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This documentation describes version 4.0.0, which is not released yet. The current version on PyPI is 3.3.0 and does not carry everything described here.

Conformance report

phonometry’s key differentiator is not the feature list but the proof behind it: every metric is implemented from the governing standard’s text, and a numerical conformance report pins each check to a standard, a clause or table, the normative expected value and the value the library actually computes, with the delta and a pass/fail verdict.

The report is an auto-generated document, regenerated by CI on every pull request (the build fails if it drifts from the code), so it is always in sync with the released library. Every row below is rendered at build time from docs/conformance.json, the committed document the checks write; the same rows as a plain table are in docs/CONFORMANCE.md.

  • Filter classes: the IEC 61260-1:2014 class verdict per filter architecture, with the measured relative attenuation at the governing band, the class-1 limit it must clear and the margin in dB.
  • Frequency weightings: A/C (IEC 61672-1 Table 3) and G (ISO 7196 A.3) deviations from the nominal curves, judged at the governing frequency with the applicable tolerance band and headroom.
  • Closest to their published limit: every check knows the limit it is judged against, so the ten that consume the largest fraction of theirs are listed first. A high figure is not a failure; it is the room the check passes with, and it is the number a tolerance table is really asking about.
  • One conformance table per domain (levels, psychoacoustics, room and building acoustics, sound power, materials, vibration, uncertainty, …): the standard and clause, the quantity, the normative value, the value the library computes, the published limit, the deviation and how much of the limit it uses. Expected values come from the standards’ own worked examples or from closed forms synthesized to a known result.

Every domain section is collapsible and stays collapsed while all of its rows pass; a section with any failing row opens automatically. Search and the domain filter open whatever answers them. Every row has its own anchor, so a single check can be linked to directly. On narrow screens the wide tables scroll sideways inside their own box.

The registry of checks lives in scripts/conformance_report.py and is run locally with make conformance, which writes docs/conformance.json and renders docs/CONFORMANCE.md from it. Expected values are single-sourced from the same reference tables the test suite enforces, so the report and the tests cannot disagree silently. This page reads the committed document and never generates it, and CI fails if the document drifts from a fresh run of the checks.

For the design philosophy behind this approach, and a worked case study on IEC 61672-1 time weighting, see Why phonometry.

Re-deriving the standards this closely also turns up defects in the published documents themselves: worked examples that contradict their own normative clauses, misprinted constants, broken cross-references. Every confirmed case, with its evidence and what the library does about it, is recorded in the errata registry.

Verdict marks.PassBy designEach mark accompanies the word beside it and never replaces it, and the silhouettes differ as much as the colours do, so a reader who cannot separate the hues can still tell them apart.

The fraction of its published tolerance each check consumes. 100 % sits exactly on the limit, and a dash means the clause states no two-sided tolerance for the quantity, so there is no budget to spend. A high figure is not a failure: it is the room the check passes with, and it never decides the verdict, which is settled at full precision before any rounding.

The ten checks closest to their published limit

StandardQuantityDeviationLimitUsed
ISO/TR 17534-3:2015 Table 3Ground-projected path length dp, m0.005 m±0.005 m100 %
DIN 4150-2:1999-06 Annex C, Example 5KB_FTr with hammer b) in the rest hours, Formula (5)-0.005±0.005100 %
DIN 4150-2:1999-06 Annex C, Example 8KB_FTm over the record with the passage maxima alone-0.0005±0.0005100 %
E DIN 4150-2:2023-08 Annex B, Table B.1KB_FTm,Zug of the metro north by Formula (5)-0.0005±0.0005100 %
Long 2e Table 14.9 (worked duct-borne sheet, supply path)Fan to room, 8 octave bands -> 52/42/30/18/9/-2/-2/-1 dB at the receiver1 dB±1 dB100 %
ISO 11820:1996 Eq. (31) / VDI 2081 Blatt 2:2005-05 Tabelle 1, PDF page 12, folio 12The mean velocity in the passages of a splitter silencer carrying 16 000 m3/h, from the face velocity and the area ratio0.005 m/s±0.005 m/s100 %
E DIN 45672-3:2023-02 Annex C, Table C.1L_v at 4 Hz by Formula (1)-0.1 dB±0.1 dB100 %
ISO 11820:1996 Table 1The printed table is a rounded version of the logarithmic subtraction and departs from it by under 0,35 dB0.3491 dB±0.35 dB100 %
IEC 60268-16 Annex MStep 2 printed intermediates: the measurement condition, row by row0.993±199 %
ISO 11820:1996 Eqs. (17) and (18) / Barron (2003) Table 3-4, PDF page 84, folio 72The energy subtraction at one measuring point, over the twenty-two printed margins from 1 dB to 20 dB0.0496 dB±0.05 dB99 %

IEC 61260-1:2014 class per filter architecture

ArchitectureClass verdictBinding bandMeasured rel. atten.Class-1 limitMargin cl.1Margin cl.2
butterClass 1501 Hz+0.00 dB≥ -0.40 dB+0.400 dB+0.600 dB
cheby1By design (passband ripple)10000 Hz+0.16 dB≥ +1.41 dB-1.245 dB-0.837 dB
cheby2Class 1794 Hz+0.00 dB≥ -0.40 dB+0.400 dB+0.600 dB
ellipBy design (passband ripple)10000 Hz+0.10 dB≥ +1.32 dB-1.218 dB-0.813 dB
besselBy design (soft rolloff)10000 Hz+9.82 dB≥ +10.62 dB-0.799 dB-0.045 dB

Frequency-weighting conformance

CurvefsMax dev. from nominal (info)Binding freqDeviation thereTolerance bandHeadroom
A48 kHz+0.050 dB @ 158 Hz1000 Hz+0.000 dB[-0.70, +0.70] dB+0.700 dB
A96 kHz+0.050 dB @ 158 Hz1000 Hz+0.000 dB[-0.70, +0.70] dB+0.700 dB
C48 kHz-0.049 dB @ 13 Hz1000 Hz+0.000 dB[-0.70, +0.70] dB+0.700 dB
G48 kHz+0.047 dB @ 1 Hz1 Hz+0.047 dB[-1.00, +1.00] dB+0.953 dB
Filters & weightings12/12
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 61260-12014Table 1Octave-band filter class (butterworth, fs=48 kHz)class 1class 1 (margin +0.400 dB)-+0.400 dB-
PassIEC 61260-12014Table 1One-third-octave filter class (butterworth, fs=48 kHz)class 1class 1 (margin +0.400 dB)-+0.400 dB-
PassIEC 612601995corroborated byANSI S1.112004Table 1Class 0 (strictest) octave-band filter (butterworth, fs=48 kHz)class 0class 0 (margin +0.150 dB)-+0.150 dB-
PassIEC 6511979Table Vread viaBS 59691981Type 0 (strictest) A-weighting tolerance mask (fs=48 kHz)Type 0Type 0 (margin +0.650 dB)-+0.650 dB-
PassIEC 6511979Table Vread viaBS 59691981Type 0 (strictest) C-weighting tolerance mask (fs=48 kHz)Type 0Type 0 (margin +0.667 dB)-+0.667 dB-
PassIEC 61260-12014Table F.1Formula (9) breakpoint mapping, b=3, Omega at G**(1/2)1.122021.12202±0.00001-0.0000015531 %
PassIEC 61672-12013Table 3A-weighting deviation vs class-1 limits (fs=48 kHz)deviation within limits @ 1000 Hz+0.000 dB in [-0.70, +0.70] dB-headroom +0.700 dB-
PassIEC 61672-12013Table 3C-weighting deviation vs class-1 limits (fs=48 kHz)deviation within limits @ 1000 Hz+0.000 dB in [-0.70, +0.70] dB-headroom +0.700 dB-
PassISO 71961995Table 2 / A.3G-weighting deviation vs +/-1 dB tolerance (fs=48 kHz)deviation within limits @ 1 Hz+0.047 dB in [-1.00, +1.00] dB-headroom +0.953 dB-
PassANSI S1.41983Tables IV/VB-weighting (historical) deviation vs Type 0 limits (fs=48 kHz)deviation within limits @ 200 Hz-0.049 dB in [-0.70, +0.70] dB-headroom +0.651 dB-
PassIEC 610121990Table 1 / 2.2AU-weighting deviation vs separate-unit tolerances (fs=96 kHz)deviation within limits @ 158 Hz+0.051 dB in [-1.00, +1.00] dB-headroom +0.949 dB-
PassIEC 5371976(withdrawn)read viaNASA CR-3406Table SLD-ID-weighting response vs the published tabulated curve (fs=48 kHz)abs(response - table) <= 0.2 dB (0.45 dB at 1600/2500 Hz)-0.281 dB @ 2500 Hz (bound 0.45 dB)-headroom +0.169 dB-
Band-filter pattern evaluation and periodic tests (IEC 61260-2, IEC 61260-3)36/36
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = -7 (below the mid-band, Formulas (1), (2))0.185460.18546±0.000010.0000017134 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = -6 (below the mid-band, Formulas (1), (2))0.327480.32748±0.00001-0.0000032765 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = -5 (below the mid-band, Formulas (1), (2))0.531430.53143±0.00001-0.0000034769 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = -4 (below the mid-band, Formulas (1), (2))0.772570.77257±0.000010.0000041783 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = -3 (below the mid-band, Formulas (1), (2))0.919580.91958±0.00001-0.0000032866 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = -2 (below the mid-band, Formulas (1), (2))0.947190.94719±0.000016.18e-81.2 %
PassIEC 61260-32016Table C.1, C.2One-third-octave test frequency Omega_k, k = -1 (below the mid-band, Formulas (1), (2))0.974020.97402±0.00001-0.0000013226 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = 0 (at the mid-band, Formulas (1), (2))11±0.0000100.0 %
PassIEC 61260-32016Table C.1, C.2One-third-octave test frequency Omega_k, k = +1 (above the mid-band, Formulas (1), (2))1.026671.02667±0.000010.0000043587 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = +2 (above the mid-band, Formulas (1), (2))1.055751.05575±0.000010.0000043286 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = +3 (above the mid-band, Formulas (1), (2))1.087461.08746±0.00001-0.0000031563 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = +4 (above the mid-band, Formulas (1), (2))1.294371.29437±0.000010.0000041082 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = +5 (above the mid-band, Formulas (1), (2))1.881731.88173±0.00001-0.0000023547 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = +6 (above the mid-band, Formulas (1), (2))3.053653.05365±0.000010.0000020641 %
PassIEC 61260-32016Table C.1One-third-octave test frequency Omega_k, k = +7 (above the mid-band, Formulas (1), (2))5.391955.39195±0.00001-0.0000013327 %
PassIEC 61260-32016Table 1Acceptance limits on relative attenuation, 8 frequency parameters x 2 classes32/32 cells32/32 cells±000.0 %
PassIEC 61260-12014Table C.1Example 1: deviation +1.7 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation exceeds acceptance limitsNo: Deviation exceeds acceptance limits±000.0 %
PassIEC 61260-12014Table C.1Example 2: deviation +1.1 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation exceeds acceptance limitsNo: Deviation exceeds acceptance limits±000.0 %
PassIEC 61260-12014Table C.1Example 3: deviation +1.0 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 61260-12014Table C.1Example 4: deviation +0.0 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 61260-12014Table C.1Example 5: deviation +0.0 dB, U 0.9 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation within acceptance limits BUT uncertainty exceeds maximum-permittedNo: Deviation within acceptance limits BUT uncertainty exceeds maximum-permitted±000.0 %
PassIEC 61260-12014Table C.1Example 6: deviation -0.5 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 61260-12014Table C.1Example 7: deviation -1.2 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 61260-12014Table C.1Example 8: deviation -1.3 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation exceeds acceptance limitsNo: Deviation exceeds acceptance limits±000.0 %
PassIEC 61260-12014Table C.1Example 9: deviation -2.0 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation exceeds acceptance limitsNo: Deviation exceeds acceptance limits±000.0 %
PassIEC 61260-12014Table C.1Example 10: deviation -2.0 dB, U 0.7 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation exceeds acceptance limits AND uncertainty exceeds maximum-permittedNo: Deviation exceeds acceptance limits AND uncertainty exceeds maximum-permitted±000.0 %
PassIEC 61260-22016corroborated byIEC 61260-32016Annex B, Formula (B.5)Swept output level L_c of a one-third-octave filter (Formula (17) of IEC 61260-1)107.97 dB107.97 dB±0.01 dB-0.001 dB20 %
PassIEC 61260-22016corroborated byIEC 61260-32016A.3.5, Formula (A.2)Standard uncertainty u_Lc of the swept output level0.057 dB0.057 dB±0.001 dB0.000385 dB77 %
PassIEC 61260-22016corroborated byIEC 61260-32016A.3.5Expanded uncertainty of the test signal (k = 2)0.115 dB0.115 dB±0.001 dB-0.000230 dB46 %
PassIEC 61260-22016corroborated byIEC 61260-32016A.3.5Expanded uncertainty read on a 0.1 dB display (k = 2)0.128 dB0.128 dB±0.001 dB0.000474 dB95 %
PassIEC 61260-22016Formula (2)corroborated byIEC 61260-12014Formulas (15), (16)Ideal octave band: Delta B = 10 lg(tanh(x/2)/(x/2)), x = ln G / (bS), S = 24 (closed form)-0.0003 dB-0.0003 dB±1.00e-12 dB0 dB0.0 %
PassIEC 61260-22016Formula (3)Ideal bank: summed outputs restore the input inside a band and on its edges (closed form)0 dBmax |Delta P| below 1e-12 dB±1.00e-12 dB0 dB0.0 %
PassIEC 61260-120145.12.2corroborated byIEC 61260-220167.2.3One-third-octave Butterworth bank (fs=48 kHz): largest |Delta B| within the class 1 +/-0.4 dBclass 1 (|Delta B| <= 0.4 dB)class 1 (|Delta B| <= 0.049 dB)-+0.351 dB-
PassIEC 61260-120145.16corroborated byIEC 61260-220167.2.4One-third-octave Butterworth bank (fs=48 kHz): summed outputs within the class 1 +0.8/-1.8 dBclass 1 (-1.8 dB <= Delta P <= +0.8 dB)class 1 (+0.000 dB to +0.248 dB)-+0.552 dB-
PassIEC 61260-120145.14.3corroborated byIEC 61260-220167.4One-third-octave multirate bank swept at 2 and 5 s per decade: |L_out - L_c| within class 1 +/-0.4 dBclass 1 (|L_out - L_c| <= 0.4 dB)class 1 (|L_out - L_c| <= 0.056 dB)-+0.344 dB-
PassIEC 61260-12014Annex G, G.2.8Swept deviation of a time-invariant band equals its effective bandwidth deviation0 dBmax |(L_out - L_c) - Delta B| 0.0070 dB±0.01 dB0.007 dB70 %
Humid air (IEC 61094-2:2009 Annex F)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 61094-22009Table F.1Set A (23 C, 101 325 Pa, 50 % RH): rho, c0, kappa, eta and alpha_t, as a fraction of the rounding of the last printed figure00.549±10.54955 %
PassIEC 61094-22009Table F.1Set B (20 C, 80 000 Pa, 65 % RH): rho, c0, kappa, eta and alpha_t, as a fraction of the rounding of the last printed figure00.96±10.9696 %
PassIEC 61094-22009Formula (F.5)Thermal conductivity and specific heat capacity close the printed thermal diffusivity, alpha_t = k_a / (rho C_P)0.000021153 m²/s0.000021153 m²/s±1e-10%0 m²/s0.0 %
Sea water (Ainslie 2010)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassAinslie(2010)Eq. (4.6), printed folio 127Density of the standard ocean: 10 C, salinity 35, at the surface1027 kg/m³1027.0439 kg/m³±0.5 kg/m³0.0439 kg/m³8.8 %
PassAinslie(2010)Eq. (4.11), printed folio 128Absolute static pressure at the surface is one atmosphere, not zero101989.16 Pa101989.16 Pa±0.00000100 Pa0 Pa0.0 %
PassAinslie(2010)Eq. (4.6) vs printed folio 177The pressure term the book's own folio 177 drops: 4,3e-7 per pascal times one atmosphere0.0438549 kg/m³0.0438549 kg/m³±1.00e-12 kg/m³0 kg/m³0.0 %
Levels & dosimetry29/29
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 61672-12013(Leq)Leq of a 1 Pa 1 kHz sine90.97 dB90.969 dB±0.05 dB-0.001 dB2.0 %
PassIEC 612521993(LEX,8h)8 h exposure to 90 dB(A) noise90 dB89.999 dB±0.05 dB-0.001 dB2.0 %
PassISO 1996-120163.6.4Lden, constant 60 dB in day/evening/night66.3952 dB66.3952 dB±0.00000100 dB0 dB0.0 %
PassISO 1996-22007Annex C.5 Example 1Tonal audibility ΔLta (Formula C.3), 4 kHz tone13.7 dB13.66 dB±0.05 dB-0.044 dB88 %
PassISO 1996-22007Annex C.5 Example 1Tonal adjustment Kt (Formulae C.4-C.6)6 dB6 dB±1.00e-9 dB0 dB0.0 %
PassISO 1996-22017Annex G.2Combined measurement uncertainty u = √(Σ(cj·uj)²)2.18 dB2.18 dB±0.01 dB-0.002 dB20 %
PassRD 1367/2007Annex IV A.3.4.2 bCorrected period level LKeq,d (Manual Ejemplo 3.1: 3 noise phases, 12 h)57 dB57 dB±1.00e-9 dB0 dB0.0 %
PassRD 1367/2007Annex I A.2 dLong-term level LK,d (Manual Ejemplo 3.2: 303 operating days of 365)56 dB56 dB±1.00e-9 dB0 dB0.0 %
PassRD 1367/2007Annex III Table B1, Article 25Activity verdict (Manual Ejemplo 3.3: area type a, LK,d 56 dB over 55 dB)phase and daily pass, annual fails, activity not compliantphase and daily pass, annual fails, activity not compliant---
PassISO 16832015Table 1Reference sound pressure, air and other gases (20 µPa)20 µPa = 2e-05 Pa2e-05 Pa (20 µPa)±0 Pa0 Pa0.0 %
PassISO 16832015Table 1Reference sound exposure, air and other gases ((20 µPa)² s)(20 µPa)² s = 4e-10 Pa²·s4e-10 Pa²·s ((20 µPa)² s)±0 Pa²·s0 Pa²·s0.0 %
PassISO 16832015Table 1Reference sound power, air and other gases (1 pW)1 pW = 1e-12 W1e-12 W (1 pW)±0 W0 W0.0 %
PassISO 16832015Table 1Reference sound energy, air and other gases (1 pJ)1 pJ = 1e-12 J1e-12 J (1 pJ)±0 J0 J0.0 %
PassISO 16832015Table 1Reference sound intensity, air and other gases (1 pW/m²)1 pW/m² = 1e-12 W/m²1e-12 W/m² (1 pW/m²)±0 W/m²0 W/m²0.0 %
PassISO 16832015Table 2Reference sound pressure, water and other liquids (1 µPa)1 µPa = 1e-06 Pa1e-06 Pa (1 µPa)±0 Pa0 Pa0.0 %
PassISO 16832015Table 2Reference sound exposure, water and other liquids (1 µPa² s)1 µPa² s = 1e-12 Pa²·s1e-12 Pa²·s (1 µPa² s)±0 Pa²·s0 Pa²·s0.0 %
PassISO 16832015Table 2Reference sound power, water and other liquids (1 pW)1 pW = 1e-12 W1e-12 W (1 pW)±0 W0 W0.0 %
PassISO 16832015Table 2Reference sound energy, water and other liquids (1 pJ)1 pJ = 1e-12 J1e-12 J (1 pJ)±0 J0 J0.0 %
PassISO 16832015Table 2Reference sound intensity, water and other liquids (1 pW/m²)1 pW/m² = 1e-12 W/m²1e-12 W/m² (1 pW/m²)±0 W/m²0 W/m²0.0 %
PassISO 16832015Table 2Reference sound particle displacement, liquids (1 pm)1 pm = 1e-12 m1e-12 m (1 pm)±0 m0 m0.0 %
PassISO 16832015Table 2Reference sound particle velocity, liquids (1 nm/s)1 nm/s = 1e-09 m/s1e-09 m/s (1 nm/s)±0 m/s0 m/s0.0 %
PassISO 16832015Table 2Reference sound particle acceleration, liquids (1 µm/s²)1 µm/s² = 1e-06 m/s²1e-06 m/s² (1 µm/s²)±0 m/s²0 m/s²0.0 %
PassISO 16832015Table 2Reference distance for compound quantities, liquids (1 m)1 m1 m±0 m0 m0.0 %
PassISO 16832015Table 3Reference vibratory displacement (1 pm)1 pm = 1e-12 m1e-12 m (1 pm)±0 m0 m0.0 %
PassISO 16832015Table 3Reference vibratory velocity (1 nm/s)1 nm/s = 1e-09 m/s1e-09 m/s (1 nm/s)±0 m/s0 m/s0.0 %
PassISO 16832015Table 3Reference vibratory acceleration (1 µm/s²)1 µm/s² = 1e-06 m/s²1e-06 m/s² (1 µm/s²)±0 m/s²0 m/s²0.0 %
PassISO 16832015Table 3Reference vibratory force (1 µN)1 µN = 1e-06 N1e-06 N (1 µN)±0 N0 N0.0 %
PassISO 16832015Table 3, note bAlternative vibratory velocity for structure-borne sound (50 nm/s)50 nm/s = 5e-08 m/s5e-08 m/s (50 nm/s)±0 m/s0 m/s0.0 %
PassISO 16832015Table 2, note bLevel re 1 µPa minus level re 20 µPa, 10 lg(20²/1²), printed ≈ 26.0 dB26 dB26.02 dB±0.05 dB0.021 dB42 %
Room & building acoustics119/119
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassCTE DB-HRAnnex A, Formula (A.5)Global index R'A for pink noise (Manual Ejemplo 7.2)51.4 dBA51.4 dBA±0.05 dBA0 dBA0.0 %
PassCTE DB-HRAnnex A, Formula (A.6)Global index D2m,nT,Atr for road traffic (Manual Ejercicio 7.1)32.8 dBA32.8 dBA±0.05 dBA0 dBA0.0 %
PassManual de acústica ambiental y arquitectónicaEjemplo 7.1Reported R'A of the field-test wall (printed 51 dBA = R'w 52 + C -1)51 dBA51 dBA±1.00e-9 dBA0 dBA0.0 %
PassManual de acústica ambiental y arquitectónicaEjemplo 7.1Reported R'A,tr of the same wall (printed 47 dBA = R'w 52 + Ctr -5)47 dBA47 dBA±1.00e-9 dBA0 dBA0.0 %
PassCTE Catálogode Elementos ConstructivosWindow size correction of RA (Manual Ejemplo 7.4: 4 m2 window, -2 dB)24 dBA24 dBA±1.00e-9 dBA0 dBA0.0 %
PassISO 3382-220085.3.3T30 from a synthetic exponential decay (T=1.0 s)1 s1 s±1%-4.65e-11 s0.0 %
PassISO 3382-12009Annex A (informative) Eq. (A.1)Sound strength of a response scaled against its free-field reference6.0206 dB6.0206 dB±1.00e-9 dB0 dB0.0 %
PassISO 3382-12009Annex A (informative) Eq. (A.2)Sound pressure exposure level of a 1 Pa burst held for 0,5 s90.9691 dB90.9691 dB±1.00e-9 dB0 dB0.0 %
PassISO 3382-12009Annex A (informative) A.2.1A calibration shared by both responses cancels out of G0 dB shift (+/-1e-09 dB)max shift over 6 bands below 1e-12 dB±1.00e-9 dB0 dB0.0 %
PassISO 3382-12009Annex A (informative) Eqs. (A.4)/(A.8)Free-field reference referred from 5 m to 10 m-6.0206 dB-6.0206 dB±1.00e-12 dB0 dB0.0 %
PassISO 3382-12009Annex A (informative) Eq. (A.5)Reverberation-room reference level, A = 0,16 V/T = 10 m253 dB53 dB±1.00e-12 dB0 dB0.0 %
PassISO 3382-12009Annex A (informative) Eqs. (A.5)/(A.9)The two printed routes to G span the 0,0206 dB their integers force0.0206 dB0.0206 dB±1.00e-12 dB0 dB0.0 %
PassISO 3382-12009Annex A (informative) A.2.1 noteEnergy mean of a cosine directivity over a full turn-3.0103 dB-3.0103 dB±1.00e-12 dB0 dB0.0 %
PassISO 3382-12009Annex A (informative) Eq. (A.14)Early lateral energy fraction of one reflection at 45 degrees0.10.1±1.00e-1200.0 %
PassISO 3382-12009Annex A (informative) Eq. (A.15)Cosine-weighted lateral fraction of two mirror-image reflections0.2357020.235702±1.00e-1200.0 %
PassISO 3382-12009Annex A (informative) Eq. (A.16)Late lateral sound level of one arrival past the early window-12.0412 dB-12.0412 dB±1.00e-9 dB0 dB0.0 %
PassISO 3382-12009Annex A (informative) Eq. (A.17)Energy average of the four late lateral octave bands2.43038 dB2.43038 dB±1.00e-12 dB0 dB0.0 %
PassISO 3382-12009Annex B (informative) Eqs. (B.1)/(B.2)Interaural correlation of two channels in anti-phaseIACC = 1; min IACF = -1IACC = 1; min IACF = -1±000.0 %
PassISO 3382-12009Annex C (informative) Eqs. (C.1)/(C.2)Stage support of one arrival in each printed windowST_Early = -13.9794 dB; ST_Late = -20 dBST_Early = -13.9794 dB; ST_Late = -20 dB±0 dB0 dB0.0 %
PassISO 3382-12009C.2.4The two printed stage-support standard deviations close on 12 readings0.3 dB1 dB / sqrt(12) = 0.2887 dB -> 0.3 dB±1.00e-12 dB0 dB0.0 %
PassISO 3382-12009Eq. (5)Standard deviation of T30, 2 s in the 1 kHz octave, n = 10, N = 120.00904449 s0.00904449 s±1.00e-12 s0 s0.0 %
PassISO 3382-12009Eqs. (4)/(5)The two evaluation ranges differ by the printed 0,88/0,55 and decay terms1.626174791.62617479±1.00e-1200.0 %
PassISO 3382-12009Eqs. (6)/(7)Shortest reliable decay time of a 125 Hz octave forward analysis0.180282 s0.180282 s±1.00e-12 s0 s0.0 %
PassISO 3382-12009Table A.1The single number of each quantity averages the bands the table namesG_m = 0.45; J_LFm = 0.35G_m = 0.45; J_LFm = 0.35±000.0 %
PassISO 3382-12009Table A.1 footnote aOnly the late lateral level is energy averaged, and it differs-3.532403 dB-3.5324 dB, against -6.5000 dB arithmetic±1.00e-12 dB0 dB0.0 %
PassISO 3382-12009Table A.2Minimum receiver positions at the three printed hall sizes500 seats = 6; 1000 seats = 8; 2000 seats = 10500 seats = 6; 1000 seats = 8; 2000 seats = 10±000.0 %
PassISO 3382-120094.2.1A gliding directivity survey references the whole-turn energy mean1 (+/-1e-09)1±0.00000000100.0 %
PassISO 3382-12009Clause 9.1A one-third-octave fiche averages the six bands, not two of themband 1 = 400 Hz; band 2 = 500 Hz; band 3 = 630 Hz; band 4 = 800 Hz; band 5 = 1000 Hz; band 6 = 1250 Hzband 1 = 400 Hz; band 2 = 500 Hz; band 3 = 630 Hz; band 4 = 800 Hz; band 5 = 1000 Hz; band 6 = 1250 Hz±0 Hz0 Hz0.0 %
PassISO 182332006(swept-sine method)Sweep deconvolution recovers a known IIR response0 dB in-band error (+/-0.1 dB)0.0006 dB±0.1 dB0.0006 dB0.6 %
PassISO 717-1Annex C, Table C.1Weighted sound reduction index Rw (C;Ctr)Rw 30 (C -2; Ctr -3)Rw 30 (C -2; Ctr -3), unfavourable sum 31.8 dB±000.0 %
PassISO 717-12020Annex C, Table C.2Enlarged range 50-5000 Hz: Rw (C; Ctr; C50-5000; Ctr,50-5000)Rw 30 (C -2; Ctr -3; C50-5000 -2; Ctr,50-5000 -4)Rw 30 (C -2; Ctr -3; C50-5000 -2; Ctr,50-5000 -4)-exact-
PassISO 717-2Annex C, Table C.1Weighted impact sound pressure level Ln,w (CI)Ln,w 79 (CI -11; sum 28.0 dB)Ln,w 79 (CI -11; sum 28.0 dB)-+0 dB-
PassISO 717-2Annex C, Table C.1 (covered)Weighted impact level of the floor WITH covering Ln,w (CI)Ln,w 64 (CI -3; sum 30.0 dB)Ln,w 64 (CI -3; sum 30.0 dB)-+0 dB-
PassISO 717-2Annex C, Table C.2Floor-covering improvement ΔLw and CI,Δ (Formulae (2)/(A.4); CI,Δ from the normative Table 4 floor, not the 2020 print's misprinted C.2 chain)ΔLw 15 dB; CI,Δ -9 dB (Table 4 reference floor)ΔLw 15 dB; CI,Δ -9 dB-+0 dB-
PassISO 3542003Eq. 5/8Sabine inversion recovers absorption area9.212828 m²9.212828 m²±1.00e-9 m²0 m²0.0 %
PassISO 3382-32012Clause 6.2Open-plan spatial decay rate D2,S (-6 dB/doubling)6 dB6 dB±1.00e-9 dB0 dB0.0 %
PassISO 16283-32016Clause 3.12Facade R'45 isolates the -1.5 dB incidence correction (S=A)38.5 dB38.5 dB±1.00e-9 dB0 dB0.0 %
PassISO 16283-12014Clause 8.1corroborated byISO 16283-22020Clause 8.1corroborated byISO 16283-32016Clause 7.3.1Low-frequency trigger: V < 25 m³ to the nearest cubic metre7/7 room volumes on either side of 25 m³7/7 room volumes on either side of 25 m³±000.0 %
PassISO 16283-12014Clause 5corroborated byISO 16283-22020Clause 5.1corroborated byISO 16283-32016Clause 5Low-frequency band set is 50 Hz, 63 Hz and 80 Hzband 1 = 50 Hz; band 2 = 63 Hz; band 3 = 80 Hzband 1 = 50 Hz; band 2 = 63 Hz; band 3 = 80 Hz±0 Hz0 Hz0.0 %
PassISO 16283-12014Formula (12)corroborated byISO 16283-22020Formula (15)Corner level is the highest corner per band, energy-averaged over qFormula (12) over q = 2 positions (closed form)max deviation 0.000000000 dB±0.000000001 dB0 dB0.0 %
PassISO 16283-12014Formula (13)corroborated byISO 16283-22020(16)corroborated byISO 16283-32016(5)L_LF combines the corner and default levels one third to two thirdsthe printed Formula (13) (closed form)max deviation 0.000000000 dB±0.000000001 dB0 dB0.0 %
PassISO 16283-12014Formula (13)corroborated byISO 16283-22020(16)corroborated byISO 16283-32016(5)L_LF degenerates to L when the corner level equals itL_LF = L for L_Corner = L (closed form)max deviation 0.000000000000 dB±0.000000000001 dB0 dB0.0 %
PassISO 16283-12014Formula (13)corroborated byISO 16283-22020(16)corroborated byISO 16283-32016(5)L_LF floor at 10 lg(2/3) below L as the corners fall silent48.239087 dB (+/-1e-09 dB, closed form)48.239087 dB±1.00e-9 dB0 dB0.0 %
PassISO 16283-12014Formula (13)corroborated byISO 16283-22020(16)corroborated byISO 16283-32016(5)L_LF rises strictly with the corner level, over 80 dB of it400/400 steps rising with the corner level (closed form)400/400 steps rising with the corner level±000.0 %
PassISO 16283-12014Clause 10.4corroborated byISO 16283-22020Clause 10.4corroborated byISO 16283-32016Clause 8.463 Hz octave T replaces exactly the 50 Hz, 63 Hz and 80 Hz bands5/5 reverberation-time bands5/5 reverberation-time bands±000.0 %
PassISO 16283-12014(13)corroborated byISO 16283-22020(16)corroborated byISO 16283-32016(5)Airborne, impact and facade run one low-frequency implementation3/3 parts reaching the same L_LF3/3 parts reaching the same L_LF±000.0 %
PassISO 10140-22010Formula (2)Lab airborne R on the ISO 717-1 reference shape -> Rw = 54Rw 54 dBRw 54 dB-+0 dB-
PassISO 10140-52010+A1Annex B, Table B.1Reference elements end-to-end: printed Rw (C; Ctr) of all threeRw(C;Ctr) = 53(-1;-5) / 52(-1;-5) / 33(-1;-2)53(-1;-5) / 52(-1;-5) / 33(-1;-2)-exact-
PassISO 10140-52010+A1Annex C, Table C.1Reference floors end-to-end: printed Ln,t,r,0,w (CI) of bothLn,t,r,0,w(CI) = 72(0) / 75(-3)72(0) / 75(-3)-exact-
PassISO 15186-12000Formula (7)Intensity RI on the ISO 717-1 reference shape -> RI,w = 30RI,w 30 dB (scalar anchor RI = 34 dB)RI,w 30 dB (RI = 34 dB)-+0 dB-
PassISO 15186-12000Annex B, Table B.1Adaptation term Kc: all 21 printed rows; (B.1) reduces to (B.2)max abs(Kc - Table B.1) <= 0,05 dB (1 dp print)0.047 dB (B.1 vs B.2: 4.33e-04 dB)-0.047 dB-
PassISO 15186-32002Annex A, Table A.1Limp-panel qualification: the printed plaster-board columnmax abs(R - Table A.1) <= 0,05 dB (1 dp print)0.050 dB over 50 Hz to 160 Hz-0.050 dB-
PassISO 15186-32002Formula (7)Low-frequency RI subtracts 9 dB, three more than part 1RI = 15 dB, 3 dB below part 1; FpI = 8 dB qualifies at 10 not 6RI = 15 dB, part 1 - part 3 = 3 dB-+0.000 dB-
PassISO 15186-32002Clause 3.9, Formula (8)Low-frequency DI,n,e; the series' own +10 lg N signDI,n,e = 21 dB; N = 4 adds 6.021 dB21 dB; N = 4 adds 6.021 dB-below 1e-12 dB-
PassISO 100522021Clause 3.6Survey R' applies the V/7,5 minimum-area rule26.197888 dB26.197888 dB±1.00e-9 dB0 dB0.0 %
PassISO 100522021Clause 3.16Service-equipment LXY is the 3-position energy average32.823329 dB32.823329 dB±1.00e-9 dB0 dB0.0 %
PassISO 100522021Table 4Reverberation-index estimate (35 <= V < 60, type g)k = [4.5, 5.0, 5.5, 5.5, 5.5] dBk = [4.5, 5.0, 5.5, 5.5, 5.5] dB-exact-
PassISO 717-22020Table 4 / Clause 5.2Reference-floor weighted level Ln,r,0,w and CI (ISO 16251-1 ΔLw anchor)Ln,r,0,w = 78 dB, CI = -11 dBLn,r,0,w = 78 dB, CI = -11 dB-exact-
PassISO 16251-12014corroborated byISO 717-2Formula (2)Floor-covering ΔLw: zero improvement gives ΔLw = 0ΔLw = 0 dB (ΔL = 0 -> Ln,r = Ln,r,0)ΔLw = 0 dB-exact-
PassISO 16251-1corroborated byISO 717-2also namesForet et al.2011carpetMeasured textile-carpet improvement rates to ΔLw = 29 dBΔLw = 29 dB (paper, ISO 16251-1)ΔLw = 29 dB-+0 dB-
PassISO 10848-12006Formula (14)Flanking Kij (simplified) matches closed formKij = 1.9897 dBKij = 1.9897 dB-exact-
PassISO 10848-12006Formula (12)Flanking equivalent absorption length aj at f_refaj = 1.2661 maj = 1.2661 m-exact-
PassISO 10848-12006Clause 7.3.1Flanking total loss factor η = 2,2/(f·Ts)η = 0.0044η = 0.0044-exact-
PassISO 12354-12017Formula (20)compared withHopkinsEq. 2.201 (6 mm glass)Flanking critical frequency (c0²/1,8·cL·h) vs plate coincidence (c0²/2π · sqrt(m''/B'))2107.4 Hz2123.5 Hz±1%16.156 Hz77 %
PassEN 29052-11992Formula 4Apparent dynamic stiffness s't = 4π²·m't·fr² (m't=200 kg/m², fr=25 Hz)4.934802 MN/m³4.934802 MN/m³±0.000001 MN/m³0 MN/m³0.0 %
PassEN 29052-11992clause 8.2 NOTEEnclosed-gas stiffness s'a·d = 111 MN·mm/m³ (p₀=0,1 MPa, ε=0,9)5.55556 MN/m³5.55556 MN/m³±0.0001 MN/m³5.56e-9 MN/m³0.0 %
PassEN 29052-11992Formula 2Floating-floor natural frequency f0 = (1/2π)√(s'/m') (s'=10 MN/m³, m'=100 kg/m²)50.32921 Hz50.32921 Hz±0.00000100 Hz0 Hz0.0 %
PassISO 7626-12011Table 1 / 3.1.2Closed-form SDOF driving-point mobility peak mag(Y(f0)) = 1/c (c=5 N·s/m)0.2 m/(N·s)0.2 m/(N·s)±0.000001 m/(N·s)0 m/(N·s)0.0 %
PassISO 7626-12011Table 1 / 3.1.2Closed-form SDOF static receptance H(0) = 1/k (k=8000 N/m)0.000125 m/N0.000125 m/N±0.0001%0 m/N0.0 %
PassISO 7626-12011Table 1FRF reciprocity: impedance × mobility = 1 (at 37 Hz)1 (= Z·Y)1±1.00e-900.0 %
PassISO 717-22020Table D.4A-weighted maximum impact level LiA,Fmax of the Annex D worked example55,350 66... dB (rated 55 dB)55.350668 dB±0.0001 dB0.000001 dB1.0 %
PassISO 16283-22020Table A.1corroborated byJIS A 1418-22019Table A.2Rubber-ball impact force exposure level LFE, five octave bands39,0 / 31,0 / 23,0 / 17,0 / 12,5 dB re 1 N at 31,5 to 500 Hz39 / 31 / 23 / 17 / 12,5 dB re 1 N-max |dev| 0.000 dB-
PassISO 16283-22020Formulae (4), (5), (6)Standardized maximum impact level reduces to 10 lg(V/V0) at T = T073,0103 dB (= 70 + 10 lg(100/50))73.0103 dB±1.00e-9 dB0 dB0.0 %
PassASTM E413-22clause 5also namesASTM E1414CACCeiling attenuation class of two accredited E1414 test reportsCAC 34 (ALA 16-091-4); CAC 25, sum 24 dB (Intertek J7488.04)CAC 34; CAC 25, sum 24.0 dB-exact-
PassISO 140-91985clause 3.3Normalized ceiling attenuation Dn,c = D - 10 lg(A/A0), A0 = 10 m243.0103 dB43.0103 dB±1.00e-9 dB0 dB0.0 %
PassVigran(2008)Eqs. (9.18)-(9.20)Plenum model: Eq. (9.18) converges to Eq. (9.20) as the damping vanishesEq. (9.20) value, reproduced by Eq. (9.18)139.5682 dB±0.001 dB0.0004 dB40 %
PassHopkins(2007)Eq. 4.89 / Fig. 4.35Mass-spring-mass resonance of a masonry cavity wall without and with ties26 Hz (no ties) / 50 Hz (2,5 ties/m2, k = 2 MN/m)26.15 Hz / 49.93 Hz-+0.15 / -0.07 Hz-
PassHopkins(2007)Table A4Dynamic stiffness of four wall ties (butterfly, double-triangle, twist)1,7 / 16,1 / 94,0 MN/m at 50 mm; 43,4 MN/m at 100 mm1.7 / 16.1 / 94 / 43.4 MN/m-exact-
PassISO 10846-220083.17Transfer-stiffness level Lk = 20 lg(|k|/k0), k0 = 1 N/m (|k| = 1 MN/m)120 dB120 dB±0.00000100 dB0 dB0.0 %
PassISO 10846-32002Formula (1)Indirect method k2,1 = -(2πf)²·m2·T (f=500 Hz, m2=10 kg, T=0,01)-986960.4 N/m-986960.4 N/m±0.1%0 N/m0.0 %
PassISO 10846-12008Table A.2FRF relation k = jω·Z at 250 Hz (|k| recovered from impedance)1001249.2 N/m1001249.2 N/m±0.0001%0 N/m0.0 %
PassISO 7626-220157.5.2Rigid-mass calibration: accelerance mag(A) = 1/m (m=10 kg)0.1 1/kg0.1 1/kg±1.00e-9 1/kg0 1/kg0.0 %
PassISO 7626-220157.5.2Rigid-mass calibration: mobility mag(Y) = 1/(2πf·m) at 100 Hz (m=10 kg)0.0001592 m/(N·s)0.0001592 m/(N·s)±0.001%-5.69e-11 m/(N·s)3.6 %
PassISO 7626-22015Annex ANormalized random error ε = √((1−γ²)/(2nγ²)): γ²=0,8, n=75 → 4,08 % (< 5 %)4.08 %4.08 %±0.01 %0.002 %40 %
PassISO 7626-12011Table 1Rigid 1 kg mass at ω = 1000 rad/s: mobility 1e-3, compliance 1e-6 (decades)0.001 m/(N·s)0.001 m/(N·s)±1e-7%0 m/(N·s)0.0 %
PassISO 10846-320026.1 Inequality (2)Indirect-method validity limit mag(T) = 0,1 ↔ ΔL1,2 = 20 dB20 dB20 dB±1.00e-9 dB0 dB0.0 %
PassISO 10846-320026.1Model bias at the validity limit: k_ind/k = 1,1 (0,83 dB ≤ 1 dB, 10 % ≤ 12 %)1.11.1±1e-7%00.0 %
PassISO 10846-12008Equation (6)Delivered/blocking force F2/F2,b = 1/1,1 at mag(k2,2/kt) = 0,1 (within 10 %)0.90910.9091±1.00e-900.0 %
PassISO 10846-220087.7corroborated byISO 10846-320027.6Linearity: ΔLk ≤ 1,5 dB for input spectra 10 dB apart (linear element: 0)ΔLk ≤ 1,5 dB (-2 7.7 c), -3 7.6 c))0 dB±1.5 dB0 dB0.0 %
PassISO 10846-42003Formula (11)corroborated byISO 10846-52008Formula (6)A band of five identical lines averages to that line (closed form, 1 MN/m)1000000 N/m1000000 N/m±1e-7%0 N/m0.0 %
PassISO 10846-42003Formula (11)Squared-magnitude average of |k| = 1 to 5 MN/m is √11 MN/m (closed form)3316624.8 N/m3316624.8 N/m±1e-10%0 N/m0.0 %
PassISO 10846-420038.3corroborated byISO 10846-520088.2A band of four lines has no band value: n ≥ 5 frequencies1/1 band of four lines left undetermined1/1 band of four lines left undetermined±000.0 %
PassISO 10846-52008Formula (3)A massless spring gives a flat k1,1 = k from 1 Hz to 400 Hz, f_UL never reached0 N/m (flat |k|, no f_UL)2.33e-10 N/m±0.000001 N/m2.33e-10 N/m0.0 %
PassISO 10846-520086.2f_UL of a 1 MN/m spring under a 2 kg plate: 2 dB below the 1 Hz to 20 Hz value (closed form)52.119 Hz52.119 Hz±0.01 Hz-0.000236 Hz2.4 %
PassISO 10846-52008Formula (7)Every band of k1,1 at or below f_UL is within 2 dB of k2,1 (2 kg plate on 1 MN/m)within 2 dB (8.3)1.779 dB±2 dB1.779 dB89 %
PassISO 10846-42003Inequality (3)Output mass limit 0,06·|F2|/|a2|: LF2 = 120 dB, La2 = 100 dB gives 0,6 kg0.6 kg0.6 kg±1e-10%0 kg0.0 %
PassISO 10846-420036.2 NOTE 1m0 on the Inequality (3) bound: worst-case force-level bias -20 lg 0,94 = 0,537 dB, the 0,5 dB NOTE 1 prints to one decimal (1 dp print)0,5 dB (1 dp print, +/-0,05 dB)0.537 dB±0.05 dB0.037 dB74 %
PassISO 10846-42003Formula (6)A rigid 25 kg block: m2,eff = |2F2/(a'1 + a''1)| = m2 at every frequency0 kg0 kg±1.00e-12 kg0 kg0.0 %
PassISO 10846-42003Inequality (5)corroborated byISO 10846-32002Inequality (3)f3 of m2,eff = m2(1 + (f/3 kHz)²): the 1 dB crossing, 3000·√(10^(1/20) - 1) Hz1047.93 Hz1047.93 Hz±0.05 Hz-0.000235 Hz0.5 %
PassISO 10846-52008Inequalities (1) and (2)20 dB and 15 dB hold at equality and fail 0,1 dB below4/4 verdicts at and below the limits4/4 verdicts at and below the limits±000.0 %
PassISO 10846-52008Formulas (B.2) and (B.3)Budget from the B.3 expressions: u = 1,394 dB, U = 2u = 2,789 dB (no repeatability spread)2.7887 dB2.7887 dB±1.00e-9 dB0 dB0.0 %
PassISO 10846-52008Table B.1The Table B.1 inputs (B.3 expressions rounded up to one decimal) give u = √2,12 = 1,456 dB1.456 dB1.456 dB±1.00e-9 dB0 dB0.0 %
PassISO/TS 7849-12009Formula (8)Calibration L_v from â = 9,81 m/s² at 100 Hz (standard's EXAMPLE)106.9 dB106.9 dB±0.1 dB-0.02 dB40 %
PassISO/TS 7849-22009Formula (15)L_W from L_v via measured radiation factor = 10 lg(P/P0) (round-trip)84.771 dB84.771 dB±0.00000100 dB0 dB0.0 %
PassISO/TS 7849-12009Formula (12)Impedance term: L_W − L_v = 10 lg(411/400) at ε = 1, S = S00.1178 dB0.1178 dB±1.00e-9 dB0 dB0.0 %
PassEN 156572018Formula (14)Reception-plate L_Ws = resonant-plate power P = ωη(mS)⟨v²⟩ (round-trip)55.545 dB55.545 dB±0.00000100 dB0 dB0.0 %
PassEN 156572018Formula (13)Plate loss factor η = 2,2/(f·Ts) at 1 kHz, Ts = 0,3 s0.00730.0073±1.00e-900.0 %
PassEN 156572018Formulae (15)/(17)corroborated byEN 12354-5Annex I.3Source conversion chain reproduces Table I.8 (wall, installed)max abs(L_Ws,inst - Table I.8) <= 0,15 dB0.055 dB±0.15 dB0.055 dB37 %
PassISO 96111996eq. (9)Mean free velocity level (energy mean, v0 = 5e-8 m/s)72.3017 dB72.3017 dB±1.00e-9 dB0 dB0.0 %
PassISO 12354-12017Annex L, Tables L.2 to L.4In-situ element chain: 10 lg sigma, 10 lg sigma_f, eta_tot, Rsitu, a_situ (21 bands x 5 elements)0 dB0.057 dB±0.1 dB0.057 dB57 %
PassISO 12354-12017Annex L, Table L.1Detailed airborne model: 13 paths + R' per band, R'w = 57 dBmax path/total dev <= 0,1 dB; R'w = 57 dB0.055 dB; 57 dB-0.055 dB-
PassISO 12354-22017Annex G, Tables G.3, G.4 and G.1Detailed impact model: Ln,situ, Ln,Dd, Ln,Df, L'n per band, L'n,w = 41 dBmax path/total dev <= 0,1 dB; L'n,w (CI) = 41 (2) dB0.077 dB; 41 (2) dB-0.077 dB-
PassHopkins(2007)3.6.3.1 / 4.4.3.1, printed pp. 276-282 and 513-514Tapping machine: vo, cut-off frequencies fco of a bare slab and two soft coverings (7 000 / 2 300 / 100 Hz)00.0077±0.020.007739 %
PassHopkins(2007)Figs. 3.30/3.31 and 4.73, printed pp. 281 and 524Over/under-critical case of four walking surfaces; double floating-floor resonances 74 Hz and 195 Hz4/4 critical cases; fmsms = 74 / 195 Hz (+/-2%)4/4; 74.1 / 194.0 Hz-0.53%-
PassISO 12354-22017Annex C / Annex G Table G.4Floating floor: fo = 160 sqrt(s'/m') = 52,8 Hz, DeltaL = 30 lg(f/fo) over 21 bands, DeltaLw = 32,2 dB0 dB0.048 dB±0.05 dB0.048 dB96 %
PassISO 12354-12017Annex Dcorroborated byHopkins(2007)Fig. 4.48, printed p. 486Lining resonance (Formula D.1) 542 Hz and the Table D.1 improvement branchesfo = 542 Hz (+/-1%); 8/8 Table D.1 rows541.9 Hz; 8/8-0.02%-
PassEN 12354-52009Formula (19b/19c)Coupling term → force-source limit 10 lg(mag(Ys)/Re{Yi}) as mag(Ys) ≫ mag(Yi)40 dB40.001 dB±0.01 dB0.001 dB10 %
PassEN 12354-52009Annex I.3, Table I.9Flushing cistern: four paths + Formula (17) total -> 29 dB(A)max path/total dev <= 0.15 dB; total 29 dB(A)0.055 dB; 29.3 dB(A)-0.055 dB-
PassEN 12354-52009Annex I.2, Table I.6aWhirlpool floor component: mobility correction + path 11max abs(dev vs Table I.6a) <= 0,15 dB0.1 dB±0.15 dB0.1 dB67 %
Room acoustics16/16
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassSabine (W. C. Sabine, 1922)Reverberation time T = k·V/A (V=120 m³, S=158 m², α=0.2)0.611825 s0.611825 s±0.000001 s4.25e-11 s0.0 %
PassLong, Architectural Acoustics2eTable 8.1Room modes of a 7 x 5 x 3 m room: the six printed frequencies, Hz42.4 Hz42.27 Hz±0.13 Hz-0.126 Hz97 %
PassLong, Architectural Acoustics2eEq. (8.46)Modal density of a 7 x 5 x 3 m room at 1 kHz = 34 modes/Hz34 modes/Hz34.32 modes/Hz±0.5 modes/Hz0.32 modes/Hz64 %
PassLong, Architectural Acoustics2eEq. (17.51)Restaurant self-noise, 20 talkers over 20 metric sabins = 76 dB76 dB76.021 dB±0.05 dB0.021 dB42 %
PassLong, Architectural Acoustics2eEq. (17.54)Privacy bound A_tab < 3.16 rt^2 (Q = 2, L_SN = -9 dB)3.16 m²3.164 m²±0.005 m²0.004 m²80 %
PassEverest, Master Handbook of Acoustics4th edFig. 7-22Sabine RT, worked Example 1 @ 1 kHz (untreated 23.3×16×10 ft room, SI)3.39 s3.402 s±0.02 s0.012 s60 %
PassEyring (Norris-Eyring, 1930)Reverberation time T = k·V/(-S·ln(1-ᾱ)) (α=0.2)0.548369 s0.548369 s±0.000001 s-4.34e-11 s0.0 %
PassArau-Puchades (Acustica 65, 1988, Formula 18)T (α=0.5/0.1/0.1 per wall pair, dims 8×5×3 m)0.812147 s0.812147 s±0.000001 s4.47e-11 s0.0 %
PassModel identity (uniform absorption)Arau-Puchades ≡ Eyring when ᾱ is uniform0.548369 s (= Eyring)0.548369 s±1.00e-9 s0 s0.0 %
PassVorlander Auralization2eEq. (11.38)-(11.39)Image-source direct-sound amplitude 1/(4πr) and delay r/c (r = 4 m)0.01989440.0198944±1.00e-900.0 %
PassKuttruff Room Acoustics6eEq. (9.23)Audible shoebox image count up to order 10 (= 1560)15601560±000.0 %
PassKuttruff Room Acoustics6eEq. (4.6)Temporal reflection density dN/dt = 4πc³t²/V (t = 0.1 s, V = 120 m³)42258.2 1/s42258.2 1/s±0.00000100 1/s0 1/s0.0 %
PassBies5eEq. (6.44)Room constant R = Sᾱ/(1-ᾱ) (S = 100 m², ᾱ = 0.2 → 25 m²)25 m²25 m²±1.00e-9 m²0 m²0.0 %
PassBies5eEq. (6.43)Critical distance rc: direct field = reverberant field (R = 25, Q = 1)0.160000 (= reverberant term)0.16±1.00e-900.0 %
PassKuttruff Room Acoustics6eEq. (3.44)Schroeder frequency f_s = 2000√(T/V) (V = 200 m³, T = 1 s)141.421 Hz141.421 Hz±0.00000100 Hz0 Hz0.0 %
PassBies5eEq. (6.43)Steady-state SPL Lp = Lw + 10lg(Q/4πr² + 4/R) (Lw=90, r=1, R=25, Q=1)83.7945 dB83.7945 dB±0.00000100 dB0 dB0.0 %
Sound calibrators and the conformance rule (IEC 60942, IEC 61672-1)28/28
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 609422017Table E.1Example 1: |deviation| 0.40 dB, U 0.12 dB against 0.25 dB and 0.15 dBNo: Deviation exceeds acceptance limitsNo: Deviation exceeds acceptance limits±000.0 %
PassIEC 609422017Table E.1Example 2: |deviation| 0.35 dB, U 0.12 dB against 0.25 dB and 0.15 dBNo: Deviation exceeds acceptance limitsNo: Deviation exceeds acceptance limits±000.0 %
PassIEC 609422017Table E.1Example 3: |deviation| 0.20 dB, U 0.13 dB against 0.25 dB and 0.15 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 609422017Table E.1Example 4: |deviation| 0.00 dB, U 0.14 dB against 0.25 dB and 0.15 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 609422017Table E.1Example 5: |deviation| 0.00 dB, U 0.17 dB against 0.25 dB and 0.15 dBNo: Deviation within acceptance limits BUT uncertainty exceeds maximum-permittedNo: Deviation within acceptance limits BUT uncertainty exceeds maximum-permitted±000.0 %
PassIEC 609422017Table E.1Example 6: |deviation| 0.25 dB, U 0.10 dB against 0.25 dB and 0.15 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 609422017Table E.1Example 7: |deviation| 0.25 dB, U 0.15 dB against 0.25 dB and 0.15 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 609422017Table E.1Example 8: |deviation| 0.40 dB, U 0.50 dB against 0.25 dB and 0.20 dBNo: Deviation exceeds acceptance limits AND uncertainty exceeds maximum-permittedNo: Deviation exceeds acceptance limits AND uncertainty exceeds maximum-permitted±000.0 %
PassIEC 61672-12013Table C.1Example 1: deviation +1.7 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation exceeds acceptance limitsNo: Deviation exceeds acceptance limits±000.0 %
PassIEC 61672-12013Table C.1Example 2: deviation +1.1 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation exceeds acceptance limitsNo: Deviation exceeds acceptance limits±000.0 %
PassIEC 61672-12013Table C.1Example 3: deviation +1.0 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 61672-12013Table C.1Example 4: deviation +0.0 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 61672-12013Table C.1Example 5: deviation +0.0 dB, U 0.9 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation within acceptance limits BUT uncertainty exceeds maximum-permittedNo: Deviation within acceptance limits BUT uncertainty exceeds maximum-permitted±000.0 %
PassIEC 61672-12013Table C.1Example 6: deviation -0.5 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 61672-12013Table C.1Example 7: deviation -1.2 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBYes: Deviation within acceptance limits AND uncertainty within maximum-permittedYes: Deviation within acceptance limits AND uncertainty within maximum-permitted±000.0 %
PassIEC 61672-12013Table C.1Example 8: deviation -1.3 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation exceeds acceptance limitsNo: Deviation exceeds acceptance limits±000.0 %
PassIEC 61672-12013Table C.1Example 9: deviation -2.0 dB, U 0.3 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation exceeds acceptance limitsNo: Deviation exceeds acceptance limits±000.0 %
PassIEC 61672-12013Table C.1Example 10: deviation -2.0 dB, U 0.7 dB against +1.0; -1.2 dB and 0.5 dBNo: Deviation exceeds acceptance limits AND uncertainty exceeds maximum-permittedNo: Deviation exceeds acceptance limits AND uncertainty exceeds maximum-permitted±000.0 %
PassIEC 609422017Table 2Level and short-term fluctuation limits, dashes and ranges, by class84/84 printed cells84/84 printed cells±000.0 %
PassIEC 609422017Tables 3, 4 and 6Supply-voltage, frequency and environmental-frequency limits, by class9/9 printed cells9/9 printed cells±000.0 %
PassIEC 609422017Tables 5 and 7Environmental level and total distortion + noise limits, by class56/56 printed cells56/56 printed cells±000.0 %
PassIEC 609422017Tables A.1, A.3 and A.4Maximum-permitted uncertainties keyed by frequency, by class140/140 printed cells140/140 printed cells±000.0 %
PassIEC 609422017Tables A.2 and A.5, A.5.5.7Maximum-permitted uncertainties of the frequency and the supply-voltage effect9/9 printed cells9/9 printed cells±000.0 %
PassIEC 6094220175.9.4.2 and A.7.4.8Level change in a power- or radio-frequency field and its maximum uncertainty6/6 printed cells6/6 printed cells±000.0 %
PassIEC 609422017A.6.4.7Reduced limits of the abbreviated environmental test6/6 printed cells6/6 printed cells±000.0 %
PassIEC 6094220175.1.15 with Tables 2 and A.1Table E.1 examples 1 to 7 as a class 1 level at 1 kHz, 7 verdictsNo, No, Yes, Yes, No, Yes, Yes7/7 verdicts±000.0 %
PassIEC 609422017A.6.4.70,22 dB conforms to Table 5 and not to the abbreviated test, 2 verdictsconforms to Table 5 (0,25 dB), not to A.6.4.7 (0,20 dB)2/2 verdicts±000.0 %
PassIEC 6094220175.5 and A.6.2.4 with Tables 2, 5, A.4 and A.5Class 1 at 2 kHz: 0,33 dB out of the band and in it, -0,5 % with U 0,25 %, 3 verdictsNo by Table 5 (0,30 dB); Yes by Table 2 (0,35 dB); No, U over Table A.5 (0,2 %)3/3 verdicts±000.0 %
Psychoacoustics14/14
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassMoore, Psychology of Hearing6ep. 77also namesGlasberg & Moore1990ERB_N number of 1000 Hz = 15.59 Cam15.59 Cam15.5932 Cam±0.005 Cam0.0032 Cam64 %
PassMoore, Psychology of Hearing6ep. 76also namesGlasberg & Moore1990ERB_N at 1 kHz vs the printed 24.7(4.37F + 1), Hz132.639 Hz132.445 Hz±0.3%-0.194 Hz49 %
PassISO 532-12017Annex B.2Zwicker loudness N, stationary test signal 183.2957 sone (+/-0.1%)83.2957 sone-0 sone-
PassISO 532-12017Annex B.5Time-varying loudness Nmax, technical signal 14 (aircraft, free field)22.6399 sone22.6399 sone±0.1%0.00000792 sone0.0 %
PassISO 532-12017Annex B.5Time-varying loudness Nmax, technical signal 15 (vehicle interior, diffuse field)9.6059 sone9.6059 sone±0.1%-0.0000308 sone0.3 %
PassDIN 456922009-08Clause 6Sharpness of the standard 1 kHz reference signal1 acum1 acum±1.00e-9 acum0 acum0.0 %
PassDIN 456922009-08Table A.2Sharpness of critical-band noise at 2.5 kHz (2320-2700 Hz, 4 sone)1.78 acum1.747 acum±0.089 acum-0.033 acum37 %
PassISO 2262023Table B.1Equal-loudness contour, 60 phon @ 100 Hz78.5 dB SPL78.504 dB SPL±0.05 dB SPL0.004 dB SPL8.0 %
PassECMA-418-22025Clause 5.1.8HMS loudness of a 1 kHz / 40 dB tone (c_N=0.0211964)1 sone_HMS0.9843 sone_HMS±0.03 sone_HMS-0.0157 sone_HMS52 %
PassECMA-418-22025Clause 6.2.8HMS tonality of a 1 kHz / 40 dB tone (c_T=2.8758615)1 tu_HMS0.9998 tu_HMS±0.03 tu_HMS-0.0002 tu_HMS0.7 %
PassECMA-418-22025Clause 7HMS roughness of a 1 kHz / 70 Hz / m=1 / overall 60 dB tone (c_R=0.0180685)1 asper0.9999 asper±0.01 asper-0.0001 asper1.0 %
PassISO 532-22017Clause 3.17 / Annex B.1Moore-Glasberg loudness of a 1 kHz / 40 dB tone (C=0.0617)1 sone1.0001 sone±0.01 sone0.0001 sone1.0 %
PassISO 532-32023Annex C.1Moore-Glasberg-Schlittenlacher peak LTL, steady 1 kHz / 40 dB1 sone0.9996 sone±0.02 sone-0.0004 sone2.0 %
PassECMA-418-22025Clause 9HMS fluctuation strength of a 1 kHz / 4 Hz / m=1 / overall 60 dB tone (c_F=0.003840572)1 vacil_HMS0.9931 vacil_HMS±0.01 vacil_HMS-0.0069 vacil_HMS69 %
Speech transmission (IEC 60268-16)14/14
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 60268-162020A.2.2STI weighting-factor pair (500 Hz + 1 kHz bands)0.3980.398±0.00100.0 %
PassIEC 60268-162020A.3.1.2Uniform MTF m=0.5 maps to STI=0.50.50.5±0.0100.0 %
PassIEC 60268-16Annex MFull-STI worked example: printed MTF + speech/noise spectra -> STISTI 0.76 (MTI row of step 4c)STI 0.758 (max MTI dev 0.00)--0.002-
PassIEC 60268-16Annex MOccupancy-noise adjustment: measured MTF and four level spectra -> STISTI 0.76 (step 3 matrix, step 4 STI)STI 0.758 (max MTF dev 0.0009)--0.002-
PassIEC 60268-16Annex MStep 2 printed intermediates: the measurement condition, row by rowevery printed row of step 2 rounds as tabulatedworst row: amf in dB, 0.99 of its last printed place±10.99399 %
PassIEC 60268-16Annex MStep 3 printed intermediates: the operational condition, row by rowevery printed row of step 3 rounds as tabulatedworst row: amf in dB, 0.99 of its last printed place±10.98799 %
PassIEC 60268-16Annex MStep 4a printed intermediates: 98 effective signal-to-noise ratiosall 98 printed effective SNRsworst cell 0.074 dB from its printed value±0.08 dB0.074 dB93 %
PassIEC 60268-162020C.3.2STIPA direct method, Formula (C.1) signal at m=0.20.30.2992±0.01-0.00088.0 %
PassIEC 60268-162020C.3.2STIPA direct method, Formula (C.1) signal at m=0.50.50.4998±0.01-0.00022.0 %
PassIEC 60268-162020C.3.2STIPA direct method, Formula (C.1) signal at m=0.80.70.7002±0.010.00022.0 %
PassIEC 60268-162020C.3.3Indirect method: exponential decay RT60=1 s vs Schroeder MTF0.58850.5885±0.005-0.000009920.2 %
PassIEC 60268-162020C.4.2Filter-bank slope: +41 dB unmodulated tone one octave below 125 Hzm >= 0.5 (C.4.2 pass criterion)0.8831[0.5, +∞]0.883-
PassIEC 60268-162020A.2.2 (audio path)Weighting factors: modulated 500 Hz + 1 kHz pair through stipa()0.3980.398±0.00500.0 %
PassIEC 60268-162020A.3.1.2 (audio path)Filter-bank phase: half-octave edge carriers at TI=0.90.90.8981±0.01-0.001919 %
System measurement (Golay / Kirkeby / Mueller-Massarani)5/5
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassHavelock2008Part I Ch. 6 (Xiang), Eq. (2)Golay pair: sum of periodic autocorrelations = 2L*delta (L = 4096)0 (algebraic identity, +/-1e-10)0±1.00e-1000.0 %
PassHavelock2008Part I Ch. 6 (Xiang), Eq. (4)Golay chain recovers a delay+gain system IR (noiseless, exact)0 (machine precision, +/-1e-13)0±1.00e-1300.0 %
PassKirkeby & Nelson1999Eq. (17)corroborated byMueller-Massarani2001Sec. 3.1In-band equalization residue equals eps/(|H|^2 + eps) bin by bin0 (closed form, +/-1e-12)0±1.00e-1200.0 %
PassKirkeby & Nelson1999(max of x/(x^2+eps) = 1/(2*sqrt(eps)))Out-of-band inverse-filter gain within the regularization cap<= -6.021 dB (analytic cap)-6.034 dB-headroom +0.013 dB-
PassMueller-Massarani2001Secs. 4.2-4.3 (group-delay synthesis)Shaped sweep's Welch spectrum follows the pink target, in-band0 dB in-band deviation (+/-0.5 dB)0.0652 dB±0.5 dB0.0652 dB13 %
Intensity & sound power49/49
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 610431993Clause 5Plane-wave intensity I = p^2 / (rho c)0.00238 W/m²0.00239 W/m²±1.5%0.00001 W/m²28 %
PassISO 37442010Eq. 18Monopole hemisphere recovers LW (r=4 m)95 dB95 dB±1.00e-9 dB0 dB0.0 %
PassISO 9614-21996Eq. 12Intensity scan recovers LW of an enclosed source90 dB90 dB±0.000001 dB0 dB0.0 %
PassIEC 610431993Table 2Minimum delta_pI0 per band, probe/processor/instrument, class 1/2132 tabulated minima reproducedmax absolute deviation 0.000 dB±0 dB0 dB0.0 %
PassIEC 610431993Table 2 Note 1Separation rule +10 lg(x/25) on all six columns of 25 mm minima (x = 50 mm)3.0103 dB3.0103 dB±1.00e-12 dB0 dB0.0 %
PassFahy, Sound Intensity2e6.8delta_pI0 = 20 dB is a phase mismatch of 0.26 deg (1 kHz, 25 mm)0.26 deg0.2624 deg±0.005 deg0.0024 deg48 %
PassISO 9614-11993Eqs (A.1)/(A.2)Temporal variability F1 is the coefficient of variation of M samples0.1851640.185164±1.00e-1200.0 %
PassISO 48711996clause 3.15 / Annex BDeclared L_WAd = L_WA + K_WA (Annex B, L_WA=88, K_WA=2)90 dB90 dB±0 dB0 dB0.0 %
PassISO 48711996clause 6.2Single-machine verification boundary L_1 <= L_WAdL_1=90 verified, L_1=91 rejected (L_WAd=90)90->True, 91->False-boundary L_1 = L_WAd-
PassISO 37412010Eq. 20Reverberation-room method inverts to a known LW0 dB error0 dB±0.000000001 dB0 dB0.0 %
PassISO 37442010Eq. 23 / clause 3.4 NOTE 1Sound energy level of a source steady over T = 10 s is LW + 10 lg(T/T0)LJ - LW = 10 dB, 0 dB error0 dB±0.000000001 dB0 dB0.0 %
PassISO 37442010Eq. 20One measurement encompassing Ne = 5 events is 10 lg 5 above one event6.9897 dB6.9897 dB±1.00e-12 dB0 dB0.0 %
PassISO 37412010Eq. 30Reverberation-room sound energy level inverts to a known LJ0 dB error0 dB±0.000000001 dB0 dB0.0 %
PassISO 37412010Eq. F.4Three equal one-third-octave bands sum to an octave level 10 lg 3 higher4.771213 dB4.771213 dB±1.00e-12 dB0 dB0.0 %
PassISO 37442010Annex G / H.4.2.7C1 + C2 of Eq. (G.1)/(G.3) vanish at 120 m altitude and 23 C0 dB-0.00005 dB±0.001 dB-0.00005 dB5.0 %
PassISO 9614-11993Table B.2Criterion-2 factor C per band and grade, and the A-weighted grade-3 value59 tabulated values of C reproducedmax absolute deviation 0.000±000.0 %
PassISO 9614-11993Table 2Standard deviation s of the determination per band and grade59 tabulated values of s reproducedmax absolute deviation 0.000 dB±0 dB0 dB0.0 %
PassISO 9614-11993Table B.1Error factor Delta: 0,20 and 0,29 for all bands, 0,60 A-weightedprecision (all bands) = 0.2; engineering (all bands) = 0.29; survey (A-weighted) = 0.6precision (all bands) = 0.2; engineering (all bands) = 0.29; survey (A-weighted) = 0.6±000.0 %
PassISO 9614-11993Eq. (12)Discrete positions tiling a scanned surface give the same LW0 dB error0 dB±0.000000000001 dB0 dB0.0 %
PassISO 9614-11993Table B.3Five action codes, each reached by the case Figure B.1 routes to itF1 > 0,6 -> e; F2 > Ld -> ab; (F3 - F2) > 3 dB -> ab; criterion 2, 1 dB <= (F3 - F2) <= 3 dB -> c; criterion 2, (F3 - F2) <= 1 dB -> dF1 > 0,6 -> e; F2 > Ld -> ab; (F3 - F2) > 3 dB -> ab; criterion 2, 1 dB <= (F3 - F2) <= 3 dB -> c; criterion 2, (F3 - F2) <= 1 dB -> d-0 of 5 rows disagree-
PassISO 9614-11993Eq. (B.4)New positions N* on the concentrated subset of the measurement surfaceN* = 5 positionsN* = 5 positions±000.0 %
PassISO 374720109.5 EXAMPLEExpanded uncertainty U = 2 sqrt(1,5^2 + 2^2) dB, grade 2 with sigma_omc = 2,0 dB5 dB5 dB±1.00e-12 dB0 dB0.0 %
PassISO 37472010Table 2 / Eq. 22sigma_R0 by grade: 1,5 dB (grade 2) and 4,0 dB (grade 3), sigma_tot of Table E.1 row 2sigma_R0 grade 2 = 1.5 dB; sigma_R0 grade 3 = 4 dB; sigma_tot (1,5; 4) = 4.3 dBsigma_R0 grade 2 = 1.5 dB; sigma_R0 grade 3 = 4 dB; sigma_tot (1,5; 4) = 4.3 dB±0 dB0 dB0.0 %
PassISO 37472010Eq. 7 / 8.1K1 at the 6 dB validity margin, -10 lg(1 - 10^-0,6) = 1,2563 dB, and the 1,3 dB cap below itK1(6 dB) = 1,2563 dB, K1(2 dB) = 1,3 dB, 4 kHz flagged0 dB±0.000000001 dB0 dB0.0 %
PassISO 37472010Eq. 11compared withISO 37412010Eq. 21In situ comparison plus C2 equals the reverberation-room comparison (closed form)0 dB difference0 dB±0.000000001 dB0 dB0.0 %
PassISO 37472010Eq. 12 / Eq. 20m identical reference-source locations collapse to Eq. 11 / Eq. 19 (closed form)0 dB difference0 dB±0.000000001 dB0 dB0.0 %
PassISO 37472010Eq. 15 / Eq. 17N events one at a time and one measurement over N events agree (closed form)0 dB difference0 dB±0.000000001 dB0 dB0.0 %
PassISO 37472010Annex CC2 at 101,325 kPa and 23,0 degC is 15 lg(296,15/296) = 0,003 300 dB (theta_ref = 296 K)0.0033 dB0.0033 dB±1.00e-9 dB0 dB0.0 %
PassISO 37472010Eq. C.2Static pressure at 500 m, 101,325 (1 - 2,2560e-5 x 500)^5,2553 kPa95.4609 kPa95.4609 kPa±1.00e-9 kPa0 kPa0.0 %
PassISO 37472010Table D.1 / Eq. D.1LWA of a flat 90 dB octave spectrum, 63 Hz to 8 kHz, with the printed Ck96.9871 dB96.9871 dB±1.00e-9 dB0 dB0.0 %
PassISO 37472010Eq. A.1Excess over the spherical free field Lp = LW - 11 - 20 lg(r/r0): a level 7 dB above it reads dLf = 7 dB7 dB7 dB±1.00e-12 dB0 dB0.0 %
PassISO 92952015Table 1also namesUNE-EN ISO 92952015PDF page 15, printed folio 15Air absorption alpha in Np/m, 18 degC to 22 degC, 40 % to 60 %, 10 000 Hz to 22 400 Hz: Annex A at theta + 273,16 K, to the four decimals printed, in the 303 cells the table prints correctly303/303 cells of Table 1303/303 cells of Table 1±000.0 %
PassISO 92952015Table 2also namesUNE-EN ISO 92952015PDF page 16, printed folio 16Air absorption alpha in Np/m, 23 degC to 27 degC, 40 % to 60 %, 10 000 Hz to 22 400 Hz: Annex A at theta + 273,16 K, to the four decimals printed, in the 278 cells the table prints correctly278/278 cells of Table 2278/278 cells of Table 2±000.0 %
PassISO 92952015Table 1also namesUNE-EN ISO 92952015PDF page 15, printed folio 15The 9 cells Table 1 misprints (docs/ERRATA.md), as printed: each is Annex A at theta + 273,16 K with its first trailing 0 set as the digit before it13 500 Hz, 20 degC, 60 %: 0,027 7; 13 500 Hz, 21 degC, 40 %: 0,036 6; 13 500 Hz, 21 degC, 60 %: 0,026 6; 13 500 Hz, 22 degC, 40 %: 0,035 5; 15 500 Hz, 22 degC, 40 %: 0,044 4; 16 500 Hz, 21 degC, 50 %: 0,043 3; 18 000 Hz, 20 degC, 60 %: 0,045 5; 19 000 Hz, 21 degC, 60 %: 0,048 8; 20 000 Hz, 22 degC, 60 %: 0,051 19/9 printed cells that are Annex A with a 0 set as the digit before it±000.0 %
PassISO 92952015Table 2also namesUNE-EN ISO 92952015PDF page 16, printed folio 16The 34 cells Table 2 misprints (docs/ERRATA.md), as printed: each is Annex A at theta + 273,16 K with its first trailing 0 set as the digit before it10 000 Hz, 27 degC, 50 %: 0,014 4; 11 000 Hz, 25 degC, 50 %: 0,018 8; 11 500 Hz, 23 degC, 50 %: 0,021 1; 13 000 Hz, 25 degC, 60 %: 0,021 1; 13 500 Hz, 27 degC, 60 %: 0,021 1; 14 000 Hz, 24 degC, 40 %: 0,035 5; 14 000 Hz, 24 degC, 60 %: 0,025 5; 14 500 Hz, 24 degC, 50 %: 0,031 1; 14 500 Hz, 25 degC, 40 %: 0,036 6; 14 500 Hz, 25 degC, 50 %: 0,033 0; 14 500 Hz, 27 degC, 50 %: 0,028 8; 14 500 Hz, 27 degC, 60 %: 0,024 4; 15 000 Hz, 24 degC, 50 %: 0,033 3; 15 500 Hz, 24 degC, 50 %: 0,035 5; 15 500 Hz, 27 degC, 40 %: 0,038 8; 16 000 Hz, 24 degC, 40 %: 0,044 4; 16 000 Hz, 24 degC, 60 %: 0,032 2; 16 500 Hz, 23 degC, 60 %: 0,035 5; 17 000 Hz, 25 degC, 50 %: 0,04 4; 18 000 Hz, 23 degC, 60 %: 0,041 1; 18 000 Hz, 27 degC, 60 %: 0,036 6; 18 500 Hz, 24 degC, 40 %: 0,056 6; 18 500 Hz, 24 degC, 50 %: 0,048 8; 19 500 Hz, 23 degC, 50 %: 0,054 4; 20 000 Hz, 24 degC, 60 %: 0,048 8; 20 500 Hz, 23 degC, 40 %: 0,067 7; 20 500 Hz, 24 degC, 40 %: 0,066 6; 21 000 Hz, 23 degC, 60 %: 0,054 4; 21 500 Hz, 23 degC, 40 %: 0,072 2; 21 500 Hz, 24 degC, 40 %: 0,071 1; 21 500 Hz, 27 degC, 60 %: 0,05 50; 22 000 Hz, 24 degC, 60 %: 0,057 7; 22 000 Hz, 25 degC, 50 %: 0,063 3; 22 400 Hz, 25 degC, 50 %: 0,065 534/34 printed cells that are Annex A with a 0 set as the digit before it±000.0 %
PassISO 92952015Annex A / Tables 1 and 2The published Annex A at theta + 273,15 K against the 581 correctly printed cells: within one unit of the fourth decimal0 Np/m0.000063 Np/m±0.0001 Np/m0.000063 Np/m63 %
PassISO 92952015Formulae (4) and (5)Room absorption coefficient and room constant from the reverberation time, V = 200 m3, S = 210 m2, T = 0,70 s: alpha_room = 1 - exp(-0,16 V/(S T)), R = S alpha_room / (1 - alpha_room) (closed form)alpha_room = 0.1956; R (m2) = 51.0716alpha_room = 0.1956; R (m2) = 51.0716±000.0 %
PassISO 92952015Formula (7)Room constant from the air absorption, 8 alpha V / (1 - 8 alpha V / S), at 16 kHz, 23 degC, 50 %, V = 200 m3, S = 210 m2 (closed form)86.5581 m²86.5581 m²±1.00e-9 m²0 m²0.0 %
PassISO 92952015Formula (6) / 10.1LW = Lp(ST) - 10 lg(4/R) + C1 + C2: R = 40 m2 raises Lp = 60 dB by 10 dB, plus the C1 and C2 of ISO 3741 at 23 degC and 101,325 kPa and at 30 degC and 90 kPa23 degC, 101,325 kPa = 69.8762 dB; 30 degC, 90 kPa = 71.1086 dB23 degC, 101,325 kPa = 69.8762 dB; 30 degC, 90 kPa = 71.1086 dB±0 dB0 dB0.0 %
PassISO 92952015Formulae (8) and (9)Reference source: LW(FAR) - Lp(FAR) + Lp(ST), and 10 lg(Delta F / 1 Hz) more for a tone read with a 10 Hz noise bandwidthFormula (8) = 60.0033 dB; Formula (9) = 70.0033 dBFormula (8) = 60.0033 dB; Formula (9) = 70.0033 dB±0 dB0 dB0.0 %
PassISO 92952015Formulae (2) and (3)Moving microphone: Delta f = 2 f v / c at 16 kHz, 0,4 m/s, 345 m/s, and three equal sidebands summing to 10 lg 3 above oneDelta f (Hz) = 37.1014; Ltot (dB) = 54.7712Delta f (Hz) = 37.1014; Ltot (dB) = 54.7712±000.0 %
PassISO 92952015Formula (10)Free-field absorption correction K_alpha = r alpha at r = 4 m, alpha in dB/m (8,686 times Annex A), and none at r = 2 m0 dB difference0 dB±1.00e-12 dB0 dB0.0 %
PassISO 92952015Table 3also namesUNE-EN ISO 92952015PDF page 24, printed folio 24The sound power levels to determine for each type of noise: the six rows, from the A-weighted level alone to the tones within 10 dB of the highest6/6 rows of Table 36/6 rows of Table 3±000.0 %
PassISO 51362003Table D.1C3,4 of the sampling tube for d = 0,5 m at U = +/-5, +/-15, +/-30 m/s, 27 bands162 tabulated values reproduced to the printed 0,1 dBmax absolute deviation 0.049 dB±0.05 dB0.049 dB98 %
PassISO 51362003Eqs (D.2)/(D.3)Worked example: C3,4 = (1,85 + 0,038 U) dB at 1 kHz, U = +15 and -15 m/s2,42 dB at +15 m/s and 1,28 dB at -15 m/s reproducedmax absolute deviation below 1e-12 dB±0.000000001 dB0 dB0.0 %
PassISO 51362003Eq. (8)Nose-cone / foam-ball correction 10 lg[1/(1 - U/c)^2] at U = 20 m/s, c = 340 m/s0.52658 dB0.52658 dB±1.00e-9 dB0 dB0.0 %
PassISO 51362003Eq. (12)Plane-wave relation LW - Lp = 10 lg(S/S0) - 10 lg(rho c/400), d = 0,5 m-7.2113 dB-7.2113 dB±0.00000100 dB0 dB0.0 %
PassISO 51362003Table 2 / Table 3Reproducibility sigma_R per band, 50 Hz to 10 kHz, and the extrapolated 12,5 to 20 kHz27 tabulated values of sigma_R reproducedmax absolute deviation 0.000 dB±0 dB0 dB0.0 %
PassISO 51362003Annex C Table C.1A-weighting C_j of the 27 bands, read back as LWA - LW of one band at a time27 tabulated values of C_j reproducedmax absolute deviation below 1e-12 dB±0.000000001 dB0 dB0.0 %
Emission sound pressure level (ISO 11200 group)6/6
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 112002014Table B.2 local environmental correctionK_3A at a work station 1,6 m from the dominating source, dB3.7 dB3.749 dB±0.05 dB0.049 dB98 %
PassISO 112002014Table B.2 emission sound pressure levelL_pA at the work station, the energy mean less K_3A, dB73.2 dB73.176 dB±0.05 dB-0.024 dB48 %
PassISO 112002014Table B.2 expanded uncertaintyU from sigma_R0 = 1,5 dB and sigma_omc = 1,0 dB at k = 1,6, dB2.9 dB2.884 dB±0.05 dB-0.016 dB32 %
PassISO 112002014Table B.3 background-noise correctionK_1A for a 9 dB margin over the background, dB0.6 dB0.584 dB±0.05 dB-0.016 dB32 %
PassISO 112002014Table B.3 operating standard deviationsigma_omc of three readings by Equation (C.1), dB2 dB1.997 dB±0.05 dB-0.003 dB6.0 %
PassISO 112042010A.1.2 the two routes to the ratio zz from K_2 against z from the absorption area, dimensionless0.4234234230.423423423±1.00e-1200.0 %
Building prediction & uncertainty15/15
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassEN 12354-12000Annex H.3Airborne prediction R'w (direct + 12 flanking paths)R'w 52 dB (13 paths)R'w 52 dB (13 paths, 52.17)-+0.17 dB-
PassEN 12354-12000Annex H.3 (paths)All 12 printed flanking-path values Rij,wmax abs(Rij,w - printed) <= 0,05 dB0.042 dB±0.05 dB0.042 dB84 %
PassEN 12354-12000Formula (5b) / Annex H.3DnT,w closure from R'w (both H.3 examples -> 54 dB)DnT,w 54 dB (printed 53,8/54,3)DnT,w 53.63 / 54.13 dB--0.17 dB vs printed-
PassEN 12354-22000Annex E.3Impact prediction L'n,w = Ln,w,eq - dLw + K45 dB (+/-0 dB)45 dB-0 dB-
PassEN 12354-22000Formula (3) / Annex E.3Standardized impact level L'nT,w (exact 0,032 V form -> 43 dB)L'nT,w 43 dB (exact 42,96; E.3 prints 42,8)L'nT,w 42.96 dB--0.001 dB-
PassEN 12354-32000Annex FFacade airborne prediction (R'tr,s,w / D2m,nT,w single numbers)R'tr,s,w 31 (Ctr -3); D2m,nT,w 33 dBR'tr,s,w 31 (Ctr -3); D2m,nT,w 33 dB-0-
PassEN 12354-42000Annex G / Formula (2)Radiated LW of a wall+door segment (side 1, low bands)LW 63/125 Hz [59.8, 61.2] dB (+/-0.1)LW [59.8, 61.2] dB-0.038 dB-
PassEN 12354-42000Annex E / Table G.9Exterior level of all four Table G.9 reception cellsLp 36,6 / 28,5 / 44,6 / 37,3 dB (+/-0,05)Lp 36.6 / 28.5 / 44.6 / 37.3 dB-0.046 dB-
PassISO 12999-12020Table 2Airborne band uncertainty, situation A @ 1 kHz1.8 dB1.8 dB±1.00e-9 dB0 dB0.0 %
PassISO 12999-12020Annex B, Table B.2One-decimal single numbers Rw / Rw+C50-5000 / Rw+Ctr,50-500057.4 / 56.4 / 51.1 dB57.4 / 56.4 / 51.1 dB-+0.00 dB-
PassISO 12999-12020Annex B, Formulae (B.2)/(B.6)Single-number uncertainties (uncorrelated 0,6/0,8; correlated u(Rw) 1,9)u_uncorr 0.6 / 0.8 dB; u_corr(Rw) 1.9 dB0.60 / 0.79 dB; 1.90 dB--0.00 dB-
PassISO 12999-12020Clause 8 / Table 8Expanded uncertainty U = 1.96 u (95 % two-sided, Rw sit. A)2.352 dB2.352 dB±1.00e-9 dB0 dB0.0 %
PassISO 12999-22020Table 4 / Formula (1)Absorption coefficient +/-U (k=2), reproducibility, 20 x 1/3-oct bandsU(k=2) = [0.33, 0.26, 0.22, 0.17, 0.13, 0.11, 0.09, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.09, 0.09, 0.09, 0.1, 0.11, 0.13, 0.16]U(k=2) = [0.33, 0.26, 0.22, 0.17, 0.13, 0.11, 0.09, 0.08, 0.08, 0.08, 0.08, 0.08, 0.08, 0.09, 0.09, 0.09, 0.1, 0.11, 0.13, 0.16]-exact-
PassISO 12999-22020Table 5 / Formula (4)Practical coefficient +/-U (k=2), reproducibility, 5 octave bandsU(k=2) = [0.09, 0.08, 0.08, 0.08, 0.1]U(k=2) = [0.09, 0.08, 0.08, 0.08, 0.1]-exact-
PassISO 12999-22020Clause 7, Examples 1/2Single-number U (k=2): alpha_w and DLalpha,NRDalpha_w +/-0.07, DLalpha +/-1.6 dBalpha_w +/-0.07, DLalpha +/-1.6 dB-exact-
Outdoor propagation & occupational exposure10/10
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 9613-11993Table 1Air attenuation @ 10 degC, 70 %, 1 kHz3.66 dB/km3.658 dB/km±0.01 dB/km-0.002 dB/km20 %
PassISO 9613-11993Table 1Air attenuation @ 0 degC, 20 %, 2 kHz34.6 dB/km34.64 dB/km±0.1 dB/km0.04 dB/km40 %
PassISO 9613-21996Table 2Atmospheric attenuation grid, 6 conditions x 8 octave bands, dB/kmall 48 cells within half a printed digitworst residual 0.939 x tolerance-0.939 x-
PassISO 9613-21996Eq. (7)Geometrical divergence Adiv = 20 lg(d/d0) + 11 at 100 m51 dB51 dB±1.00e-9 dB0 dB0.0 %
PassISO 9613-21996Table 3Ground b'(0) porous limit -> Agr(250 Hz) = 2(-1.5 + 10.1)17.2 dB17.2 dB±0.00000100 dB0 dB0.0 %
PassISO 9613-21996clause 7.4Single-edge diffraction saturates at the 20 dB cap20 dB20 dB±1.00e-9 dB0 dB0.0 %
PassISO 9613-21996clause 7.4Double-edge diffraction saturates at the 25 dB cap25 dB25 dB±1.00e-9 dB0 dB0.0 %
PassISO 96122009Annex DTask-based LEX,8h + U (welder day, case a)LEX,8h 84.3; U 2.7 dBLEX,8h 84.3; U 2.7 dB--0.01; +0.02 dB-
PassISO 96122009Annex EJob-based LEX,8h + U (production line, 18 workers)LEX,8h 88.1; U 3.8 dBLEX,8h 88.2; U 3.8 dB-+0.06; -0.03 dB-
PassISO 96122009Annex FFull-day LEX,8h + U (forklift drivers)LEX,8h 90.1; U 3.4 dBLEX,8h 90.1; U 3.4 dB-+0.02; +0.03 dB-
Materials: absorption, airflow & impedance6/6
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 116541997Annex A.1Weighted absorption alpha_w (no indicator)0.60 (class C, no indic.)0.60 (class C, '')-0-
PassISO 116541997Annex A.2Weighted absorption alpha_w with M indicator0.60(M)0.60(M)-0-
PassISO 9053-22020Annex A.3Thermal boundary-layer thickness b0.00183 m0.00183 m±0.00001 m0.00000485 m97 %
PassISO 9053-22020Annex A.3Effective ratio of specific heats kappa'1.371.37±0.0010.00025952 %
PassISO 10534-11996Eqs (9)/(13)/(14)Absorption from standing-wave ratio s=3alpha 0.75 (+/-0), |r| 0.5alpha 0.75, |r| 0.5000-0-
PassISO 10534-2Eq. (17) / Annex DTwo-microphone round trip recovers a known reflection factorabs(r - (0.3-0.4j)) = 0 (identity, +/-1e-9)0±0.00000000100.0 %
Scattering & diffusion (ISO 17497)14/14
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 17497-12004Eq (2)Reference speed of sound at 20 C343.2 m/s343.2 m/s±0.00000100 m/s0 m/s0.0 %
PassISO 17497-12004Eqs (1)/(4)/(5)Scattering coefficient (synthetic chain)0.09310.0931±1.00e-900.0 %
PassISO 17497-12004Annex A.5Expanded uncertainty of scattering coefficient0.029710.02971±0.0000010000.0 %
PassISO 17497-22012Formula (5)Directional diffusion coefficient (QRD, model arc)0.10990.1099±0.0000010000.0 %
PassISO 17497-22012Formula (5)Directional diffusion coefficient (flat reference)0.00490.0049±0.0000010000.0 %
PassISO 17497-22012Formula (7)Normalised diffusion coefficient (QRD, model arc)0.10550.1055±0.0000010000.0 %
PassCox & D'Antonio3eApp. B (2D BEM)Normalised diffusion d_n, N=7 QRD x 6 periods, 200 Hz band (low-band anchor)00.000380±0.0150.0003802.5 %
PassCox & D'Antonio3eApp. B (2D BEM)Normalised diffusion d_n, N=7 QRD x 6 periods, 250 Hz band (low-band anchor)0.010.001±0.015-0.00960 %
PassCox & D'Antonio3eApp. B (2D BEM)Normalised diffusion d_n, N=7 QRD x 6 periods, 315 Hz band (low-band anchor)0.010.002±0.015-0.00853 %
PassCox & D'Antonio3eApp. B (2D BEM)Normalised diffusion d_n, N=7 QRD x 6 periods, 400 Hz band (low-band anchor)0.010.008±0.015-0.00213 %
PassISO 17497-22012Formula (8)Zenith area factor (radians convention)1.571051.57105±0.0000010000.0 %
PassCox & D'AntonioEq (10.3)QRD deepest well depth (N=7, f0=500 Hz)0.196 m0.196 m±1.00e-12 m0 m0.0 %
PassCox & D'AntonioEq (5.8)corroborated byISO 17497-2Formula (7)Flat-panel predicted normalised diffusion (self-reference zero)00±1.00e-1200.0 %
PassCox & D'AntonioEq (5.8)corroborated byISO 17497-2Formula (7)QRD predicted normalised diffusion at 2 kHz (above flat panel)0.2080.208±1.00e-900.0 %
In-situ road absorption (ISO 13472)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 13472-12002Clause 4.2Geometrical-spreading factor Kr0.66670.6667±1.00e-1200.0 %
PassISO 13472-12002Annex AMaximum-sampled-area radius1.3425 m1.3425 m±0.00000100 m0 m0.0 %
PassISO 13472-22010Clause 5.4.1Spot-tube upper usable frequency f_u1989.4 Hz1989.4 Hz±0.1 Hz0 Hz0.0 %
Precision sound power (ISO 3745 / 9614-3)4/4
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 37452012Clause 10.5 EXAMPLEExpanded uncertainty U (k=2)4.123 dB4.123 dB±0.001 dB0 dB0.0 %
PassISO 37452012Eq (11)K1 background floor (6 dB edge band)1.2563 dB1.2563 dB±0.0001 dB-0.00000423 dB4.2 %
PassISO 37452012Eq (16)Meteorological C1 at 23 C reference-0.1282 dB-0.1282 dB±0.0001 dB3.15e-7 dB0.3 %
PassISO 9614-32002Eqs (5)/(8)/(9)Uniform-intensity LW recovery80 dB80 dB±1.00e-9 dB0 dB0.0 %
Outdoor propagation quality assurance (ISO/TR 17534-3)34/34
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO/TR 17534-32015T01Receiver band levels over ground G = 0, dB0 dB0.008 dB±0.05 dB0.008 dB16 %
PassISO/TR 17534-32015T01Receiver total level over ground G = 0, dB47.46 dB47.457 dB±0.05 dB-0.003 dB6.0 %
PassISO/TR 17534-32015T01Receiver A-weighted level over ground G = 0, dB44.29 dB44.293 dB±0.05 dB0.003 dB6.0 %
PassISO/TR 17534-32015T02Receiver band levels over ground G = 0.5, dB0 dB0.01 dB±0.05 dB0.01 dB20 %
PassISO/TR 17534-32015T02Receiver total level over ground G = 0.5, dB44.61 dB44.608 dB±0.05 dB-0.002 dB4.0 %
PassISO/TR 17534-32015T02Receiver A-weighted level over ground G = 0.5, dB41.53 dB41.526 dB±0.05 dB-0.004 dB8.0 %
PassISO/TR 17534-32015T03Receiver band levels over ground G = 1, dB0 dB0.008 dB±0.05 dB0.008 dB16 %
PassISO/TR 17534-32015T03Receiver total level over ground G = 1, dB42.8 dB42.8 dB±0.05 dB0.000337 dB0.7 %
PassISO/TR 17534-32015T03Receiver A-weighted level over ground G = 1, dB39.14 dB39.139 dB±0.05 dB-0.001 dB2.0 %
PassISO/TR 17534-32015Table 3Ground-projected path length dp, m194.16 m194.165 m±0.005 m0.005 m100 %
PassISO/TR 17534-32015Table 3Straight-line path length d3, m194.19 m194.188 m±0.005 m-0.002 m40 %
PassISO/TR 17534-32015Table 3Geometrical divergence Adiv, dB56.76 dB56.764 dB±0.05 dB0.004 dB8.0 %
PassISO/TR 17534-32015Table 3Middle-region overlap factor q (ISO 9613-2 Table 3, note 2)0.230.2275±0.005-0.002550 %
PassISO/TR 17534-32015T04Receiver band levels, flat ground of three kinds, general method, dB0 dB0.0124 dB±0.05 dB0.0124 dB25 %
PassISO/TR 17534-32015T04Receiver total level, flat ground of three kinds, general method, dB45.25 dB45.248 dB±0.05 dB-0.002 dB4.0 %
PassISO/TR 17534-32015T04Receiver A-weighted level, flat ground of three kinds, general method, dB42.23 dB42.227 dB±0.05 dB-0.003 dB6.0 %
PassISO/TR 17534-32015T06Receiver band levels, ground rising under the receiver, general method, dB0 dB0.0111 dB±0.05 dB0.0111 dB22 %
PassISO/TR 17534-32015T06Receiver total level, ground rising under the receiver, general method, dB43.85 dB43.85 dB±0.05 dB0.000251 dB0.5 %
PassISO/TR 17534-32015T06Receiver A-weighted level, ground rising under the receiver, general method, dB40.59 dB40.589 dB±0.05 dB-0.001 dB2.0 %
PassISO/TR 17534-32015T05Receiver band levels, flat ground of three kinds, alternative method, dB0 dB0.0075 dB±0.05 dB0.0075 dB15 %
PassISO/TR 17534-32015T05Receiver total level, flat ground of three kinds, alternative method, dB42.46 dB42.461 dB±0.05 dB0.001 dB2.0 %
PassISO/TR 17534-32015T05Receiver A-weighted level, flat ground of three kinds, alternative method, dB39.3 dB39.298 dB±0.05 dB-0.002 dB4.0 %
PassISO/TR 17534-32015T07Receiver band levels, ground rising under the receiver, alternative method, dB0 dB0.0088 dB±0.05 dB0.0088 dB18 %
PassISO/TR 17534-32015T07Receiver total level, ground rising under the receiver, alternative method, dB42.91 dB42.914 dB±0.05 dB0.004 dB8.0 %
PassISO/TR 17534-32015T07Receiver A-weighted level, ground rising under the receiver, alternative method, dB39.75 dB39.749 dB±0.05 dB-0.001 dB2.0 %
PassISO/TR 17534-32015Table 8 (T04)Region ground factor Gs (source region) over three areas0.20.2±0.00500.0 %
PassISO/TR 17534-32015Table 8 (T04)Region ground factor Gm (middle region) over three areas0.430.4261±0.005-0.003978 %
PassISO/TR 17534-32015Table 8 (T04)Region ground factor Gr (receiver region) over three areas0.670.6703±0.0050.00036.0 %
PassISO/TR 17534-32015Table 14 (T06)Region ground factor Gs (source region) over three areas0.90.9±0.00500.0 %
PassISO/TR 17534-32015Table 14 (T06)Region ground factor Gm (middle region) over three areas0.60.5985±0.005-0.001530 %
PassISO/TR 17534-32015Table 14 (T06)Region ground factor Gr (receiver region) over three areas0.370.3723±0.0050.002346 %
PassISO/TR 17534-32015Table 14 (T06)Straight-line path length d3, m194.6 m194.6 m±0.005 m-0.000411 m8.2 %
PassISO/TR 17534-32015Table 17 (T05)Mean path height hm over flat ground, m2.5 m2.4997 m±0.005 m-0.0003 m6.0 %
PassISO/TR 17534-32015Table 17 (T07)Mean path height hm over a slope, m4.99 m4.9888 m±0.005 m-0.0012 m24 %
Human vibration (ISO 8041 / 2631 / 5349)30/30
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 8041-12017Table B.8Wk design-goal factor at 6,31 Hz1.0541.0544±0.1%0.000438 %
PassISO 8041-12017Table B.9Wm design-goal factor at 1,585 Hz0.93420.9342±0.1%0.00003403.6 %
PassISO 8041-12017Table 1Wh factor at the 500 rad/s reference0.2020.202±0.15%0.00001936.4 %
PassISO 8041-12017Table B.1Wb design-goal factor at 6,31 Hz1.0541.0545±0.1%0.000547 %
PassISO 8041-12017Table B.1Wb design-goal factors at 1 / 100 Hzmax rel dev ≤ 0,1 %0.000267±0.0010.00026727 %
PassISO 8041-12017Table 1Wc factor at the 100 rad/s reference0.51450.5145±0.1%-0.00004809.3 %
PassISO 8041-12017Table 1 + Table B.3Wd factors at the 100 rad/s reference and 1 Hzmax rel dev ≤ 0,1 %0.000162±0.0010.00016216 %
PassISO 8041-12017Table B.4We design-goal factor at 8 Hz0.12630.1263±0.1%0.000048438 %
PassISO 8041-12017Table B.5Wf design-goal factors at 0,1585 / 0,1 Hzmax rel dev ≤ 0,1 %0.000098±0.0010.0000989.8 %
PassISO 8041-12017Table B.7Wj design-goal factors at 6,31 / 8 Hzmax rel dev ≤ 0,1 %0.00001±0.0010.000011.0 %
PassISO 8041-12017Table 5 + Annex BAll nine weightings inside the tolerance envelope (318 printed bands)0 bands outside the Table 5 tolerances0±000.0 %
PassISO 5349-22001Example E.2.1Single-tool daily exposure A(8)4.1 m/s²4.14 m/s²±0.05 m/s²0.037 m/s²74 %
PassISO 5349-22001Example E.3Forestry three-task A(8)3.6 m/s²3.61 m/s²±0.05 m/s²0.01 m/s²20 %
PassISO 5349-12001Eq. (C.1)VWF 10 % lifetime Dy at A(8)=74 yr4.04 yr±0.1 yr0.042 yr42 %
PassDirective 2002/44/ECArt. 3HAV/WBV action & limit valuesHAV 2.5/5.0, WBV 0.5/1.15 m/s^2HAV 2.5/5.0, WBV 0.5/1.15 m/s^2-0-
PassISO 8041-120175.6.6 + Annex BAll nine band-limiting responses inside the Table 5 envelope (318 bands)0 bands outside the Table 5 tolerances0±000.0 %
PassISO 8041-12017Annex BWk band-limiting factor at 0,631 Hz0.92790.9279±0.1%-0.00003313.6 %
PassISO 8041-12017Annex BWf band-limiting factor at 0,3981 Hz0.92790.9279±0.1%0.00003874.2 %
PassISO 8041-12017Annex BWh band-limiting factor at 10 Hz0.92910.9291±0.1%-0.00001811.9 %
PassISO 8041-12017Annex BWm band-limiting factor at 1,259 Hz0.92910.9291±0.1%-0.00001811.9 %
PassISO 8041-12017Table B.5Wf design-goal factor at 0,3981 Hz, the cell Table 2 row 2 turns on0.38840.3884±0.1%-0.00002877.4 %
PassISO 8041-12017Table 10Running r.m.s. decay to 10 %, linear averaging, tau = 0.125 s0.124 s0.122 s±0.005 s-0.002 s40 %
PassISO 8041-12017Table 10Running r.m.s. decay to 10 %, linear averaging, tau = 1 s0.99 s0.983 s±0.05 s-0.007 s14 %
PassISO 8041-12017Table 10Running r.m.s. decay to 10 %, linear averaging, tau = 8 s7.92 s7.915 s±0.2 s-0.005 s2.5 %
PassISO 8041-12017Table 11Running r.m.s. decay to 10 %, exponential averaging, tau = 0.125 s0.58 s0.576 s±0.03 s-0.004 s13 %
PassISO 8041-12017Table 11Running r.m.s. decay to 10 %, exponential averaging, tau = 1 s4.61 s4.605 s±0.25 s-0.005 s2.0 %
PassISO 8041-12017Table 11Running r.m.s. decay to 10 %, exponential averaging, tau = 8 s36.8 s36.841 s±2 s0.041 s2.1 %
PassISO 8041-12017Table 11Equivalent decay rate, exponential averaging, tau = 0.125 s31 to 40 dB/s34.73 dB/s±4.5 dB/s-0.766 dB/s17 %
PassISO 8041-12017Table 11Equivalent decay rate, exponential averaging, tau = 1 s3.8 to 4.9 dB/s4.34 dB/s±0.55 dB/s-0.007 dB/s1.3 %
PassISO 8041-12017Table 11Equivalent decay rate, exponential averaging, tau = 8 s0.48 to 0.62 dB/s0.54 dB/s±0.07 dB/s-0.007 dB/s10.0 %
Human-vibration meter verification (ISO 8041-1)44/44
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 8041-12017Table 4Wk transition frequency ft1, Hz0.2512 Hz0.25119 Hz±0.02%-0.00001 Hz20 %
PassISO 8041-12017Table 4Wk transition frequency ft2, Hz0.631 Hz0.63096 Hz±0.02%-0.00004 Hz32 %
PassISO 8041-12017Table 4Wk transition frequency ft3, Hz63.1 Hz63.09573 Hz±0.02%-0.00427 Hz34 %
PassISO 8041-12017Table 4Wk transition frequency ft4, Hz158.5 Hz158.48932 Hz±0.02%-0.01068 Hz34 %
PassISO 8041-12017Table 4Wf transition frequency ft1, Hz0.05012 Hz0.05012 Hz±0.02%-0.00000128 Hz13 %
PassISO 8041-12017Table 4Wf transition frequency ft2, Hz0.1259 Hz0.12589 Hz±0.02%-0.00001 Hz40 %
PassISO 8041-12017Table 4Wf transition frequency ft3, Hz0.3981 Hz0.39811 Hz±0.02%0.00001 Hz13 %
PassISO 8041-12017Table 4Wf transition frequency ft4, Hz1 Hz1 Hz±0.02%0 Hz0.0 %
PassISO 8041-12017Table 4Wh transition frequency ft1, Hz3.981 Hz3.98107 Hz±0.02%0.00007 Hz8.8 %
PassISO 8041-12017Table 4Wh transition frequency ft2, Hz10 Hz10 Hz±0.02%0 Hz0.0 %
PassISO 8041-12017Table 4Wh transition frequency ft3, Hz794.3 Hz794.32823 Hz±0.02%0.02823 Hz18 %
PassISO 8041-12017Table 4Wh transition frequency ft4, Hz1995 Hz1995.26231 Hz±0.02%0.26231 Hz66 %
PassISO 8041-12017Table 1Wb reference frequency, Hz15.915 Hz15.9155 Hz±0.01%0.0005 Hz31 %
PassISO 8041-12017Table 1Wb weighted indication at the reference, m/s20.8126 m/s²0.81256 m/s²±0.1%-0.00004 m/s²4.9 %
PassISO 8041-12017Table 1Wd reference frequency, Hz15.915 Hz15.9155 Hz±0.01%0.0005 Hz31 %
PassISO 8041-12017Table 1Wd weighted indication at the reference, m/s20.1261 m/s²0.12608 m/s²±0.1%-0.00002 m/s²16 %
PassISO 8041-12017Table 1Wh reference frequency, Hz79.58 Hz79.5775 Hz±0.01%-0.0025 Hz31 %
PassISO 8041-12017Table 1Wh weighted indication at the reference, m/s22.02 m/s²2.02019 m/s²±0.1%0.00019 m/s²9.4 %
PassISO 8041-12017Table 1Wk reference frequency, Hz15.915 Hz15.9155 Hz±0.01%0.0005 Hz31 %
PassISO 8041-12017Table 1Wk weighted indication at the reference, m/s20.7718 m/s²0.77182 m/s²±0.1%0.00002 m/s²2.6 %
PassISO 8041-12017Table 1Wf reference frequency, Hz0.3979 Hz0.3979 Hz±0.01%-0.0000126 Hz32 %
PassISO 8041-12017Table 1Wf weighted indication at the reference, m/s20.03888 m/s²0.03888 m/s²±0.1%0.00000478 m/s²12 %
PassISO 8041-12017Table 5Upper magnitude tolerance in the central region, %12 %12 %±0.0005 %0 %0.0 %
PassISO 8041-12017Table 5Lower magnitude tolerance in the central region, %-11 %-11 %±0.0005 %0 %0.0 %
PassISO 8041-12017Table 5Upper magnitude tolerance in the skirts, %26 %26 %±0.0005 %0 %0.0 %
PassISO 8041-12017Table 5Lower magnitude tolerance in the skirts, %-21 %-21 %±0.0005 %0 %0.0 %
PassISO 8041-12017Table 5Lower magnitude tolerance in the tails, %-100 %-100 %±0.0005 %0 %0.0 %
PassISO 8041-12017Table 5Characteristic phase deviation in the central region, degrees6 deg6 deg±0.0005 deg0 deg0.0 %
PassISO 8041-12017Table 2Indication tolerance at the reference frequency, %4 %4 %±0.0005 %0 %0.0 %
PassISO 8041-12017Table 2Indication tolerance for low-frequency whole-body vibration, %5 %5 %±0.0005 %0 %0.0 %
PassISO 8041-1201713.1 and 14.1Decision rule at the upper tolerance limit, 2 verdicts11,5 % conforms bare, and not with U = 1 % against +12 %2/2 verdicts±000.0 %
PassISO 8041-1201713.1 and 14.1Decision rule at the lower tolerance limit, 2 verdicts-10,5 % conforms bare, and not with U = 1 % against -11 %2/2 verdicts±000.0 %
PassISO 8041-1201713.1 and 14.1Coverage factor of the expanded uncertainty22±0.000500.0 %
PassISO 8041-1201712.11 and 12.13Maximum permitted expanded uncertainties of measurement, %12.11.2 = 4.5 %; 12.11.3 = 3 %; 12.11.4 = 5 %; 12.13 = 3 %12.11.2 = 4.5 %; 12.11.3 = 3 %; 12.11.4 = 5 %; 12.13 = 3 %±0 %0 %0.0 %
PassISO 8041-12017Table 1Nominal frequency range, 9 weightings18 printed range bounds, 9 weightings18/18 printed range bounds±000.0 %
PassISO 8041-12017Table 1Nominal frequency range of the three applications, HzWh lower = 8 Hz; Wh upper = 1000 Hz; Wm lower = 1 Hz; Wf upper = 0.5 HzWh lower = 8 Hz; Wh upper = 1000 Hz; Wm lower = 1 Hz; Wf upper = 0.5 Hz±0 Hz0 Hz0.0 %
PassISO 8041-12017Formula (H.4)Peak-value deviation at 12 degrees of characteristic phase deviation, %10 %9.9798 %±0.05 %-0.0202 %40 %
PassISO 8041-12017Annex BWh design-goal phase at 158.5 Hz, degrees-93.75 deg-93.7544 deg±0.05 deg-0.0044 deg8.8 %
PassISO 8041-12017Annex BWb design-goal phase at 1 Hz, degrees42.42 deg42.4193 deg±0.05 deg-0.0007 deg1.4 %
PassISO 8041-12017Annex BWk design-goal phase at 15.85 Hz, degrees-61.84 deg-61.8405 deg±0.05 deg-0.0005 deg1.0 %
PassISO 8041-12017Annex BWf design-goal phase at 0.3981 Hz, degrees-162.1 deg-162.1181 deg±0.05 deg-0.0181 deg36 %
PassISO 8041-12017Annex BDesign-goal phase columns of Tables B.1 to B.9, 318 cells318 printed phase cells, 9 weightings318/318 printed phase cells±000.0 %
PassISO 8041-12017Table 5Printed phase columns judged by Formula (6), 9 weightings9 printed phase columns inside Table 59/9 weightings±000.0 %
PassISO 8041-12017H.2.3.4 n)Characteristic phase deviation of a constant group delay, degrees0 deg for any constant delay0 deg±0.000000001 deg0 deg0.0 %
Seat vibration transmission (ISO 10326-1)7/7
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 10326-12016Formula (2)SEAT factor of one test0.70760.7076±0.000500.0 %
PassISO 10326-12016Clause 10.2.1Mean of three agreeing runs at the platform, m/s21.0033 m/s²1.0033 m/s²±0.0005 m/s²0 m/s²0.0 %
PassISO 10326-12016Clause 10.2.1Agreement three consecutive runs must keep, %5 %5 %±0.0005 %0 %0.0 %
PassISO 10326-12016Formula (4)Corrected magnitude on the seat, m/s20.7784 m/s²0.7784 m/s²±0.0005 m/s²0 m/s²0.0 %
PassISO 10326-12016Formula (5)Transmissibility at resonance of the damping test22±0.000500.0 %
PassISO 10326-12016Clause 10.3Inert mass the seat carries for the damping test, kg75 kg75 kg±0.0005 kg0 kg0.0 %
PassISO 10326-12016Clause 9.5.1Reduced test mass for an actively damped suspension, kg60 kg60 kg±0.0005 kg0 kg0.0 %
Saw-tooth signal burst (ISO 8041-1 5.9)17/17
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 8041-12017Table 7Signal-burst response, hand-arm: every printed cell12 cells inside the printed tolerance12/12 printed cells±000.0 %
PassISO 8041-12017Table 8Signal-burst response, whole-body: every printed cell192 cells inside the printed tolerance192/192 printed cells±000.0 %
PassISO 8041-12017Table 9Signal-burst response, low-frequency-whole-body: every printed cell24 cells inside the printed tolerance24/24 printed cells±000.0 %
PassISO 8041-12017Table 7band-limiting, 1 cycle, r.m.s. value, m/s20.0448 m/s²0.04476 m/s²±0.5%-0.00004 m/s²18 %
PassISO 8041-12017Table 7band-limiting, continuous, r.m.s. value, m/s20.565 m/s²0.5649 m/s²±0.5%-0.0001 m/s²3.5 %
PassISO 8041-12017Table 7Wh, 16 cycles, r.m.s. value, m/s20.0309 m/s²0.03084 m/s²±0.5%-0.00006 m/s²39 %
PassISO 8041-12017Table 8band-limiting, continuous, r.m.s. value, m/s20.546 m/s²0.54547 m/s²±0.5%-0.00053 m/s²19 %
PassISO 8041-12017Table 8Wb, 4 cycles, r.m.s. value, m/s20.0614 m/s²0.06139 m/s²±0.5%-0.00001 m/s²3.3 %
PassISO 8041-12017Table 8Wk, 1 cycle, VDV, m/s^1.750.323 m/s^1.750.32306 m/s^1.75±0.5%0.00006 m/s^1.753.7 %
PassISO 8041-12017Table 8Wk, 16 cycles, MTVV exponential, m/s20.289 m/s²0.28888 m/s²±0.5%-0.00012 m/s²8.3 %
PassISO 8041-12017Table 8Wk, continuous, MTVV linear, m/s20.364 m/s²0.36405 m/s²±0.5%0.00005 m/s²2.7 %
PassISO 8041-12017Table 9band-limiting, continuous, MSDV, m/s^1.521.51 m/s^1.521.40289 m/s^1.5±1%-0.10711 m/s^1.550 %
PassISO 8041-12017Table 9Wf, 1 cycle, r.m.s. value, m/s20.0197 m/s²0.01969 m/s²±0.5%-0.00001 m/s²10 %
PassISO 8041-12017Table 6Saw-tooth frequency of the whole-body burst, Hz15.915 Hz15.9155 Hz±0.01%0.0005 Hz31 %
PassISO 8041-12017Table 6Saw-tooth frequency of the hand-arm burst, Hz79.58 Hz79.5775 Hz±0.01%-0.0025 Hz31 %
PassISO 8041-12017Table 6Saw-tooth frequency of the low-frequency whole-body burst, Hz0.3979 Hz0.3979 Hz±0.01%-0.0000126 Hz32 %
PassISO 8041-1201712.13Largest fall time of the whole-body saw-tooth generator, s0.002 s0.002 s±0.000001 s0 s0.0 %
Personal vibration exposure meters (ISO 8041-2)11/11
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 8041-22021Table 7corroborated byISO 8041-12017Table 7Signal-burst response, hand-arm: every printed cell12 cells inside the printed tolerance12/12 printed cells±000.0 %
PassISO 8041-22021Table 8corroborated byISO 8041-12017Table 8Signal-burst response, whole-body: every printed cell192 cells inside the printed tolerance192/192 printed cells±000.0 %
PassISO 8041-22021Table 9corroborated byISO 8041-12017Table 9Signal-burst response, low-frequency-whole-body: every printed cell24 cells inside the printed tolerance24/24 printed cells±000.0 %
PassISO 8041-22021Table 7compared withISO 8041-12017Table 7Printed cells identical to Part 1, hand-arm12 cells, indication and tolerance, as ISO 8041-1 prints them12/12 cells±000.0 %
PassISO 8041-22021Table 8compared withISO 8041-12017Table 8Printed cells identical to Part 1, whole-body192 cells, indication and tolerance, as ISO 8041-1 prints them192/192 cells±000.0 %
PassISO 8041-22021Table 9compared withISO 8041-12017Table 9Printed cells identical to Part 1, low-frequency-whole-body24 cells, indication and tolerance, as ISO 8041-1 prints them24/24 cells±000.0 %
PassISO 8041-22021Table 6compared withISO 8041-12017Table 6Saw-tooth test signal identical to Part 1, 18 fields18/18 fields18/18 fields±000.0 %
PassISO 8041-22021Table 2Tolerances of indication of a PVEM, 2 rows, %indication = 4 %; low-frequency indication = 5 %; weighting consistency = 3 %indication = 4 %; low-frequency indication = 5 %; weighting consistency = 3 %±0 %0 %0.0 %
PassISO 8041-2202112.11Maximum expanded uncertainties of the frequency-response tests, %12.11.2 = 4.5 %; 12.11.3 = 3 %; 12.11.4 = 5 %12.11.2 = 4.5 %; 12.11.3 = 3 %; 12.11.4 = 5 %±0 %0 %0.0 %
PassISO 8041-22021Clauses 12 and 13Maximum expanded uncertainties of measurement, 11 figures over 10 clauses, %12.7 = 2 %; 12.10.1 = 2 %; 12.10.2 = 3 %; 12.10.2 additional ranges = 4 %; 12.11.2 = 4.5 %; 12.11.3 = 3 %; 12.11.4 = 5 %; 12.13 = 3 %; 12.14 = 2 %; 12.18 = 0.01 %; 13.9 = 5 %12.7 = 2 %; 12.10.1 = 2 %; 12.10.2 = 3 %; 12.10.2 additional ranges = 4 %; 12.11.2 = 4.5 %; 12.11.3 = 3 %; 12.11.4 = 5 %; 12.13 = 3 %; 12.14 = 2 %; 12.18 = 0.01 %; 13.9 = 5 %±0 %0 %0.0 %
PassISO 8041-2202112.1 and 13.1Coverage factor of the expanded uncertainty22±000.0 %
Machine vibration evaluation (ISO 20816)64/64
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 20816-12016Annex D.2Vector change between two steady states, mm/s5.2 mm/s5.171 mm/s±0.05 mm/s-0.029 mm/s58 %
PassISO 20816-12016Annex D.2Change a magnitude comparison would report, mm/s-0.5 mm/s-0.5 mm/s±0.05 mm/s0 mm/s0.0 %
PassISO 20816-12016Annex C.2Zone A limit factor Zbound of Formula (C.1)11±0.00500.0 %
PassISO 20816-12016Annex C.2Zone B limit factor Zbound of Formula (C.1)2.562.56±0.00500.0 %
PassISO 20816-12016Annex C.2Zone C limit factor Zbound of Formula (C.1)6.46.4±0.00500.0 %
PassISO 20816-12016Table C.1Typical zone A/B boundary, low end of the range, mm/s0.71 mm/s0.71 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-12016Table C.1Typical zone A/B boundary, high end of the range, mm/s4.5 mm/s4.5 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-12016Table C.1Typical zone B/C boundary, low end of the range, mm/s1.8 mm/s1.8 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-12016Table C.1Typical zone B/C boundary, high end of the range, mm/s9.3 mm/s9.3 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-12016Table C.1Typical zone C/D boundary, low end of the range, mm/s4.5 mm/s4.5 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-12016Table C.1Typical zone C/D boundary, high end of the range, mm/s14.7 mm/s14.7 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-12016Table C.1Every range end is a rung of the printed ladder00±0.500.0 %
PassISO 20816-12016Figure 9Criterion is flat between the corner frequencies, worst deviation, mm/s0 mm/s0 mm/s±0.000000001 mm/s0 mm/s0.0 %
PassISO 20816-12016Figure 9Constant-displacement slope below the lower corner, dB per octave6.0206 dB6.0206 dB±0.001 dB-8.67e-8 dB0.0 %
PassISO 20816-12016Figure 9Constant-acceleration slope above the upper corner, dB per octave6.0206 dB6.0206 dB±0.001 dB-8.67e-8 dB0.0 %
PassISO 10816-32009Table A.1Zone boundaries, group 1 on rigid supports, displacement, worst deviation0 µm0 µm±0.0005 µm0 µm0.0 %
PassISO 10816-32009Table A.1Zone boundaries, group 1 on rigid supports, velocity, worst deviation0 mm/s0 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 10816-32009Table A.1Zone boundaries, group 1 on flexible supports, displacement, worst deviation0 µm0 µm±0.0005 µm0 µm0.0 %
PassISO 10816-32009Table A.1Zone boundaries, group 1 on flexible supports, velocity, worst deviation0 mm/s0 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 10816-32009Table A.2Zone boundaries, group 2 on rigid supports, displacement, worst deviation0 µm0 µm±0.0005 µm0 µm0.0 %
PassISO 10816-32009Table A.2Zone boundaries, group 2 on rigid supports, velocity, worst deviation0 mm/s0 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 10816-32009Table A.2Zone boundaries, group 2 on flexible supports, displacement, worst deviation0 µm0 µm±0.0005 µm0 µm0.0 %
PassISO 10816-32009Table A.2Zone boundaries, group 2 on flexible supports, velocity, worst deviation0 mm/s0 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 10816-320095.2.3The more restrictive of the two quantities decides the zone33±0.500.0 %
PassISO 10816-320095.4.1ALARM above a baseline, as a fraction of the zone B/C boundary0.250.25±0.000500.0 %
PassISO 10816-320095.4.1ALARM ceiling, as a multiple of the zone B/C boundary1.251.25±0.000500.0 %
PassISO 10816-320095.4.2TRIP ceiling, as a multiple of the zone C/D boundary1.251.25±0.000500.0 %
PassISO 10816-320095.3Threshold of a significant change, as a fraction of the zone B/C boundary0.250.25±0.000500.0 %
PassISO 20816-92020Table 2Gear-unit displacement zone boundaries at a rating of 31.5, worst deviation0 µm0 µm±0.0005 µm0 µm0.0 %
PassISO 20816-92020Table 2Gear-unit displacement zone boundaries at a rating of 50, worst deviation0 µm0 µm±0.0005 µm0 µm0.0 %
PassISO 20816-92020Table 2Gear-unit displacement zone boundaries at a rating of 80, worst deviation0 µm0 µm±0.0005 µm0 µm0.0 %
PassISO 20816-92020Table 2Gear-unit displacement zone boundaries at a rating of 125, worst deviation0 µm0 µm±0.0005 µm0 µm0.0 %
PassISO 20816-92020Table 2Gear-unit displacement zone boundaries at a rating of 200, worst deviation0 µm0 µm±0.0005 µm0 µm0.0 %
PassISO 20816-92020Table 3Gear-unit velocity zone boundaries at a rating of 3.15, worst deviation0 mm/s0 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-92020Table 3Gear-unit velocity zone boundaries at a rating of 5, worst deviation0 mm/s0 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-92020Table 3Gear-unit velocity zone boundaries at a rating of 8, worst deviation0 mm/s0 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-92020Table 3Gear-unit velocity zone boundaries at a rating of 12.5, worst deviation0 mm/s0 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-92020Table 3Gear-unit velocity zone boundaries at a rating of 20, worst deviation0 mm/s0 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-92020Table 4Gear-unit acceleration zone boundaries at a rating of 5, worst deviation0 m/s²0 m/s²±0.0005 m/s²0 m/s²0.0 %
PassISO 20816-92020Table 4Gear-unit acceleration zone boundaries at a rating of 8, worst deviation0 m/s²0 m/s²±0.0005 m/s²0 m/s²0.0 %
PassISO 20816-92020Table 4Gear-unit acceleration zone boundaries at a rating of 12.5, worst deviation0 m/s²0 m/s²±0.0005 m/s²0 m/s²0.0 %
PassISO 20816-92020Table 4Gear-unit acceleration zone boundaries at a rating of 20, worst deviation0 m/s²0 m/s²±0.0005 m/s²0 m/s²0.0 %
PassISO 20816-92020Table 4Gear-unit acceleration zone boundaries at a rating of 31.5, worst deviation0 m/s²0 m/s²±0.0005 m/s²0 m/s²0.0 %
PassISO 20816-92020Table 4Gear-unit acceleration zone boundaries at a rating of 50, worst deviation0 m/s²0 m/s²±0.0005 m/s²0 m/s²0.0 %
PassISO 20816-92020Table 4Gear-unit acceleration zone boundaries at a rating of 80, worst deviation0 m/s²0 m/s²±0.0005 m/s²0 m/s²0.0 %
PassISO 20816-92020Table 4Gear-unit acceleration zone boundaries at a rating of 125, worst deviation0 m/s²0 m/s²±0.0005 m/s²0 m/s²0.0 %
PassISO 20816-92020Table 4Gear-unit acceleration zone boundaries at a rating of 200, worst deviation0 m/s²0 m/s²±0.0005 m/s²0 m/s²0.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class I, subclass a, worst deviation00±0.000500.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class I, subclass b, low power, worst deviation00±0.000500.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class I, subclass b, high power, worst deviation00±0.000500.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class II, subclass a, worst deviation00±0.000500.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class II, subclass b, low power, worst deviation00±0.000500.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class II, subclass b, high power, worst deviation00±0.000500.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class III, subclass a, worst deviation00±0.000500.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class III, subclass b, low power, worst deviation00±0.000500.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class III, subclass b, high power, worst deviation00±0.000500.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class IV, subclass a, worst deviation00±0.000500.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class IV, subclass b, low power, worst deviation00±0.000500.0 %
PassISO 20816-92020Table 5Gear-unit ratings for class IV, subclass b, high power, worst deviation00±0.000500.0 %
PassISO 20816-92020Figure A.1Fall of the displacement rating curve a decade above its corner, dB10 dB10 dB±0.0005 dB0 dB0.0 %
PassISO 20816-92020Figure A.1Displacement rating curve below its corner, worst deviation from DR, µm0 µm0 µm±0.0005 µm0 µm0.0 %
PassISO 20816-92020Figure A.2Fall of the velocity rating curve a decade outside each corner, dB14 dB14 dB±0.0005 dB0 dB0.0 %
PassISO 20816-92020Figure A.2Velocity rating curve between its corners, worst deviation from VR, mm/s0 mm/s0 mm/s±0.0005 mm/s0 mm/s0.0 %
PassISO 20816-92020Table 4, noteVelocity rungs carried onto acceleration rungs at 280 Hz, worst error, %0 %2.034 %±3 %2.034 %68 %
Vibration effects on structures (DIN 4150-3)27/27
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, commercial and industrial buildings, 1 Hz20 mm/s20 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, commercial and industrial buildings, 10 Hz20 mm/s20 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, commercial and industrial buildings, 50 Hz40 mm/s40 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, commercial and industrial buildings, 100 Hz50 mm/s50 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, dwellings, 1 Hz5 mm/s5 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, dwellings, 10 Hz5 mm/s5 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, dwellings, 50 Hz15 mm/s15 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, dwellings, 100 Hz20 mm/s20 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, especially sensitive buildings, 1 Hz3 mm/s3 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, especially sensitive buildings, 10 Hz3 mm/s3 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, especially sensitive buildings, 50 Hz8 mm/s8 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi at the foundation, especially sensitive buildings, 100 Hz10 mm/s10 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi in the topmost floor plane, commercial and industrial buildings40 mm/s40 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi in the topmost floor plane, dwellings15 mm/s15 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 1Short-term guideline vi in the topmost floor plane, especially sensitive buildings8 mm/s8 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 3Long-term guideline vi in the topmost floor plane, commercial and industrial buildings10 mm/s10 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 3Long-term guideline vi in the topmost floor plane, dwellings5 mm/s5 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 3Long-term guideline vi in the topmost floor plane, especially sensitive buildings2.5 mm/s2.5 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 2Short-term guideline vi on a buried pipeline, welded steel100 mm/s100 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 2Short-term guideline vi on a buried pipeline, concrete and flanged metal80 mm/s80 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Table 2Short-term guideline vi on a buried pipeline, masonry and plastic50 mm/s50 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Clause 6.3Long-term reduction of the pipeline guideline values0.50.5±0.000500.0 %
PassDIN 4150-31999-02Clause 5.1Massive engineering structures, factor on the row 1 values22±0.000500.0 %
PassDIN 4150-31999-02Clause 5.2Vertical guideline vz for a ceiling or floor, mm/s20 mm/s20 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Bild 1Guideline vi inside a band, dwellings, 30 Hz10 mm/s10 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Bild 1Guideline vi inside a band, commercial and industrial buildings, 75 Hz45 mm/s45 mm/s±0.005 mm/s0 mm/s0.0 %
PassDIN 4150-31999-02Clause 6.4Lowest horizontal natural frequency of a ten-storey building, Hz1 Hz1 Hz±0.0005 Hz0 Hz0.0 %
Building response prediction (ISO 4866)15/15
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 48662010D.2Fundamental frequency of a 23 m building, f = 46/h, Hz2 Hz2 Hz±0.0005 Hz0 Hz0.0 %
PassISO 48662010D.2Fundamental frequency of a 46 m building, f = 46/h, Hz1 Hz1 Hz±0.0005 Hz0 Hz0.0 %
PassISO 48662010D.2Fundamental frequency of a 92 m building, f = 46/h, Hz0.5 Hz0.5 Hz±0.0005 Hz0 Hz0.0 %
PassISO 48662010D.2The same fit as a period, T = 0,022 h, s1.1 s1.1 s±0.0005 s0 s0.0 %
PassISO 48662010D.2Fundamental frequency of a ten-storey building, f = 10/n, Hz1 Hz1 Hz±0.0005 Hz0 Hz0.0 %
PassISO 48662010Formula (D.1)Fundamental period from the height form at k = 0.014, s0.7 s0.7 s±0.0005 s0 s0.0 %
PassISO 48662010Formula (D.1)Fundamental period from the height form at k = 0.03, s1.5 s1.5 s±0.0005 s0 s0.0 %
PassISO 48662010Formula (D.2)Fundamental period from the height_width form at k = 0.087, s1.1673 s1.1672 s±0.0005 s-0.0001 s20 %
PassISO 48662010Formula (D.2)Fundamental period from the height_width form at k = 0.109, s1.4625 s1.4624 s±0.0005 s-0.0001 s20 %
PassISO 48662010Formula (D.3)Fundamental period from the slenderness form at k = 0.06, s0.6971 s0.6971 s±0.0005 s0.0000370 s7.4 %
PassISO 48662010Formula (D.3)Fundamental period from the slenderness form at k = 0.08, s0.9295 s0.9295 s±0.0005 s0.0000160 s3.2 %
PassISO 48662010D.2Upper end of the error band an empirical prediction carries, Hz3 Hz3 Hz±0.0005 Hz0 Hz0.0 %
PassISO 48662010D.2Lower end of the error band an empirical prediction carries, Hz1 Hz1 Hz±0.0005 Hz0 Hz0.0 %
PassISO 48662010D.4Lowest damping ratio measured on a building, % of critical0.5 %0.5 %±0.0005 %0 %0.0 %
PassISO 48662010D.4Highest damping ratio measured on a building, % of critical2.1 %2.1 %±0.0005 %0 %0.0 %
Vibration immission measurement (DIN 45669)35/35
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassDIN 45669-12010-095.2.3.2Band limitation at the lower corner 0,8 f_u, magnitude0.707110.70711±0.00005-1.45e-90.0 %
PassDIN 45669-12010-095.2.3.2Band limitation at the upper corner f_o / 0,8, magnitude0.707110.70711±0.00005-1.45e-90.0 %
PassDIN 45669-12010-095.2.3.2KB weighting at its own corner 5,6 Hz, relative to the band limitation0.707110.70711±0.0000500.0 %
PassDIN 45669-12010-09Table 2Lower limit of F(f) inside the band, %10 %10 %±1.00e-9 %0 %0.0 %
PassDIN 45669-12010-09Table 2Lower limit of F(f) in the skirt, %20 %20 %±1.00e-9 %0 %0.0 %
PassDIN 45669-12010-09Table 3Upper limit of F(f) outside the band, %20 %20 %±1.00e-9 %0 %0.0 %
PassDIN 45669-12010-09Table 9KB_F of a 1 mm/s sine at 1 Hz0.1030.1027±0.001-0.000330 %
PassDIN 45669-12010-09Table 9KB_Fmax of a 1 mm/s sine at 1 Hz0.130.1298±0.001-0.000220 %
PassDIN 45669-12010-09Table 9KB_F of a 1 mm/s sine at 5.6 Hz0.50.4994±0.001-0.000660 %
PassDIN 45669-12010-09Table 9KB_Fmax of a 1 mm/s sine at 5.6 Hz0.5280.5274±0.001-0.000660 %
PassDIN 45669-12010-09Table 9KB_F of a 1 mm/s sine at 31.5 Hz0.6930.6928±0.001-0.000220 %
PassDIN 45669-12010-09Table 9KB_Fmax of a 1 mm/s sine at 31.5 Hz0.70.6998±0.001-0.000220 %
PassDIN 45669-12010-09Table 9KB_F of a 1 mm/s sine at 80 Hz0.5940.5941±0.0010.000110 %
PassDIN 45669-12010-09Table 9KB_Fmax of a 1 mm/s sine at 80 Hz0.5970.5965±0.001-0.000550 %
PassDIN 45669-12010-09Table 9KB_F of a 1 mm/s sine at 315 Hz0.0710.0708±0.001-0.000220 %
PassDIN 45669-12010-09Table 9KB_Fmax of a 1 mm/s sine at 315 Hz0.0710.0709±0.001-0.000110 %
PassDIN 45669-12010-096.2.3.12KB_F under the reference conditions (1 mm/s, 16 Hz)0.6670.6671±0.0010.000110 %
PassDIN 45669-12010-096.2.3.12KB_Fmax under the reference conditions (1 mm/s, 16 Hz)0.680.6803±0.0010.000330 %
PassDIN 45669-1 Ber 12012-12Table 8KB_Fmax of an 80 Hz burst train, continuous, % of continuous100.4 %100.397 %±0.7 %-0.003 %0.4 %
PassDIN 45669-1 Ber 12012-12Table 8KB_Fmax of an 80 Hz burst train, 800 ms, % of continuous100.3 %100.335 %±0.7 %0.035 %5.0 %
PassDIN 45669-1 Ber 12012-12Table 8KB_Fmax of an 80 Hz burst train, 400 ms, % of continuous98.3 %98.337 %±0.7 %0.037 %5.3 %
PassDIN 45669-1 Ber 12012-12Table 8KB_Fmax of an 80 Hz burst train, 200 ms, % of continuous89.7 %89.648 %±0.7 %-0.052 %7.4 %
PassDIN 45669-1 Ber 12012-12Table 8KB_Fmax of an 80 Hz burst train, 100 ms, % of continuous74.5 %74.405 %±0.7 %-0.095 %14 %
PassDIN 45669-1 Ber 12012-12Table 8KB_Fmax of an 80 Hz burst train, 50 ms, % of continuous57.6 %57.59 %±0.7 %-0.01 %1.4 %
PassDIN 45669-1 Ber 12012-12Table 8KB_Fmax of an 80 Hz burst train, 25 ms, % of continuous42.7 %42.886 %±0.7 %0.186 %27 %
PassDIN 45669-1 Ber 12012-12Table 8KB_Fmax of an 80 Hz burst train, 12.5 ms, % of continuous30.9 %31.427 %±0.7 %0.527 %75 %
PassDIN 45669-12010-09Annex E, Table E.1Assessment weighting H_vB, commercial, at 50 Hz0.50.5±0.0000500.0 %
PassDIN 45669-12010-09Annex E, Table E.1Assessment weighting H_vB, commercial, at 100 Hz0.40.4±0.0000500.0 %
PassDIN 45669-12010-09Annex E, Table E.1Assessment weighting H_vB, residential, at 50 Hz0.333330.33333±0.0000500.0 %
PassDIN 45669-12010-09Annex E, Table E.1Assessment weighting H_vB, residential, at 100 Hz0.250.25±0.0000500.0 %
PassDIN 45669-12010-09Annex E, Table E.1Assessment weighting H_vB, sensitive, at 50 Hz0.3750.375±0.0000500.0 %
PassDIN 45669-12010-09Annex E, Table E.1Assessment weighting H_vB, sensitive, at 100 Hz0.30.3±0.0000500.0 %
PassDIN 45669-12010-09Annex E, Table E.2Guideline assessment velocity, commercial, mm/s20 mm/s20 mm/s±0.0005 mm/s0 mm/s0.0 %
PassDIN 45669-12010-09Annex E, Table E.2Guideline assessment velocity, residential, mm/s5 mm/s5 mm/s±0.0005 mm/s0 mm/s0.0 %
PassDIN 45669-12010-09Annex E, Table E.2Guideline assessment velocity, sensitive, mm/s3 mm/s3 mm/s±0.0005 mm/s0 mm/s0.0 %
Railway vibration evaluation (DIN 45672)4/4
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassDIN 45672-21995-077.3.2Block length at 1,25 Hz resolution, s0.8 s0.8 s±1.00e-12 s0 s0.0 %
PassDIN 45672-21995-077.1Relative bandwidth of a third octave, %23 %23.0768 %±0.5 %0.0768 %15 %
PassDIN 45672-21995-07Clause 4Shortfall of the running mean square after 2 tau, %14 %13.53 %±0.5 %-0.466 %93 %
PassDIN 45672-21995-07Clause 4Shortfall of the running mean square after 4 tau, %2 %1.83 %±0.5 %-0.168 %34 %
Vibration and people in buildings (DIN 4150-2)21/21
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassDIN 4150-21999-06Annex C, Example 2Admissible exposure at A_r, h1.48 h1.482 h±0.005 h0.002 h40 %
PassDIN 4150-21999-06Annex C, Example 4KB_FTr of two hammers, Formula (4a)0.150.154±0.0050.00480 %
PassDIN 4150-21999-06Annex C, Example 5KB_FTr with hammer b) in the rest hours, Formula (5)0.20.195±0.005-0.005100 %
PassDIN 4150-21999-06Annex C, Example 6KB_FTr of hammer a) over 16 h with 4 h in the rest hours0.180.179±0.005-0.00120 %
PassDIN 4150-21999-06Annex C, Example 7KB*_Fmax from 4 mm/s at 14 Hz, Formulae (6) and (7)2.12.101±0.050.0012.0 %
PassDIN 4150-21999-06Annex C, Example 8KB_FTm of class 1 by Formula (A.1)0.820.8198±0.005-0.00024.0 %
PassDIN 4150-21999-06Annex C, Example 8KB_FTm of class 2 by Formula (A.1)0.220.2209±0.0050.000918 %
PassDIN 4150-21999-06Annex C, Example 8s(KB²_FTm) of class 1 by Formula (A.2)0.270.2709±0.0050.000918 %
PassDIN 4150-21999-06Annex C, Example 8s(KB²_FTm) of class 2 by Formula (A.2)0.0120.0124±0.00050.000480 %
PassDIN 4150-21999-06Annex C, Example 8KB_FTr of both classes by Formula (A.3)0.3250.3251±0.00050.000120 %
PassDIN 4150-21999-06Annex C, Example 8KB_FTr one spread up, above the value0.0590.0591±0.00050.000120 %
PassDIN 4150-21999-06Annex C, Example 8KB_FTr one spread down, below the value0.0730.0725±0.0015-0.000533 %
PassDIN 4150-21999-06Annex C, Example 8KB_FTm over the 20 intervals of the record, Formula (3)0.3250.3251±0.00050.000120 %
PassDIN 4150-21999-06Annex C, Example 8KB_FTm over the record with the passage maxima alone0.3180.3175±0.0005-0.0005100 %
PassDIN 4150-21999-06Figure 3Stage I A_u interpolated for 2 working days0.730.73±0.00500.0 %
PassDIN 4150-21999-06Figure 3Stage I A_u interpolated for 3 working days0.670.67±0.00500.0 %
PassDIN 4150-21999-06Figure 3Stage I A_u interpolated for 4 working days0.60.6±0.00500.0 %
PassDIN 4150-21999-06Figure 3Stage I A_u interpolated for 5 working days0.530.53±0.00500.0 %
PassDIN 4150-21999-06Figure 3Stage I A_u interpolated for 6 working days0.470.47±0.00500.0 %
PassDIN 4150-21999-06Annex D, Figure D.1Trains an hour at KB_FTm = 0,2 for A_r = 0.0577±1.00e-900.0 %
PassDIN 4150-21999-06Annex D, Figure D.1Trains an hour at KB_FTm = 0,2 for A_r = 0.071414±1.00e-900.0 %
Predicting vibration before it is measured (DIN 4150-1)12/12
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassDIN 4150-12001-06Annex A, Figure A.19alpha from D = 0,01 and lambda = 12,5 m, as printed, 1/m0.005 1/m0.005 1/m±0.0005 1/m0.0000265 1/m5.3 %
PassDIN 4150-12001-06Annex A, Figure A.19v at 80 m by Formula (2) with n = 0, as drawn, mm/s0.32 mm/s0.315 mm/s±0.01 mm/s-0.005 mm/s50 %
PassDIN 4150-12001-06Annex A, Figure A.19v at 80 m by Formula (2) with n = 0.5, as drawn, mm/s0.13 mm/s0.127 mm/s±0.01 mm/s-0.003 mm/s30 %
PassDIN 4150-12001-06Annex A, Figure A.19v at 80 m by Formula (2) with n = 1, as drawn, mm/s0.05 mm/s0.051 mm/s±0.01 mm/s0.001 mm/s10 %
PassDIN 4150-12001-06Figure 2Damping factor at 100 m and 10 Hz, as drawn0.730.73±0.020.0004032.0 %
PassDIN 4150-12001-06Figure 2Damping factor at 100 m and 20 Hz, as drawn0.530.533±0.020.00315 %
PassDIN 4150-12001-06Figure 2Damping factor at 100 m and 30 Hz, as drawn0.390.39±0.02-0.0003391.7 %
PassDIN 4150-12001-06Figure 2Damping factor at 100 m and 40 Hz, as drawn0.280.285±0.020.00525 %
PassDIN 4150-12001-06Figure 2Damping factor at 100 m and 50 Hz, as drawn0.210.208±0.02-0.00210 %
PassDIN 4150-12001-06Annex A, Figure A.18v_N for 20 machines by Formula (7) with chi of Figure 3, as drawn, mm/s0.78 mm/s0.754 mm/s±6%-0.026 mm/s56 %
PassDIN 4150-12001-06Annex A, Figure A.18v_N for 60 machines by Formula (7) with chi of Figure 3, as drawn, mm/s1.03 mm/s0.995 mm/s±6%-0.035 mm/s57 %
PassDIN 4150-12001-06Annex A, Figure A.18v_N for 100 machines by Formula (7) with chi of Figure 3, as drawn, mm/s1.27 mm/s1.258 mm/s±6%-0.012 mm/s16 %
Railway vibration predicted from third-octave spectra (E DIN 45672-3:2023-02)21/21
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassE DIN 45672-3:2023-02Annex C, Table C.1Sum level of the 19 printed bands78.1 dB78.08 dB±0.05 dB-0.022 dB44 %
PassE DIN 45672-3:2023-02Annex C, C.3KB_FTm,Zug from 78,1 dB by Formula (9), c_T1 = 10.40.4018±0.050.00183.6 %
PassE DIN 45672-3:2023-02Annex C, C.3KB_Fmax,Zug by Formula (10), 1,5 times it0.60.6026±0.050.00265.2 %
PassE DIN 45672-3:2023-02Annex C, C.3v_max by Formula (12), 3 times that, mm/s1.81 mm/s1.808 mm/s±0.005 mm/s-0.002 mm/s40 %
PassE DIN 45672-3:2023-02Annex C, C.3KB_FTr of the day by Formula (11), 200 trams at 0,7 (the print's 0,11 puts alpha under the root once, not squared)0.090.0904±0.00050.000480 %
PassE DIN 45672-3:2023-02Annex C, C.3KB_FTr of the night by Formula (11), 20 trams at 0,7 (the print's 0,05 puts alpha under the root once, not squared)0.040.0404±0.00050.000480 %
PassE DIN 45672-3:2023-02Annex C, Table C.1L_v at 4 Hz by Formula (1)28.9 dB28.8 dB±0.1 dB-0.1 dB100 %
PassE DIN 45672-3:2023-02Annex C, Table C.1L_v at 20 Hz by Formula (1)75.6 dB75.6 dB±0.1 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Annex C, Table C.1L_v at 63 Hz by Formula (1)61.4 dB61.4 dB±0.1 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Annex C, Table C.1L_v at 250 Hz by Formula (1)20.8 dB20.8 dB±0.1 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Table 2KB weighting at 4 Hz-4.7 dB-4.7 dB±1.00e-9 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Table 2KB weighting at 8 Hz-1.7 dB-1.7 dB±1.00e-9 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Table 2KB weighting at 20 Hz-0.3 dB-0.3 dB±1.00e-9 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Table 2KB weighting at 63 Hz0 dB0 dB±1.00e-9 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Annex ATable A.1, concrete floor at 8 Hz, the band at 8 Hz15 dB15 dB±1.00e-9 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Annex ATable A.1, concrete floor at 20 Hz, the band at 20 Hz13.12 dB13.12 dB±1.00e-9 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Annex ATable A.2, timber floor at 8 Hz, the band at 4 Hz5.14 dB5.14 dB±1.00e-9 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Annex ATable A.3, ground to a basement, the mean at 31,5 Hz-9.3 dB-9.3 dB±1.00e-9 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Annex ATable A.4, ground to a ground floor, the mean at 12,5 Hz-1.9 dB-1.9 dB±1.00e-9 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Annex ATable A.5, foundation to a concrete floor, the mean at its natural frequency17.26 dB17.26 dB±1.00e-9 dB0 dB0.0 %
PassE DIN 45672-3:2023-02Annex ATable A.6, foundation to a timber floor, the mean at its natural frequency21.93 dB21.93 dB±1.00e-9 dB0 dB0.0 %
Railway vibration by category of train (E DIN 4150-2:2023-08)20/20
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassE DIN 4150-2:2023-08Annex B, Example 8KB_FTr of the day by Formula (6), 144 metros at 1,0 and 80 trams at 0,7 a track (the print says 0,099 8, which its three-decimal r.m.s. give; its four-decimal inputs give 0,099 7)0.09970.0997±0.00010.000020842 %
PassE DIN 4150-2:2023-08Table 1Night A_u of a mixed area, the one cell that changes0.10.1±0.000050000.0 %
PassE DIN 4150-2:2023-08Annex B, Table B.1KB_FTm,Zug of the metro north by Formula (5)0.0370.0365±0.0005-0.0005100 %
PassE DIN 4150-2:2023-08Annex B, Table B.1KB_Fmax,Zug of the metro north by Formula (7)0.0550.0548±0.0005-0.000240 %
PassE DIN 4150-2:2023-08Annex B, Table B.1KB_FTm,Zug of the metro south by Formula (5)0.0470.0468±0.0005-0.000240 %
PassE DIN 4150-2:2023-08Annex B, Table B.1KB_Fmax,Zug of the metro south by Formula (7)0.070.0701±0.00050.000120 %
PassE DIN 4150-2:2023-08Annex B, Table B.1KB_FTm,Zug of the tram east by Formula (5)0.4060.4061±0.00050.000120 %
PassE DIN 4150-2:2023-08Annex B, Table B.1KB_Fmax,Zug of the tram east by Formula (7)0.6090.6091±0.00050.000120 %
PassE DIN 4150-2:2023-08Annex B, Table B.1KB_FTm,Zug of the tram west by Formula (5)0.5680.5676±0.0005-0.000480 %
PassE DIN 4150-2:2023-08Annex B, Table B.1KB_Fmax,Zug of the tram west by Formula (7)0.8510.8514±0.00050.000480 %
PassE DIN 4150-2:2023-08Annex B, Example 9KB_FTr of the nullfall by day, Formula (6) with N_r = 19200.0390.0386±0.0005-0.000480 %
PassE DIN 4150-2:2023-08Annex B, Example 9KB_FTr of the nullfall by night, Formula (6) with N_r = 960 (the print divides by 920 and gets 0,066)0.0650.0649±0.0005-0.000120 %
PassE DIN 4150-2:2023-08Annex B, Example 9KB_FTr of the planfall by day, Formula (6) with N_r = 19200.0460.046±0.00050.00003667.3 %
PassE DIN 4150-2:2023-08Annex B, Example 9KB_FTr of the planfall by night, Formula (6) with N_r = 960 (the print divides by 920 and gets 0,096)0.0940.0937±0.0005-0.000360 %
PassE DIN 4150-2:2023-08Table 3A_u of stage I for 3 working days, as printed0.670.67±0.00500.0 %
PassE DIN 4150-2:2023-08Table 3A_r of stage I for 3 working days, as printed0.370.37±0.00500.0 %
PassE DIN 4150-2:2023-08Table 3A_u of stage II for 5 working days, as printed0.930.93±0.00500.0 %
PassE DIN 4150-2:2023-08Table 3A_r of stage II for 5 working days, as printed0.670.67±0.00500.0 %
PassE DIN 4150-2:2023-08Table 3A_u of stage III for 6 working days, as printed1.271.27±0.00500.0 %
PassE DIN 4150-2:2023-08Table 3A_r of stage III for 6 working days, as printed1.031.03±0.00500.0 %
Speech intelligibility (ANSI S3.5-1997)24/24
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassANSI S3.51997Table 3Band-importance function normalisation11±1.00e-900.0 %
PassASA WG S3-79SII.C (clause 5.4)Equivalent masking spectrum level at 200 Hz-1.665-1.665±0.0010.00028328 %
PassANSI S3.51997clause 5.6Equivalent disturbance in quiet at 5000 Hz-23.6 dB-23.6 dB±0.01 dB0 dB0.0 %
PassASA WG S3-79SII.C (clause 6)SII, noise 30 dB plus hearing loss 40 dB0.2184540.218454±0.000001-3.05e-110.0 %
PassANSI S3.51997Annex C.2Worked example (SII.C / R CRAN, errata applied)0.8513750.851375±0.000001-2.50e-110.0 %
PassANSI S3.51997Table C.2 (errata)Masking Zi at 200 Hz, corrected worksheet34.66 dB34.66 dB±0.01 dB-0.002 dB40 %
PassASA WG S3-79SII.C (clause 6)SII, standard speech in quiet, normal hearing0.995825170.99582517±0.00000100.0 %
PassASA WG S3-79TO.TSTOfficial one-third-octave test case0.4450.445±0.0010.00039178 %
PassASA WG S3-79TO_1.TSTOfficial test case, alternative importance0.4380.438±0.0010.00021844 %
PassASA WG S3-79CB.TSTOfficial critical-band test case0.2730.273±0.001-0.000064613 %
PassASA WG S3-79CB_1.TSTCritical band, alternative importance0.410.41±0.0010.00047495 %
PassASA WG S3-79ECB.TSTOfficial equally-contributing test case0.2780.278±0.0010.00013928 %
PassASA WG S3-79ECB_1.TSTEqually contributing, alternative importance0.410.41±0.0010.00047495 %
PassASA WG S3-79OCTAVE.TSTOfficial octave-band test case0.4910.491±0.001-0.00003757.5 %
PassASA WG S3-79OCTAVE_1.TSTOctave band, alternative importance0.3230.323±0.001-0.000062513 %
PassANSI S3.51997Annex C.1Octave-band worked example (SII.C)0.5040.504±0.0015.00e-110.0 %
PassANSI S3.51997Table C.1 (errata)Level distortion Li, row i = 511±0.01-0.00480 %
PassANSI S3.51997Table 1Critical-band importance normalisation11±1.00e-900.0 %
PassANSI S3.51997Table 2Equally-contributing importance, 17 x 0.05880.99960.9996±1.00e-900.0 %
PassANSI S3.51997Table 4Octave-band importance normalisation11±1.00e-900.0 %
PassANSI S3.51997Table 4Octave-band Ui and Xi equal Table 3's0 dB0 dB±1.00e-9 dB0 dB0.0 %
PassANSI S3.51997Table 1Critical-band table, all 21 rows00±1.00e-900.0 %
PassASA WG S3-79SII.C (clause 6)Flat-input cases, all four procedures00.0000000001±0.0000000010.000000000110.0 %
PassANSI S3.51997Table 3Loud-effort speech spectrum level at 1 kHz42.16 dB42.16 dB±1.00e-9 dB0 dB0.0 %
Objective intelligibility (STOI / ESTOI)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassTaal et al.2011(Eq. 6, degenerate)STOI of a signal against itself = 1 (perfect correlation)11±0.00000100.0 %
PassJensen & Taal2016(Eq. 8, degenerate)ESTOI of a signal against itself = 1 (perfect spectral correlation)11±0.00000100.0 %
PassTaal et al.2011(monotonicity with SNR)STOI rises from -15 dB to +25 dB SNR speech-shaped noiseSTOI(+25 dB) - STOI(-15 dB) > 0.20.462 (0.389 -> 0.851)-0-
Impulsive-sound prominence (NT ACOU 112)2/2
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassNT ACOU 1122002Formula 1Predicted prominence, OR=1000 dB/s, LD=30 dB11.954211.9542±0.00010.000042543 %
PassNT ACOU 1122002Formula 2Adjustment KI to LAeq at prominence P=109 dB9 dB±1.00e-9 dB0 dB0.0 %
Impulsive-sound prominence (ISO/PAS 1996-3)2/2
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO/PAS 1996-320223.5Onset rate of a 30 dB ramp over 0.30 s100 dB/s100 dB/s±0.00000100 dB/s0 dB/s0.0 %
PassISO/PAS 1996-32022Formula 3Adjustment KI of the ramp onset7.1176 dB7.1176 dB±0.00000100 dB0 dB0.0 %
Room noise (ANSI S12.2-2019)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassANSI S12.22019Table 1NC-40 curve, tangency self-consistency4040±1.00e-900.0 %
PassANSI S12.22019Table D.1RC-31 Mark II curve, 63 Hz level5151±1.00e-900.0 %
PassANSI S12.22019clause D.4RC-35 curve, mid-frequency average LMF3535±1.00e-900.0 %
Hearing threshold (ISO 7029 / ISO 389-7)6/6
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 70292017Table 1Median threshold, male age 60 at 4 kHz20.209 dB20.208 dB±0.001 dB-0.0000261 dB2.6 %
PassISO 70292017Table 2Upper spread su, male age 60 at 1 kHz10.153 dB10.153 dB±0.001 dB-0.0000319 dB3.2 %
PassISO 389-72005Table 1Free-field reference threshold at 1 kHz2.4 dB2.4 dB±1.00e-9 dB0 dB0.0 %
PassISO 389-11998Table 1also names (coupler)IEC 60303RETSPL of the two named earphones at 1 kHz, and the TDH 39 at 125 HzDT 48, 1 kHz = 8 dB; TDH 39, 1 kHz = 7 dB; TDH 39, 125 Hz = 45 dBDT 48, 1 kHz = 8 dB; TDH 39, 1 kHz = 7 dB; TDH 39, 125 Hz = 45 dB±0 dB0 dB0.0 %
PassISO 389-11998Table 2also names (artificial ear)IEC 60318RETSPL of any other supra-aural earphone at 6,3 kHz21 dB21 dB±1.00e-9 dB0 dB0.0 %
PassISO 389-11998Clause 3.7 (hearing level against the audiometric zero)40 dB HL at 4 kHz on a TDH 39 is the reference level plus 40 dB49.5 dB49.5 dB±1.00e-9 dB0 dB0.0 %
Measurement uncertainty (GUM / Supplement 1)7/7
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO/IEC Guide 98-3-1clause 9.2Combined uncertainty, additive model22±1.00e-900.0 %
PassISO/IEC Guide 98-3Table G.2Coverage factor, p=0.99, v=162.922.921±0.0050.00120 %
PassISO/IEC Guide 98-3Annex G.4Welch-Satterthwaite effective dof4040±0.0000010000.0 %
PassISO/IEC Guide 98-3Annex H.1End-gauge combined uncertainty uc, nm31.71 nm31.71 nm±0.01 nm0.001 nm10 %
PassISO/IEC Guide 98-3Annex H.1End-gauge expanded uncertainty U99, nm92.1 nm92.1 nm±0.1 nm0.04 nm40 %
PassISO/IEC Guide 98-3Annex H.2 (Table H.3)Correlated V/I/phi budget: uc(R), ohm0.071 ohm0.071 ohm±0.001 ohm0.0000714 ohm7.1 %
PassISO/IEC Guide 98-3-1Table 3 (clause 9.2.3)Seeded Monte Carlo, rectangular sum: 95 % interval endpoint+/-3.88 (u = 2.0)+/-3.886 (u = 2.002)-0.006-
Noise-induced hearing loss (ISO 1999)6/6
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 19992013Table D.2Median NIPTS, 4 kHz, 90 dB, 20 yr13 dB12.9 dB±0.5 dB-0.057 dB11 %
PassISO 19992013Table D.2Worst-10 % NIPTS, 4 kHz, 90 dB, 20 yr18 dB17.8 dB±0.5 dB-0.239 dB48 %
PassISO 19992013Table D.4Worst-10 % NIPTS, 3 kHz, 100 dB, 40 yr60 dB59.8 dB±0.5 dB-0.172 dB34 %
PassISO 19992013Annex C, Formulae (C.6) to (C.8)NIPTS at 1/2/4 kHz, 90 dB, 30 yr, Q = 10 % (annex inputs)0, 9, 19 dB0, 9, 19 dB-0 dB-
PassISO 19992013Annex C, Formula (C.5)Compressed 4 kHz shift, Formula (1) with the annex's H = 36 dB13.3 dB13.3 dB±0.1 dB0 dB0.0 %
PassISO 19992013Annex C, Formula (C.11)Hearing threshold level with age and noise, 1/2/4 kHz mean, Q = 10 %31.1 dB31.1 dB±0.1 dB0 dB0.0 %
Hearing protector attenuation (ISO 4869-1)6/6
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 4869-12018Annex A, Table A.2Within-laboratory budget: u and U95 from the three components30/30 cells of Table A.230/30 cells of Table A.2±000.0 %
PassISO 4869-12018Annex B, Table B.2Between-laboratory budget: u and U95 from the three components30/30 cells of Table B.230/30 cells of Table B.2±000.0 %
PassISO 4869-12018Annex A, Table A.3Earmuff on 16 subjects: mean, sigma, u = sigma/4 and U95, 7 bandsTable A.3 derived rows at 1 dp, 28 cellsmax deviation 0.000 dB-0.000 dB-
PassISO 4869-12018Annex B, Table B.1Two tests of one earmuff: criterion row, difference row and verdictcriterion row at 1 dp; difference row within 0.1 dB of the rounded m2; significant at 8000 Hz onlycriterion max deviation 0.000 dB; difference max deviation 0.056 dB; significant at 8000 Hz-0.056 dB-
PassISO 4869-12018B.1.1 and B.2Minimum significant difference sqrt(2) x U95, 250 Hz to 4 kHzA.2 earplug = 3.3 dB; A.2 earmuff = 2.3 dB; B.2 earplug = 9.3 dB; B.2 earmuff = 6.9 dBA.2 earplug = 3.3 dB; A.2 earmuff = 2.3 dB; B.2 earplug = 9.3 dB; B.2 earmuff = 6.9 dB±0 dB0 dB0.0 %
PassISO 4869-12018Table 1Allowable sound-field variation by microphone free-field rejection5/5 rows of Table 1, the last one 'not suitable'5/5 rows of Table 1±000.0 %
Hearing protectors (ISO 4869-2)4/4
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 4869-22018Annex A, Table A.1Assumed protection: mean and spread over 16 subjects, 8 bandsm_f and s_f equal to Table A.1 at 1 dp, all 8 bandsmax deviation 0.000 dB-0.000 dB-
PassISO 4869-22018Formula (2), Annex BOctave-band method: Table B.1 net levels and L'p,A84Table B.1 rows exact; L'p,A84 = 81.4 dBrows within 0.000 dB; 81.4 dB-+0.000 dB-
PassISO 4869-22018Formulae (12) to (15), Annex CHML method: 16 subject triples, statistics and H84/M84/L84Table C.2 exact; H84/M84/L84 = (24, 18, 13) dBwithin 0.000 dB; (24, 18, 13) dB-0.000 dB-
PassISO 4869-22018Formulae (16) to (24)HML and SNR applications land on the annexes' 82 dBPNR84 = 22,5 dB; SNR84 = 21 dB; both report 82 dB22.5 dB; 21 dB; 82 and 82 dB-+0.000 dB-
Active noise reduction earmuffs (ISO 4869-6)8/8
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 4869-62019Annex A, Table A.2Within-laboratory budget of the mean active insertion loss5/5 cells of Table A.25/5 cells of Table A.2±000.0 %
PassISO 4869-62019Annex A, Table A.3Active insertion loss of 16 subjects: mean and sigma, 8 bands16/16 cells of the mean and sigma rows16/16 cells of the mean and sigma rows±000.0 %
PassISO 4869-62019Annex A, Table A.3u = sigma/4 and U95 = 2u, as the table forms them from its rounded rows16/16 cells from the rounded rows; 7 moved at full precision16/16 cells of the u and U95 rows±000.0 %
PassISO 4869-620195.5 b), calculation exampleLower-ear active insertion loss from the MIRE levels, 16 x 24 cells384/384 cells of rows 134-149384/384 cells of rows 134-149±000.0 %
PassISO 4869-620195.5 a), calculation exampleREAT interpolated linearly in hertz into 24 one-third octaves384/384 cells of rows 182-197384/384 cells of rows 182-197±000.0 %
PassISO 4869-620195.5 c), calculation exampleTotal attenuation per one-third octave, 16 x 24 cells384 cells of rows 206-221, within 0.05 dBmax deviation 0.050 dB-0.050 dB-
PassISO 4869-62019Formula (1), calculation exampleOctave-band total attenuation of 16 subjects, 8 bands128 cells of rows 230-245, within 0.1 dBmax deviation 0.076 dB-0.076 dB-
PassISO 4869-620195.5 e), calculation exampleMean, SD and APV84 of the octave totals16/16 cells of rows 247-248; APV84 within 0.1 dB of row 24916/16 cells; APV84 max deviation 0.083 dB-0.083 dB-
Multiple-shock whole-body vibration (ISO 2631-5)6/6
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 2631-52018Formula 3Daily acceleration dose, 5 x 40 m/s2 peaks55.97 m/s²55.97 m/s²±0.01 m/s²-0.002 m/s²20 %
PassISO 2631-52018Formula C.3Stress variable R, Annex C male example1.221.22±0.01-0.00002580.3 %
PassISO 2631-52018Formula C.5Injury probability, Annex C male example0.370.37±0.01-0.00330 %
PassISO 2631-52018Annex C NOTE 5Compressive stress Sd, female example1.4 MPa1.4 MPa±0.01 MPa-0.001 MPa10 %
PassISO 2631-52018Annex C NOTE 5Stress variable R, female example0.970.96±0.01-0.00880 %
PassISO 2631-52018Formula 1 vs Annex D Table D.1Seat-to-spine transfer vs the 256 Hz digital filter (0,5-80 Hz)max abs(Formula 1 - filter) ≤ 0,040.001±0.040.0012.5 %
Sound absorption in enclosed spaces (EN 12354-6)2/2
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassEN 12354-62003Formula 1Equivalent absorption area, Annex E bare room2.26 m²2.26 m²±0.01 m²0.003 m²30 %
PassEN 12354-62003Formula 5Reverberation time, Annex E bare room2.1 s2.1 s±0.1 s0.003 s6.0 %
Impulsive sound exposure distribution (ISO 13474)7/7
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 134742009Equations (10) to (13), Table A.4Sorted levels and class boundaries of the 27 classes81/81 levels and boundaries of Table A.481/81 levels and boundaries of Table A.4±000.0 %
PassISO 134742009Equation (14), Table A.4Probability of each class over 07:00 to 19:00, sorted with its level27/27 probabilities of Table A.427/27 probabilities of Table A.4±000.0 %
PassISO 134742009Equation (15), Table A.4Probability density of each class, in 1/dB27/27 densities of Table A.427/27 densities of Table A.4±000.0 %
PassISO 134742009Equation (7), Figure A.3Long-term average single-event level LT1 of the TOW launcher37 dB37.01 dB±0.05 dB0.01 dB20 %
PassISO 134742009Equation (A.4), Figure A.3Long-term level LT2 from the distribution spread with sigma = 5 dB37 dB36.96 dB±0.05 dB-0.042 dB84 %
PassISO 134742009Equation (22)Shift of the Gaussian subclasses at sigma = 5 dB, against the printed integral2.878231366 dB2.878231366 dB±0.000000001 dB0 dB0.0 %
PassISO 134742009Equation (25), Figure A.3Level exceeded by 50 % of the events, L5031.5 dB31.46 dB±0.05 dB-0.044 dB88 %
Soundscape analysis (ISO/TS 12913-3:2019; the 2025 edition revises Annex A)14/14
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO/TS 12913-32019A.2, Table A.1Scale value of each of the five boxes of the four parts of Method A20/20 scale values of Table A.120/20 scale values of Table A.1±000.0 %
PassISO/TS 12913-32019Formulas (A.1) and (A.2)Every attribute at one score puts the respondent at the origin0max |P|, |E| below 1e-12±0.00000000000100.0 %
PassISO/TS 12913-32019A.3Range of the coordinates, 4 + sqrt(32), printed as 9,669.669.6569±0.005-0.003162 %
PassISO/TS 12913-32019A.3The four extremes of P and E divided by 4 + sqrt(32) are plus and minus 14/4 normalised extremes at plus or minus 14/4 normalised extremes at plus or minus 1±000.0 %
PassISO/TS 12913-32019Figure A.1, Formulas (A.1) and (A.2)Each attribute raised alone moves the point along its own arrow of the figure8/8 attribute axes of Figure A.18/8 attribute axes of Figure A.1±000.0 %
PassISO/TS 12913-32019Formula (A.3)Spearman's coefficient without ties is Pearson's coefficient of the ranks0.93006993010.9300699301±1.00e-1200.0 %
PassISO/TS 12913-32019Formula (A.4) against scipy.stats.spearmanrSpearman's coefficient with ties, on 93 real ordinal answers-0.3898917508-0.3898917508±1.00e-1200.0 %
PassISO/TS 12913-32019A.4 against scipy.stats.spearmanrProbability value of Spearman's coefficient, Student t with n - 2 degrees of freedom0.000122140.00012214±1e-7%00.0 %
PassISO/TS 12913-32019Formulas (B.1) and (B.2) against scipy.stats.pearsonrPearson's coefficient with the covariance over n-0.3898445719-0.3898445719±1.00e-1200.0 %
PassISO/TS 12913-32019B.2 against scipy.stats.t.intervalUpper end of the 95 % confidence interval of a Method B mean3.58920882753.5892088275±1.00e-1200.0 %
PassISO/TS 12913-32019Table D.1Metrics of each parameter and the representative-value rule, as printed24/24 cells of Table D.124/24 cells of Table D.1±000.0 %
PassISO/TS 12913-32019D.2Representative LAeq,T of two ears 6 dB apart is the louder ear's77.3004 dB77.3004 dB±1.00e-9 dB0 dB0.0 %
PassISO/TS 12913-22018Figures C.2 to C.6Response categories of the four parts of Method A, and the eight attributes33/33 printed strings of Annex C33/33 printed strings of Annex C±000.0 %
PassISO/TS 12913-22018A.3 f)run withISO 532-12017Root mean cubed loudness Nrmc of an ear, by the formula of the NOTE18.24539218.245392±1e-10%00.0 %
Prominent discrete tones (ECMA-418-1)2/2
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassECMA-418-12024Clause 10 Formula (2)Critical band at 1 kHz (f1,c / f2,c / dfc)dfc 162.2 Hz (+/-0.05 Hz); edges 922.2-1084.4 Hzdfc 162.22 Hz; edges 922.2-1084.4 Hz-0.017 Hz-
PassECMA-418-12024Clause 11.6 Formula (14)Proximity spacing dfprox at 150 / 850 Hz23 Hz @ 150 Hz; 63.8 Hz @ 850 Hz (+/-0.5 Hz)23.0 Hz; 63.8 Hz-+0.004; +0.044 Hz-
Tonal audibility (ISO/PAS 20065)11/11
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO/PAS 200652016Formulae (12)-(14)Audibility at 137.3 Hz, Annex E spectrum 14.99 dB5.01 dB±0.05 dB0.022 dB44 %
PassISO/PAS 200652016Formula (13)Masking index av at 137.3 / 592.2 Hz-2.02 dB @ 137.3 Hz; -2.4 dB @ 592.2 Hz (+/-0.005 dB)-2.017 dB; -2.400 dB-+0.003; +0.000 dB-
PassISO/PAS 200652016Formula (20)Mean audibility of the five spectra, Annex E6.96 dB6.98 dB±0.05 dB0.018 dB36 %
PassISO/PAS 200652016Formula (6)Mean narrow-band level LS from spectrum, Table E.149.22 dB49.22 dB±0.02 dB-0.001 dB5.0 %
PassISO/PAS 200652016Clause 6Extended uncertainty U of the 137.3 Hz tone, Table E.22.79 dB2.8 dB±0.02 dB0.006 dB30 %
PassISO/PAS 200652016Formulae (28)-(29)Extended uncertainty of the mean audibility, Annex E Step 41.38 dB1.38 dB±0.01 dB-0.003 dB30 %
PassISO/PAS 200652016Formula (8)Tone level LT from spectrum, Table E.167.96 dB67.96 dB±0.02 dB-0.005 dB25 %
PassISO/PAS 200652016Clause 5.3.8Tone detection over the spectrum, Table E.1tones at [118.4, 137.3, 158.8] Hztones at [118.4, 137.3, 158.8] Hz-exact-
PassISO/PAS 200652016Clause 5.3.8 Step 3Same-band FG combination inside analyze_spectrum, Table E.2 row 2 FG72.15 dB72.15 dB±0.02 dB-0.002 dB10 %
PassISO/PAS 200652016Formula (17)Multi-tone FG combination, Table E.172.15 dB72.15 dB±0.02 dB-0.002 dB10 %
PassISO/PAS 200652016Formulae (18)/(19)Two-tone separation fD (DIN 45681 Annex J), 137.3 / 212 HzfD(137.3)=24.09, fD(212)=21.0 Hz; Annex E pair combinedfD(137.3)=24.09, fD(212)=21.00 Hz; Annex E pair combined-exact-
Psychoacoustic annoyance & fluctuation strength (Fastl & Zwicker)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassFastl & ZwickerEqs (16.2)-(16.4)Psychoacoustic annoyance, worked (N5,S,F,R) tuple37.047837.0477±0.001-0.000110 %
PassFastl & ZwickerEq (10.2)Fluctuation strength of AM broadband noise (60 dB, m=1, 4 Hz)3.6943 vacil3.6943 vacil±0.001 vacil-0.0000325 vacil3.2 %
PassFastl & ZwickerCh. 10corroborated byOsses et al.2016Fluctuation-strength calibration: 1 kHz / 60 dB / m=1 / 4 Hz AM tone1 vacil1 vacil±0.05 vacil0 vacil0.0 %
Electroacoustics: distortion & frequency response20/20
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 60268-32013(14.12.3.2)THD (rel. total RMS, the R convention the clause defines)0.1128530.112853±0.000100.0 %
PassClosed-form harmonic synthesis (THD_F convention)THD (rel. fundamental, the widespread datasheet convention)0.1135780.113578±0.000100.0 %
PassIEC 60268-52003(20.3/20.4)Characteristic sensitivity level, 1 W into 8 ohm at 1 m (flat 90 dB)90 dB90 dB±0.000001 dB0 dB0.0 %
PassIEC 60268-52003(21.2)Effective frequency range = -10 dB crossings (50 Hz / 18 kHz)50 Hz / 18000 Hz (ref -10 dB crossings)50.000 Hz / 18000.0 Hz--0.000 / -0.000 Hz-
PassIEC 60268-32013(14.12.5)2nd-order harmonic distortion d2 (rel. total)0.0993610.099361±0.000100.0 %
PassIEC 60268-42014(11.1/11.3)Microphone sensitivity level, 12.5 mV/Pa -> 20 lg 0.0125 dB re 1 V/Pa-38.0618 dB-38.0618 dB±0.00001 dB2.60e-7 dB2.6 %
PassIEC 60268-42014(12.2)Effective frequency range = +/-3 dB tolerance crossings (40 Hz / 18 kHz)40 Hz / 18000 Hz (+/-3 dB tolerance crossings)40.000 Hz / 18000.0 Hz-0.000 / -0.000 Hz-
PassIEC 60268-42014(13.2.2)Directivity index of the ideal cardioid, 10 lg 3 dB (11.2.2 a integral)4.771213 dB4.771214 dB±0.005 dB0.000001 dB0.0 %
PassIEC 60268-42014(17.2)Equivalent noise level, 2.5 uV over 12.5 mV/Pa -> 200 uPa = 20 dB SPL20 dB SPL20 dB SPL±1.00e-9 dB SPL0 dB SPL0.0 %
PassIEC 60268-32013(14.12.7.2 g)Modulation distortion d_m,2 (arithmetic sideband sum over U_2,f2)0.160.16±0.000100.0 %
PassIEC 60268-32013(14.12.7.2 h)Modulation distortion d_m,3 (arithmetic sideband sum over U_2,f2)0.080.08±0.000100.0 %
PassIEC 60268-32013(14.12.8.1 a)Difference-frequency distortion d_d,2 (over U_2,ref = 2 U_2,f2)0.030.03±0.000100.0 %
PassIEC 60268-32013(14.12.8.1 b)Difference-frequency distortion d_d,3 (arithmetic product sum)0.040.04±0.000100.0 %
PassIEC 60268-32013(14.12.10)Total difference-frequency distortion (8 kHz / 11.95 kHz tones)0.036055510.03605551±0.000100.0 %
PassITU-R BS.468-4Table 1Weighting network response at the 6.3 kHz peak (14.12.11 network)12.2 dB12.2167 dB±0.05 dB0.0167 dB33 %
PassIEC 60268-32013(14.12.9)DIM of the 15 kHz / 3.15 kHz signal (Table 2, 9 products)0.1688190.168819±0.000100.0 %
PassBendat & Piersol, Random Data4eH1 recovers a known first-order IIR gain at 1 kHz0.89540.8954±2%0.00003410.2 %
PassBendat & Piersol, Random Data4eOrdinary coherence = 1 for a noiseless LTI path11±0.001-3.41e-70.0 %
PassAES172015(6.4.2 / 5.2.7)Idle channel noise, 1 kHz -20 dBFS tone (CCIR-RMS -5.63 dB offset)-25.63 dB-25.63 dB±0.01 dB0 dB0.0 %
PassAES172015(6.4.1)Dynamic range, full-scale reference over a -40 dBFS residual at 2 kHz40 dB40.38 dB±0.6 dB0.385 dB64 %
Calibrated spectral analysis (Bendat & Piersol)12/12
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassBendat & Piersol, Random Data4eEq. (5.67)White-noise autospectral density = sigma^2/(fs/2)0.0009770.000982±3%0.00000517 %
PassBendat & Piersol, Random Data4eEq. (8.158)PSD random error = 1/sqrt(nd) (Monte Carlo, 100 seeded records)0.17680.1764±6%-0.00043.8 %
PassBendat & Piersol, Random Data4eEq. (8.163)95% chi-square confidence interval coverage (Monte Carlo)0.950.94±0.025-0.0140 %
PassBendat & Piersol, Random Data4eEqs. (9.55)/(6.39)Coherent output spectrum of a known-SNR path: gamma^2 = SNR/(1+SNR)0.71910.7255±0.030.006421 %
PassClosed-form power-law slope (10*lg(2) dB/octave per unit exponent)Pink-noise PSD slope over 20 Hz - 20 kHz, dB/octave-3.0103 dB/oct-3.0116 dB/oct±0.05 dB/oct-0.0013 dB/oct2.6 %
PassIEC 60268-11985Clause A2.1 / Table AII5 ms burst of 5 kHz tone at 48 kHz: gate RMS = A/sqrt(2) (integral periods)0.7071070.707107±1.00e-1200.0 %
PassHarris1978closed form (DFT-even Hann)Hann window ENBW = n*sum(w^2)/sum(w)^2 = 3/2 exactly1.51.5±1.00e-1200.0 %
PassConstant-power 1/n-octave kernel (closed form)1/3-octave smoothed line level = P*df/(f0*(2^(1/6)-2^(-1/6)))0.0215920.021592±1e-7%00.0 %
PassPercival & Walden1993Table 382Slepian taper concentration lambda_14(31, 8/31), quadruple-precision table0.929438220820.92943822082±0.00000000000100.0 %
PassPercival & Walden1993Section 7.2 / Eq. (333)Multitaper white-noise density = sigma^2/(fs/2), NW=4, K=7 tapers0.0009770.000963±3%-0.00001448 %
PassPercival & Walden1993Eq. (369a) tone calibrationMultitaper 'spectrum' scaling reads a sinusoid peak at A^2/24.54.500003±0.01%0.0000030.7 %
PassPercival & Walden1993Eq. (370b)Adaptive multitaper dof -> 2K on white noise (weights -> uniform)1413.9847±2%-0.01535.5 %
Multiple-input coherence (Bendat & Piersol)5/5
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassBendat & Piersol, Random Data4eProblem 7.2 / Eqs. (7.86)/(7.94)Conditioned coherent output of the 2nd input abs(G2y.1)^2/G22.1 = 4/3 exactly1.3333333331.333333333±1.00e-1200.0 %
PassBendat & Piersol, Random Data4eProblem 7.2 / Eqs. (7.87)/(7.116)Partial coherence gamma^2_2y.1 = 2/15 and multiple coherence = 0.70.70.7±1.00e-1200.0 %
PassBendat & Piersol, Random Data4eEq. (7.35) with Eqs. (6.40)/(6.41)Multiple coherence of a known-SNR system: gamma^2_{y:x} = SNR/(1+SNR)0.88890.8913±0.030.00248.0 %
PassBendat & Piersol, Random Data4eEq. (7.117)Uncorrelated inputs: multiple coherence = sum of ordinary coherences0-0.0098±0.02-0.009849 %
PassBendat & Piersol, Random Data4eEqs. (7.88)/(7.121)Output-power decomposition Gyy = sum of Gvi + Gnn (exact)00±0.00000000000100.0 %
Time-frequency analysis (Bendat & Piersol)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassBendat & Piersol, Random Data4eEq. (12.173)Spectrogram of an on-bin tone reads its mean square A^2/2 in every column22±1e-7%00.0 %
PassParseval + COLA identity (Hann taper, 75% overlap)Time-integrated STFT power = time-domain energy of an interior burst0.2361510.236151±1e-10%00.0 %
PassBendat & Piersol, Random Data4eEqs. (11.128)-(11.130)Zoom FFT tone amplitude = demodulate-decimate-DFT chain, machine precision0.70.7±1e-10%00.0 %
Correlation, time delay and envelope (B&P / Knapp & Carter)7/7
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassBendat & Piersol, Random Data4eEq. (5.21)Cross-correlation peak of a 16-sample pure delay, samples1616±0.001-0.000005040.5 %
PassKnapp & Carter1976Table I (PHAT) + sub-sample interpolationGCC-PHAT estimate of an exact 12.25-sample fractional delay, samples12.2512.2483±0.005-0.001734 %
PassBendat & Piersol, Random Data4eEq. (5.101)Cross-spectrum phase-slope estimate of the same fractional delay12.2512.2498±0.001-0.000220 %
PassBendat & Piersol, Random Data4eEq. (8.120)BLWN autocorrelation coefficient at 3 samples vs sin(2piBt)/(2piBt)-0.1559-0.1666±0.02-0.010753 %
PassBendat & Piersol, Random Data4eExample 8.5Random error of the correlation peak: B=100 Hz, T=5 s, M/S=N/S=100.350.3493±0.001-0.000770 %
PassBendat & Piersol, Random Data4eTable 13.1Hilbert transform of cos recovers sin: max interior error06.16e-11±1.00e-96.16e-116.2 %
PassBendat & Piersol, Random Data4eEq. (13.27)Envelope of an AM waveform recovers 1 + m*cos(2pi*fm*t) exactly01.23e-12±1.00e-91.23e-120.1 %
Cepstrum, liftering and envelope spectrum (Havelock / B&P)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassHavelock2008Ch. 27 Fig. 21 + Mercator series of ln(1+a*e^{-j*theta})Power-cepstrum height at the echo delay = reflection coefficient a0.40.4±1.00e-1000.0 %
PassHavelock2008Ch. 87 Eq. (14): complex cepstrum, series term n = 2Second rahmonic of a reflection a = 0.4 equals -a^2/2-0.08-0.08±1.00e-1000.0 %
PassBendat & Piersol, Random Data4eSec. 13.3 (Fig. 13.11)Envelope-spectrum line of an AM tone (A0 = 2, m = 0.35) at fm0.70.7±0.00200.0 %
Time synchronous averaging (McFadden 1987)5/5
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassMcFadden1987Eq. 8 / Eq. 9: comb filter \|C(f)\| at a harmonic k/TComb-filter tooth height at a harmonic equals unity (any N)11±1.00e-1000.0 %
PassMcFadden1987Eq. 8: comb filter one quarter-order from a tooth, N = 2Comb-filter magnitude = 1/sqrt(2) at order 0.250.707106780.70710678±1.00e-1000.0 %
PassMcFadden1987Sec. 4 (Fig. 5): node selection, tone at 32.05 ordersN = 20 places a comb node on 32.05 orders (\|C\| = 0), not the power-of-2 N = 3200±0.000000000100.0 %
PassMcFadden1987Eq. 5: exact recovery, integer samples per periodNoiseless periodic waveform (M = 256) recovered to machine precision00±0.000000000100.0 %
PassMcFadden1987Sec. 1: asynchronous-noise variance reduced by 1/NResidual noise std of the average falls as sigma/sqrt(N), N = 640.1250.12414±15%-0.000864.6 %
Data qualification and Rice statistics (Bendat & Piersol)8/8
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassBendat & Piersol, Random Data4eExample 4.4Reverse arrangements of the 20-observation sequence8686±000.0 %
PassBendat & Piersol, Random Data4eTable A.6Lower percentage point A(20; 0.975) at alpha = 0.056464±000.0 %
PassBendat & Piersol, Random Data4eTable A.6Upper percentage point A(20; 0.025) at alpha = 0.05125125±000.0 %
PassWald & Wolfowitz1940exact run distributionRuns acceptance region for n1 = n2 = 10, alpha = 0.05: lower point66±000.0 %
PassWald & Wolfowitz1940exact run distributionRuns acceptance region for n1 = n2 = 10, alpha = 0.05: upper point1515±000.0 %
PassBendat & Piersol, Random Data4eExample 5.13 / Eq. (5.195)Zero-crossing rate of bandlimited noise (fc = 1 kHz, B = 400 Hz)20132013±1%-0.5512.7 %
PassBendat & Piersol, Random Data4eExample 5.12Apparent frequency of low-pass noise (B = 2 kHz) = 0.577 B11551159±1%3.91134 %
PassBendat & Piersol, Random Data4eExample 5.14 / Eq. (5.206)Prob[positive peak > 4 sigma] of a narrow bandwidth record0.0003350.000334±0.00001-0.00000110.0 %
Underwater acoustics (ISO 18405/17208/18406)6/6
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 184052017corroborated byISO 18406Formula 7Sound pressure level of a synthetic tone, dB re 1 µPa123.0103123.0103±0.000100.0 %
PassISO 184052017corroborated byISO 18406Formulae 3-4Sound exposure level of a 2 s tone, dB re 1 µPa²·s120120±0.00100.0 %
PassISO 184062017(6.4.2.1.3)Peak sound pressure level of a known waveform, dB re 1 µPa129.5424129.5424±0.000100.0 %
PassISO 17208-12016Radiated noise level from RMS pressure and distance, dB re 1 µPa·m46.020646.0206±0.000100.0 %
PassISO 17208-22019(Formula 3)Lloyd's-mirror surface correction ΔL at a known k·d_s-3.5211-3.5211±0.000100.0 %
PassISO 184062017(Formulae 8-9)Cumulative SEL of N identical strikes = SEL_ss + 10·lg(N)196.9897196.9897±0.0000010000.0 %
Underwater sound propagation (propagation loss)16/16
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassMackenzie(1981)nine-term equationSpeed of sound at 25 °C, 35 ‰, 1000 m (canonical check value), m/s1550.744 m/s1550.744 m/s±0.01 m/s0.0000275 m/s0.3 %
PassUNESCO/Chen-Millerocompared withMackenzieSound-speed agreement at 10 °C, 35 ‰, 1000 m (cross-model), m/s1506.264 m/s1506.524 m/s±1 m/s0.261 m/s26 %
PassDel Grosso(1974)compared withMackenzieSound-speed agreement at 10 °C, 35 ‰, 1000 m (cross-model), m/s1506.264 m/s1506.313 m/s±1 m/s0.049 m/s4.9 %
PassSpherical spreading 20·lg(R)Geometrical spreading loss at R = 1000 m, dB60 dB60 dB±1.00e-9 dB0 dB0.0 %
PassThorp(1967)absorptionVolume absorption α at 10 kHz (cold deep water), dB/km1.1498 dB/km1.1498 dB/km±0.00000100 dB/km0 dB/km0.0 %
PassAinslie-McColm(1998)compared withFrancois-Garrison(1982)Absorption agreement at 10 kHz, 10 °C, 35 ‰, 0 m, pH 8, dB/km0.9626 dB/km0.9866 dB/km±0.0963 dB/km0.0239 dB/km25 %
PassFrancois-Garrison(1982)Part II Table IVAbsorption α at 100 kHz, 10 °C, 35 ‰, 0 m, pH 8 (printed value), dB/km33.6 dB/km33.63 dB/km±0.05 dB/km0.03 dB/km60 %
PassDel Grosso refit (Wong-Zhu 1995 Table IV)c(t90 = 20 °C, S = 35, P = 500 bar) vs the printed check table, m/s1603.679 m/s1603.679 m/s±0.001 m/s0.000444 m/s44 %
PassWales-Heitmeyer(2002)ensemble spectrumMerchant-ship source PSD at 100 Hz (printed equation), dB re 1 µPa²/Hz158.45 dB158.45 dB±0.001 dB0.0000117 dB1.2 %
PassPassive sonar equation (Urick/Etter)Figure of merit SL − (NL − DI) − DT, dB85 dB85 dB±1.00e-9 dB0 dB0.0 %
PassSeabed reflection (Rayleigh, normal incidence)Bottom loss at 90° grazing, sand ρ=1900 c=1650 over water, dB9.0506 dB9.0506 dB±0.00000100 dB0 dB0.0 %
PassWenz wind noise (rule of fives)Wind spectrum level at 1 kHz, 5 kn (canonical anchor), dB re 1 µPa²/Hz51.0206 dB51.0206 dB±0.0001 dB-8.67e-8 dB0.1 %
PassMellen thermal noiseThermal spectrum level at 50 kHz, 16.85 °C (physical), dB re 1 µPa²/Hz19.3426 dB19.3426 dB±0.00000100 dB0 dB0.0 %
PassJOMOPANS-ECHO ship source levelBulker V=13.5 kn L=211 m band level at 1 kHz (File S1 oracle), dB re 1 µPa m161.394 dB161.394 dB±0.01 dB-0.000290 dB2.9 %
PassUNESCOsound speed (EOS-80 canonical value)SVEL(S = 40, T68 = 40 °C, P = 1000 bar) vs Fofonoff & Millard 1983, m/s1731.995 m/s1732.004 m/s±0.02 m/s0.009 m/s45 %
PassMedwin(1975)sound speedalso namesAinslieEqs. 1.2-1.4∂c/∂T at 10 °C, neglecting the bracketed terms, m/s per °C3.5 m/s per °C3.5 m/s per °C±0.001 m/s per °C-8.03e-9 m/s per °C0.0 %
Underwater propagation regimes (Weston flux theory)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassAinslie(2010)Table 9.1, medium sandReflection loss gradient η from Equation (9.51), Np/rad0.28 Np/rad0.278 Np/rad±0.005 Np/rad-0.002 Np/rad40 %
PassAinslie(2010)Table 9.1, mudReflection loss gradient η from Equation (9.53) at 1 Hz, Np/rad0.021 Np/rad0.02073 Np/rad±0.0005 Np/rad-0.00027 Np/rad54 %
PassWeston cylindrical spreading vs normal modesRange-averaged PL in an ideal 100 m waveguide at 100 Hz, 20-30 km, dB58.949 dB58.399 dB±1 dB-0.55 dB55 %
Marine-mammal auditory weighting (NMFS / Southall)4/4
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassNMFS(2018)Appendix D worked exampleWeighting factor adjustment W(1 kHz) for high-frequency cetaceans, dB-37.55 dB-37.545 dB±0.01 dB0.005 dB50 %
PassNMFS(2024)v3.0 Table 5, otariid CC recomputed as the peak of W(f) for the OW row (printed 1.37, corrected 1.36), dB1.3643 dB1.3643 dB±0.0005 dB-0.0000114 dB2.3 %
PassAinslie(2010)Equation (11.159), orca audiogramHearing threshold at 50 kHz (third branch), dB re 1 µPa51.2 dB51.199 dB±0.05 dB-0.001 dB2.0 %
PassAinslie(2010)§11.4.6, orca versus salmonNoise-limited figure of merit (SL + TS − NL + AG − DT)/2, dB re m²51 dB51 dB±0.00000100 dB0 dB0.0 %
Underwater numerical propagation (modes / rays / PE)5/5
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassNormal modes vs ideal waveguideFundamental horizontal wavenumber kr1 at 20 Hz, 100 m (analytic), rad/m0.077662 rad/m0.077662 rad/m±0.0001 rad/m8.19e-9 rad/m0.0 %
PassNormal modes vs image-source oracleAbsolute PL at 1 km in the ideal waveguide (converged image sum), dB48.238 dB48.239 dB±0.02 dB0.001 dB5.0 %
PassRay tracing vs linear gradientTurning depth of a 10° ray, c = 1500 + 0.05z (circular arc), m462.8 m462.8 m±1 m-4.74e-7 m0.0 %
PassRay travel time vs iso-gradient closed formTravel time of a 10° ray at 10 km, c = 1500 + 0.05z (Medwin & Clay Eq. 3.3.20), s6.625942 s6.625942 s±0.000001 s0 s0.0 %
PassParabolic equation vs free fieldPE propagation loss at 2 km, homogeneous medium (spherical spreading), dB66.021 dB66.021 dB±0.1 dB0.0000140 dB0.0 %
Sonar processing gain and detection (Ainslie 2010)4/4
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassAinslie(2010)Sect. 6.1.2.1, printed folio 267Line-array DI at broadside, high-frequency limit 10 log10(2L/lambda), dB23.01 dB23.015 dB±0.01 dB0.004 dB40 %
PassAinslie(2010)Sect. 6.1.2.1, printed folio 267Line-array DI at endfire, where the footprint halves: 10 log10(4L/lambda), dB26.021 dB26.023 dB±0.01 dB0.002 dB20 %
PassAinslie(2010)Eq. (11.20), Fig. 11.1Unsteered DI vs the book's own approximation 1 + G0 tanh(pi^2 G0/36) at 2L/lambda = 2013.22 dB13.05 dB±0.5 dB-0.168 dB34 %
PassAinslie(2010)Eq. (11.22), printed folio 581Detection threshold at 50 % detection probability, p_fa = 1e-4, dB10.0947 dB10.0947 dB±1.00e-9 dB0 dB0.0 %
Aircraft noise (ICAO Annex 16 / IEC 61265)18/18
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassECAC Doc 29noise fraction (half path)Finite-segment correction ΔF for a perpendicular foot at the segment start, dB-3.0103 dB-3.0103 dB±0.001 dB-0.00000184 dB0.2 %
PassECAC Doc 29single-event chainSEL of a long level flyover vs the infinite-path limit LE∞ + ΔI − Λ, dB83.444 dB83.444 dB±0.01 dB-6.57e-8 dB0.0 %
PassECAC Doc 29impedance adjustment (standard atmosphere)Acoustic-impedance adjustment of NPD data at 15 °C / 101.325 kPa (Eq. 4-6/4-7), dB0.074 dB0.0741 dB±0.0005 dB0.0001 dB20 %
PassECAC Doc 29reference workbook (segment Λ)Lateral attenuation of a climbing segment vs the ECAC Vol 3 Part 1 workbook, dB6.3769 dB6.3769 dB±0.01 dB3.81e-11 dB0.0 %
PassECAC Doc 29start-of-roll directivity (jet)ΔSOR behind a takeoff ground-roll segment vs the Vol 3 Part 1 workbook, dB0.3196 dB0.3196 dB±0.01 dB-0.0000272 dB0.3 %
PassECAC Doc 29start-of-roll directivity (turboprop)ΔSOR behind a takeoff ground-roll segment (turboprop, Eq. 4-24b), dB1.0943 dB1.0944 dB±0.01 dB0.0001 dB1.0 %
PassECAC Doc 29workbook event assembly (JETFDS/R03, behind SOR)Energy sum of the reference per-segment SELs vs the B-1 event total, dB74.73 dB74.733 dB±0.01 dB0.003 dB30 %
PassSAE ARP 5534low branch at the split (Eq. 7)SAE-Method δ_B just below δ_t = 150 dB vs the printed Eq. 8 value there, dB123.95 dB123.953 dB±0.01 dB0.003 dB30 %
PassSAE ARP 5534high branch at the split (Eq. 8)SAE-Method δ_B just above δ_t = 150 dB vs the printed Eq. 7 value there, dB123.953 dB123.95 dB±0.01 dB-0.003 dB30 %
PassEASA ANPdatabase round-tripInterpolated NPD level at a tabulated node vs the published ANP value, dB98.8 dB98.8 dB±1.00e-9 dB0 dB0.0 %
PassECAC Doc 29NPD interpolationLog-linear NPD level at the log-midpoint distance (Eq. 4-4), dB97 dB97 dB±1.00e-9 dB0 dB0.0 %
PassSAE ARP 5534pure-tone coefficientalso namesISO 9613-1Mid-band α at 1 kHz, 25 °C, 70 % RH, 101.325 kPa, dB/m0.006186 dB/m0.006186 dB/m±1.00e-9 dB/m0 dB/m0.0 %
PassICAO Annex 16Vol. I App. 2 Table A2-3Perceived noisiness at SPL(b), 1 kHz band, in noys11±0.0000010000.0 %
PassICAO Doc 9501ETM Vol. I Table 3-7Tone correction of the turbofan example, dB22±0.0000010000.0 %
PassICAO Doc 9501ETM Vol. I Table 4-4Integrated-method reference EPNL, EPNdB92.619 EPNdB92.619 EPNdB±0.01 EPNdB0.00000142 EPNdB0.0 %
PassIEC 612651995Table 1Directional-response tolerance at 4 kHz / 90°, dB2 dB2 dB±1.00e-9 dB0 dB0.0 %
PassECAC Doc 29Appendix B take-off ground rollEquivalent take-off distance of reference case 6 (Eq. B-15/B-16), ft4897.5 ft4897.5 ft±0.1 ft0.036 ft72 %
PassECAC Doc 29Appendix B approach thrustCorrected net thrust at the top of reference case 2A (Eq. B-40/B-48), lb533.1 lb533.1 lb±0.1 lb0.035 lb70 %
Rotorcraft noise (ECAC Doc 32 / NORAH2)14/14
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassECAC Doc 32atmospheric attenuation (Table 4)ΔLa over a 1 km excess path at 1 kHz vs the NORAH2 guidance Table 4, dB6.3 dB6.186 dB±0.2 dB-0.114 dB57 %
PassECAC Doc 32spherical spreadingΔLs at ten times the 60 m hemisphere reference distance (Eq. 24), dB-20 dB-20 dB±1.00e-9 dB0 dB0.0 %
PassECAC Doc 32ground effect (rigid limit)ΔLg over a rigid surface at grazing incidence tends to +6 dB (Eq. 29), dB6 dB6 dB±1 dB0.002 dB0.2 %
PassECAC Doc 32propagation chain (NORAH2 prototype)LA of a single-hemisphere emission vs the NORAH2 prototype single-event history (R22 approach, 223.66 m slant), dB(A)55.87 dBA55.886 dBA±0.1 dBA0.016 dBA16 %
PassNORAH2 guidance§A.3.5 ring derivation (constant φ)Hemisphere rim bin (φ, θ) = (+90°, 150°) vs the ring level at +150°, dB75 dB75 dB±1.00e-9 dB0 dB0.0 %
PassNORAH2 guidance§A.3.5 Table 3 (Approach 3 HOGE offset)Out-of-ground-hover minus in-ground-hover level of a derived bin, dB12 dB12 dB±1.00e-9 dB0 dB0.0 %
PassECAC Doc 32flight-condition interpolationalso namesNORAH2 guidanceEq. 8Distance-scaled triangle blend of three uniform hemispheres, hand-checked, dB97.0367 dB97.0364 dB±0.001 dB-0.0003 dB30 %
PassECAC Doc 32flight-path kinematics (Eq. 17)Airspeed of a straight climbing track, 40 m/s ground speed at a 5° path angle, m/s40.15279 m/s40.15279 m/s±0.0001 m/s0.00001 m/s10 %
PassECAC Doc 32retarded time (Eq. 22)Recorded-time delay at 100 m slant distance, r/c with c = 346.1 m/s, s0.288934 s0.288934 s±0.00001 s-1.66e-7 s1.7 %
PassECAC Doc 32single event (Eq. 27)SEL − LASmax of a constant-speed level flyover, 10·lg(π·d/V) closed form, dB7.982 dB7.942 dB±0.1 dB-0.04 dB40 %
PassNORAH2 guidancemean ground plane (Eq. 36-40)Intercept of the plane fitted to a symmetric 20 m roofline, hand-checked, m10 m10 m±0.00000100 m0 m0.0 %
PassNORAH2 guidancemean flow resistivity (Eq. 41)Log-average of equal 1e4 and 1e6 Pa·s/m2 halves, hand-checked, Pa·s/m2100000 Pa·s/m²100000 Pa·s/m²±0.00100 Pa·s/m²0 Pa·s/m²0.0 %
PassNORAH2 guidancediffraction at grazing (Eq. 42)Pure diffraction with the edge on the line of sight, 10·lg 3, dB4.7712 dB4.7712 dB±0.0001 dB0.0000125 dB13 %
PassNORAH2 guidancescreening path difference (§A.4.5)Rubber-band delta over a 40 m hill, hand-checked geometry, m4.2848 m4.2848 m±1.00e-9 m0 m0.0 %
CNOSSOS-EU road source (Directive 2002/49/EC Annex II)6/6
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassCIRCABC CNOSSOS-EUroad emission test setLine power of the 60 committed cases of the 4 875-case published test set, 8 octave bands each, dB re 1 pW/m<= 0.01 dB on 480 published band levels (60 cases)0.005 dB±0.01 dB0.005 dB50 %
PassDirective (EU) 2021/1226Annex pt (19)(a), Table F-1Rolling and propulsion coefficients, 5 categories x 4 rows x 8 bands160 coefficients identical160/160 coefficients±000.0 %
PassDirective (EU) 2021/1226Annex pt (19)(b), Table F-4Road-surface coefficients, 15 surfaces x 5 categories x (8 alpha + beta)675 stored coefficients identical675/675 stored coefficients±000.0 %
PassDirective (EU) 2015/996Appendix F, Tables F-2 and F-3Studded-tyre and junction coefficients, unchanged since 201536 coefficients identical36/36 coefficients±000.0 %
PassDirective (EU) 2015/996Annex II 2.2.4 / 2.2.11Sound power at v_ref = 70 km/h under reference conditions, dB re 1 pWexactly A_R,i,m and A_P,i,m0 dB±0 dB0 dB0.0 %
PassDirective (EU) 2021/1226Annex pt (8)(b)Octave-band A-weighting AWC_f,i prescribed by 2.5.5, dB8 values identical8/8 values±000.0 %
Wind-turbine noise (IEC 61400-11)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 61400-112012Formula 30Critical bandwidth about a 500 Hz tone, Hz117.255 Hz117.255 Hz±0.00000100 Hz0 Hz0.0 %
PassIEC 61400-112012Formula 26Apparent sound power level of a single band, dB re 1 pW148.5139 dB148.5139 dB±0.0001 dB0 dB0.0 %
PassIEC 61400-112012Formulae 31-34Tonal audibility of a synthetic clean tone, dB16.38 dB16.38 dB±0.06 dB-0.001 dB1.7 %
Road-surface influence on traffic noise (ISO 11819-1)7/7
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 11819-11997Table 1Reference speeds and weighting factors, 3 road speed categories x 3 vehicle categories x 218/18 printed cells18/18 printed cells±000.0 %
PassISO 11819-11997Table 2Expected random errors: standard deviation of individual vehicles and 95 % confidence interval around L_veh, 3 vehicle categories, dBs 1 = 1.5 dB; s 2a = 2 dB; s 2b = 2 dB; CI 1 = 0.3 dB; CI 2a = 0.7 dB; CI 2b = 0.7 dBs 1 = 1.5 dB; s 2a = 2 dB; s 2b = 2 dB; CI 1 = 0.3 dB; CI 2a = 0.7 dB; CI 2b = 0.7 dB±0 dB0 dB0.0 %
PassISO 11819-11997Annex E, regression dataL_veh of cars, dual-axle and multi-axle heavy vehicles at 80 and 70 km/h, from pass-bys on the printed regression lines, reported to one decimal, dB1 = 78.5 dB; 2a = 81.1 dB; 2b = 83.8 dB1 = 78.5 dB; 2a = 81.1 dB; 2b = 83.8 dB±0 dB0 dB0.0 %
PassISO 11819-119979.2, 9.5 and Annex ESPBI not corrected for temperature, from pass-bys on the printed regression lines through the L_veh of 9.2 to one decimal, dB79.9 dB79.946 dB±0.05 dB0.046 dB92 %
PassISO 11819-119979.5 and Annex ESPBI corrected for temperature, from the corrected L_veh Annex E prints, dB80.1 dB80.121 dB±0.05 dB0.021 dB42 %
PassISO 11819-11997clause 10 and Annex EDifference of the temperature-corrected SPBI from the 77,3 dB of the reference surface, dB2.8 dB2.821 dB±0.05 dB0.021 dB42 %
PassISO 11819-1199710.2 and Annex DL_veh of the normalized reference surface for the medium speed range, the average of the seven surfaces printed, to one decimal, dB1 = 76.4 dB; 2a = 81 dB; 2b = 84 dB1 = 76.4 dB; 2a = 81 dB; 2b = 84 dB±0 dB0 dB0.0 %
Porous & multilayer absorbers (Mechel / Bies / Cox & D'Antonio)20/20
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassBies5eApp. D Table D.1corroborated byMechel2eG.11 (2)Delany-Bazley normalised Zc at X = 0.1, real part1.32411.3241±1.00e-900.0 %
PassBies5eApp. D Table D.1corroborated byMechel2eG.11 (2)Delany-Bazley normalised Zc at X = 0.1, imaginary part-0.4694-0.4694±1.00e-900.0 %
PassMiki1990Eqs. (30)-(34)Miki normalised wavenumber at f/sigma = 0.1, real part1.45231.4523±1.00e-900.0 %
PassJohnson et al.1987corroborated byCox & D'Antonio3eEq. (6.19)JCA static viscous limit j w rho_e -> sigma, Pa s/m220000 Pa·s/m²20000 Pa·s/m²±0.01%1.31e-9 Pa·s/m²0.0 %
PassMechel2eSect. D.3 Eq. (1)Hard-backed layer: TMM vs -j Zc cot(kd), max rel deviation00±1.00e-1000.0 %
PassLossless-layer limit (Mechel 2e Sect. D.3-D.4)Air cavity over a rigid wall at lambda/4: alpha00±1.00e-1200.0 %
PassMechel2eSect. D.5Maximum statistical absorption of a locally reacting plane0.9510.951±0.0010.00022222 %
PassCox & D'Antonio3eEq. (7.9)Membrane resonance 60/sqrt(m d), m = 5 kg/m2, d = 5 cm, Hz120 Hz119.85 Hz±2%-0.15 Hz6.3 %
PassMaa1998Fig. 5corroborated byCox & D'Antonio3eFig. 7.28Microperforated panel (d=t=0.2 mm, b=2.5 mm, D=6 cm): peak alpha0.950.956±0.050.00612 %
PassMaa1998Eqs. (5a)/(10)MPP peak absorption vs 4r/(1+r)^2 with Maa's printed resistance4r/(1+r)^2 = 0.9490.956±0.020.00735 %
PassAllard & Atalla2eSect. 11.3.4 (Eq. 6.90), Table 6.1 glass woolZwikker-Kosten decoupling frequency Fd, Hz43.27 Hz43.271 Hz±0.005 Hz0.001 Hz20 %
PassAllard & Atalla2eEq. (11.55), printed p. 253 (prose limit)Limp effective density at DC = apparent total density rho_t, kg/m331.1809 kg/m³31.1809 kg/m³±0.01%-1.72e-11 kg/m³0.0 %
PassAllard & Atalla2eEq. (11.55), printed p. 253 (prose limit)Heavy frame recovers the rigid-frame Zc (relative deviation)03.98e-11±0.000013.98e-110.0 %
PassAllard & Atalla2eprinted p. 254also namesDoutres et al.2007Limp-frame bulk-modulus limit for air, kPa20 kPa20.27 kPa±0.3 kPa0.265 kPa88 %
PassAllard & Atalla2eEq. (6.110), Table 6.1 glass woolFrame lambda/4 resonance of a 10 cm layer, Hz459.9 Hz459.93 Hz±0.05 Hz0.033 Hz66 %
PassAllard & Atalla2eSect. 6.5.4 (Biot model output), pp. 124-125Airborne compressional branch changes root at 495 Hz495 Hz495.9 Hz±1%0.9 Hz18 %
PassAllard & Atalla2eSect. 6.5.4 (Biot model output), pp. 124-125Frame-borne velocity ratio Re(mu_b) at 1500 Hz (see ERRATA)0.820.811±2%-0.00955 %
PassAllard & Atalla2eSect. 6.6.3 (Biot model output), p. 129Surface-impedance peak of a 5,6 cm layer, Hz860 Hz863.5 Hz±2%3.5 Hz20 %
PassAllard & Atalla2eSect. 11.3.4 (rigid-frame limit)Stiff, heavy frame recovers the JCA layer (max rel deviation)00.0000000034±0.00000010.00000000343.4 %
PassAllard & Atalla2eEq. (6.107) vs Sect. 11.5 assemblyTwo independent derivations of Zs (max rel deviation)00±0.000000000100.0 %
Slow-sound perfect absorbers (Jimenez et al. Appl. Sci. 2017)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassJimenez et al. Appl. Sci.2017Eq. (9)Critical coupling: alpha at the design frequency (300 Hz, normal)11±0.00100.0 %
PassPoiseuille limit (Stinson 1991)Slit: j w rho_s -> 12 eta / h^2 as w -> 0 (h = 1.2 mm)153.3 Pa·s/m²153.3 Pa·s/m²±0.1%6.41e-7 Pa·s/m²0.0 %
PassPoiseuille limit (Stinson 1991)Square duct: j w rho -> 28.454 eta / w^2 as w -> 0 (w = 3 mm)58.2 Pa·s/m²58.2 Pa·s/m²±0.2%0.000409 Pa·s/m²0.4 %
Program loudness (ITU-R BS.1770 / EBU R 128)8/8
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassITU-R BS.1770-5Annex 1997 Hz sine at 0 dB FS on the left channel, LKFS-3.01 LKFS-3.01 LKFS±0.01 LKFS-0.000280 LKFS2.8 %
PassEBU Tech 33412023Table 1 case 1Integrated loudness of the -23 dBFS stereo sine, LUFS-23 LUFS-22.99 LUFS±0.1 LUFS0.007 LUFS7.0 %
PassEBU Tech 33412023Table 1 case 5Gated integrated loudness of the -26/-20/-26 dBFS steps, LUFS-23 LUFS-22.98 LUFS±0.1 LUFS0.021 LUFS21 %
PassEBU Tech 33412023Table 1 case 6Integrated loudness of the 5.0-channel sine (Table 3 weights), LUFS-23 LUFS-23.02 LUFS±0.1 LUFS-0.016 LUFS16 %
PassEBU Tech 33412023Table 1 case 15True-peak level of the fs/4 sine at 0.5 FFS, dBTP-6 dBTP (+0.2/-0.4 dB)-6.02 dBTP[-0.4, 0.2] dBTP-0.015 dBTP28 %
PassEBU Tech 33412023Table 1 case 19True-peak level of the fs/4 sine at 1.41 FFS, dBTP3 dBTP (+0.2/-0.4 dB)3 dBTP[-0.4, 0.2] dBTP0.001 dBTP34 %
PassEBU Tech 33422023Table 1 case 1Loudness range of the -20/-30 dBFS tone steps, LU10 LU10 LU±1 LU-3.17e-10 LU0.0 %
PassEBU Tech 33422023Table 1 case 3Loudness range of the -40/-20 dBFS tone steps, LU20 LU20 LU±1 LU2.39e-11 LU0.0 %
Quasi-peak meter (ITU-R BS.468-4)12/12
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassITU-R BS.468-4Table 2Single 1 ms 5 kHz burst (5 periods), % of the steady reading13.5 to 21.4 %16.85 %-+1.928 dB-
PassITU-R BS.468-4Table 2Single 2 ms 5 kHz burst (10 periods), % of the steady reading22.4 to 31.6 %26.72 %-+1.458 dB-
PassITU-R BS.468-4Table 2Single 5 ms 5 kHz burst (25 periods), % of the steady reading34 to 46 %40.29 %-+1.151 dB-
PassITU-R BS.468-4Table 2Single 10 ms 5 kHz burst (50 periods), % of the steady reading41 to 55 %47.73 %-+1.231 dB-
PassITU-R BS.468-4Table 2Single 20 ms 5 kHz burst (100 periods), % of the steady reading44 to 60 %52.58 %-+1.146 dB-
PassITU-R BS.468-4Table 2Single 50 ms 5 kHz burst (250 periods), % of the steady reading50 to 68 %58.78 %-+1.266 dB-
PassITU-R BS.468-4Table 2Single 100 ms 5 kHz burst (500 periods), % of the steady reading58 to 78 %66.98 %-+1.251 dB-
PassITU-R BS.468-4Table 2Single 200 ms 5 kHz burst (1000 periods), % of the steady reading68 to 92 %80.41 %-+1.170 dB-
PassITU-R BS.468-4Table 35 ms 5 kHz bursts at 2 per second, % of the steady reading43 to 53 %48.11 %-+0.840 dB-
PassITU-R BS.468-4Table 35 ms 5 kHz bursts at 10 per second, % of the steady reading72 to 82 %75.70 %-+0.435 dB-
PassITU-R BS.468-4Table 35 ms 5 kHz bursts at 100 per second, % of the steady reading94 to 100 %97.11 %-+0.255 dB-
PassITU-R BS.468-4clause 2.6Steady 1 kHz sine at 0.775 V r.m.s., dBqps0 dBqps0 dBqps±0.000001 dBqps0 dBqps0.0 %
Broadcast Wave metadata (EBU Tech 3285 / ITU-R BS.2088)14/14
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassEBU Tech 32852011(2.3)bext fixed part: every field at its cumulative offset, 602 bytes15 fields byte-identical at offsets 0..422, fixed part 602 B15/15 byte-identical, 602 B + CodingHistory---
PassEBU Tech 32852011(2.3)bext round trip: written metadata returns identically through the reader13 fields identical, CodingHistory extended13/13 identical, history extended---
PassEBU Tech 32852011(2.4)Loudness int16 = 100 x value, ties away from zero: negative examples-22.644 -> F728h (-2264), -22.645 -> F727h (-2265), -22.646 -> F727h (-2265)F728h (-2264), F727h (-2265), F727h (-2265)---
PassEBU Tech 32852011(2.4)Loudness int16 = 100 x value, ties away from zero: positive examples12.764 -> 04FCh (1276), 12.765 -> 04FDh (1277), 12.766 -> 04FDh (1277)04FCh (1276), 04FDh (1277), 04FDh (1277)---
PassEBU Tech 32852011(2.4)Unused loudness parameters: 7FFFh on disk, None through the reader7FFFh x 5 on disk; None x 5 reread7FFFh, 7FFFh, 7FFFh, 7FFFh, 7FFFh; None x 5---
PassEBU Tech 32852011(2.4)Out-of-range loudness clamps to 7FFEh/8000h, never the 7FFFh sentinel327.9 -> 7FFEh (not the sentinel); -inf -> 8000h7FFEh; 8000h---
PassEBU Tech 32852011(2.3)TimeReference: 64-bit first-sample count split low/high at 338/342low 370632704 @ 338, high 1 @ 342 (13:30:00 at 96 kHz = 4665600000 samples)low 370632704, high 1 -> 4665600000 samples, reread equal---
PassEBU Tech 32852011(2.3): CodingHistory rowread viaEBU R 98Appendix 1Appended row is A=PCM,F=48000,W=16,M=stereo,T=... + CR/LF (Example 1)A=PCM,F=48000,W=16,M=stereo,T=(free text, no commas) + CR/LFA=PCM,F=48000,W=16,M=stereo,T=(free text) + CR/LF---
PassEBU Tech 32852011(2.3): CodingHistory rowread viaEBU R 98Appendix 1Prior coding row preserved verbatim, new row added beneath it2 rows: Example 2's A/D row intact above, the writer's beneath2 rows, prior row byte-identical---
PassEBU Tech 32852011(1.1/2.3)UMID exists from v1 (64 of the 254 reserved bytes): v0 refused, v1 at 348v0+UMID refused; v1: Version=0001h, UMID verbatim at 348v0 refused; v1: Version=0001h, UMID verbatim---
PassEBU Tech 32852011(1.1/2.3)Loudness exists from v2 (10 of the 190 reserved bytes): v1 refused/zeroedv1+loudness refused; v1 writes 10 zero bytes, reads None; v2 carriesv1 refused; bytes zeroed, None reread, v2 carries---
PassITU-R BS.2088-2Annex 1 (4.1/4.2)ds64 first after WAVE: bw64Size/dataSize u64 pairs at 0/8, table at 24ds64 first, >= 28 B: riffSize 24883200072, dataSize 24883200000, tableLength 0ds64 @ 12, 28 B: riffSize 24883200072, dataSize 24883200000, tableLength 0---
PassITU-R BS.2088-2Annex 1 (3.2/2.4)Promoted header: FFFFFFFFh sentinel in the outer and data size fieldsouter size = data size = FFFFFFFFh, form type WAVEouter FFFFFFFFh, data FFFFFFFFh, WAVE---
PassITU-R BS.2088-2Annex 1 (2.4/3.1)Reader resolves the data size through ds64; BW64 and RF64 fourccs alikeRF64: 48 frames, BW64: 48 frames (via ds64 dataSize = 96 B)RF64 read as RF64, 48 frames; BW64 read as BW64, 48 frames---
2D FDTD wave simulation (Attenborough & Van Renterghem 2021, Ch. 4)4/4
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassRigid rectangular box eigenfrequencyMode (1,1) of a 1.0 x 0.7 m rigid box, f = (c/2)*sqrt(1/lx^2 + 1/ly^2), Hz299.06 Hz298.91 Hz±1.5 Hz-0.153 Hz10 %
PassFree-field pulse arrival delayProbe-to-probe delay of a pulse over 0.6 m of air, (r2 - r1)/c, ms1.749 ms1.756 ms±0.05 ms0.007 ms14 %
Pass2D Kirchhoff-Helmholtz NTFF: monopole directivityFar-field pattern ripple of an enclosed line source, dB0 dB0.044 dB±0.2 dB0.044 dB22 %
Pass2D Kirchhoff-Helmholtz NTFF: monopole levelNTFF far-field level vs the 2D Green function A sqrt(2/(pi k)), dB0 dB0.106 dB±0.3 dB0.106 dB35 %
Swept-sine distortion & phase utilities (Farina / Novak)7/7
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassFarina2000corroborated byNovak et al.2015(Chebyshev identity)3rd-harmonic response H3 magnitude of a cubic polynomial, re a3/40.050.05001±0.00050.000012.0 %
PassNovak et al.2015JAES 63(10), Eqs. 18/49Synchronized-sweep phase of H3 (Chebyshev: -sin(3wt)), rad3.1416 rad3.1411 rad±0.005 rad-0.0005 rad10 %
PassFarina2000AES 108th Conv. (THD from one sweep)THD(1 kHz) of the polynomial vs sqrt((a2/2)^2+(a3/4)^2)/(1+3a3/4)0.061490.06159±0.0010.000110 %
PassFarina2000(distortion rejected from the linear IR)THD floor of a purely linear path (gain 0.5), max over 100-2000 Hz00.00033±0.0010.0003333 %
PassBendat & Piersol, Random Data4eSec. 13.1.4 (Hilbert relation)Min-phase reconstruction of a strictly min-phase biquad, max err, rad0 rad0 rad±1.00e-9 rad0 rad0.0 %
PassFirst-order allpass closed form (1-a^2)/(1+2a cos w+a^2)Group delay of the a = 0.5 allpass at w = pi/2, samples0.60.6±0.000017.53e-80.8 %
PassAll-pass decomposition of a pure latency (B&P Sec. 13.1.4)Excess group delay of a biquad delayed 7.25 samples, samples7.257.25±0.0000010000.0 %
Spherical ground & barriers (Attenborough / Salomons / Bies)7/7
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassAttenborough2eEq. (2.40c) (spherical Q, hard-ground limit)abs(Q) as Z grows large (Rp -> 1 so (1 - Rp) -> 0 and Q -> 1)11±0.000001-2.82e-110.0 %
PassSalomons2001Sec. 3.4 (two-ray field over a rigid ground)dL enhancement at small path difference (constructive, +6 dB)6.0206 dB6.0205 dB±0.1 dB-0.0001 dB0.1 %
PassSalomons2001Eq. (D.59) (plane-wave Rp, grazing incidence)Re(Rp) at grazing (hs, hr -> 0, cos(theta) -> 0 so Rp -> -1)-1-1±0.0010.00004804.8 %
PassSalomons2001Fig. D.3 (grassland ground dip, sigma = 200 kPa s/m2)Minimum dL for hs = hr = 2 m, r = 100 m (dip near 395 Hz), dB-12.7 dB-12.72 dB±0.3 dB-0.022 dB7.3 %
PassBies5eEq. (5.138) (Kurze-Anderson, N -> 0)Barrier attenuation at the shadow boundary N = 05 dB5 dB±1.00e-9 dB0 dB0.0 %
PassBies5eEq. (5.138) (Kurze-Anderson, large-N slope)Delta(N=10) - Delta(N=1) vs the 10 lg(10) = 10 dB decade growth10 dB9.8845 dB±0.5 dB-0.1155 dB23 %
PassAttenborough2eEqs. (9.19)-(9.20) (rigid half-plane, shadow boundary)Exact thin-screen insertion loss at grazing (field halved, 6 dB)6.0206 dB5.7932 dB±0.6 dB-0.2274 dB38 %
Road traffic noise reducing devices (EN 1793)7/7
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassEN 1793-31997Table 1 (normalised traffic noise spectrum)the eighteen printed levels, 100 Hz to 5 kHz100 Hz = -20 dB; 1 kHz = -8 dB; 5 kHz = -18 dB100 Hz = -20 dB; 1 kHz = -8 dB; 5 kHz = -18 dB±0 dB0 dB0.0 %
PassEN 1793-12012Clause 5 (DLalpha, constant absorption)a device absorbing 0,50 in every band rates -10 lg(1 - 0,50)3.0103 dB3.0103 dB±0.0001 dB-4.34e-8 dB0.0 %
PassEN 1793-12012Clause 5 (DLalpha, the 0,99 ratio limit)a perfect absorber is capped at -10 lg(1 - 0,99) = 20 dB20 dB20 dB±1.00e-9 dB0 dB0.0 %
PassEN 1793-12012Table A.1 (categories of absorptive performance)the four boundaries A2/A3/A4/A5 read off the reported integer4 dB -> A2, 8 dB -> A3, 12 dB -> A4, 16 dB -> A54 dB -> A2, 8 dB -> A3, 12 dB -> A4, 16 dB -> A5-0-
PassEN 1793-22012Clause 5.2 (DLR, constant sound reduction index)a wall with R = 32 dB in every band rates 32 dB32 dB32 dB±1.00e-9 dB0 dB0.0 %
PassEN 1793-22012Clause 5.2 (DLR, spectrum weighting)one 10 dB band costs more at the 1 kHz peak than at the 100 Hz endDLR(weak at 1 kHz) < DLR(weak at 100 Hz)18.14 dB < 29.73 dB--11.60 dB-
PassEN 1793-22012Table A.1 (categories of airborne sound insulation)the three boundaries B2/B3/B4 read off the reported integer15 dB -> B2, 25 dB -> B3, 35 dB -> B415 dB -> B2, 25 dB -> B3, 35 dB -> B4-0-
Railway noise reducing devices (EN 16272)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassEN 16272-3-12012Table 1 (normalised railway noise spectrum)the printed levels at the ends and on the plateau100 Hz = -27 dB; 2 kHz = -9 dB; 5 kHz = -17 dB100 Hz = -27 dB; 2 kHz = -9 dB; 5 kHz = -17 dB±0 dB0 dB0.0 %
PassEN 16272-3-12012Clause 6 (DLR on the railway spectrum)a wall with R = 26 dB in every band rates 26 dB26 dB26 dB±1.00e-9 dB0 dB0.0 %
PassEN 16272-3-12012Clause 5 (DLalpha on the railway spectrum)the same absorber rates higher against rolling noise than against a roadDLalpha(railway) > DLalpha(road)4.77 dB > 3.95 dB-+0.82 dB-
Panel & aperture sound insulation (Bies / Hopkins / Cremer)17/17
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassBies5eEq. 7.40 (mass law)6 dB per octave (500 -> 1000 Hz)6.0206 dB6.02 dB±0.01 dB-0.0006 dB6.0 %
PassBies5eEq. 7.40 (mass law)6 dB per doubling of mass6.0206 dB6.02 dB±0.01 dB-0.0006 dB6.0 %
PassBies5eEq. 7.42 (field incidence)One-third-octave correction 5.5 dB5.5 dB5.5 dB±0.001 dB0 dB0.0 %
PassHopkinsEq. 2.201corroborated byBiesEq. 7.3Coincidence frequency, 6 mm glass2079 Hz2107.3639 Hz±3%28.3639 Hz45 %
PassCremerTable 5.1Thin-plate point impedance Z = 8 sqrt(B' m'')2529.8221 N·s/m2529.8221 N·s/m±0.00000100 N·s/m0 N·s/m0.0 %
PassCremerTable 5.1Infinite-beam mobility phase -45 deg-45 deg-45 deg±0.00000100 deg0 deg0.0 %
PassHopkinsEq. 2.229 (Leppington/Maidanik)Radiation efficiency at f = 2 fc1.41421.4142±1.00e-900.0 %
PassBiesEq. 7.62corroborated byHopkinsEq. 4.73Mass-air-mass resonance f0, empty cavity76.9484 Hz76.8521 Hz±0.5%-0.0962 Hz25 %
PassBiesEq. 7.64 (double wall)Below f0 = mass law of the combined mass11.6144 dB11.6144 dB±0.00000100 dB0 dB0.0 %
PassHopkinsEq. 4.92 (composite)1 % open area caps R at 10 lg(S/Sa)20 dB19.9996 dB±0.05 dB-0.0004 dB0.8 %
PassVigran Building AcousticsEq. (3.109), printed p. 96Flat 1 mm steel plate 1 m x 1 m, f(1,1)4.9 Hz4.93 Hz±0.05 Hz0.033 Hz66 %
PassVigranEqs. (3.113)/(3.115), printed p. 96Corrugated 1 mm steel plate (H = 10 mm, L = 100 mm), f(2,2)102 Hz102.09 Hz±0.1 Hz0.092 Hz92 %
PassBies5eEq. (7.59)corroborated byVigranEq. (6.112)Heckl coincidence-branch constant, dB (rho c = 414)-13.2 dB-13.217 dB±0.02 dB-0.017 dB85 %
PassBies5eEq. (7.60)corroborated byVigranEq. (6.112)Heckl recovery-branch constant, dB (rho c = 414)-23 dB-23.16 dB±0.2 dB-0.16 dB80 %
PassVigranEq. (6.111)corroborated byBiesEq. (7.38)Orthotropic diffuse integral below fc1 vs its exact mass-law form6.287723 dB6.287723 dB±0.000001 dB-1.40e-8 dB1.4 %
PassHopkinsTable A2, printed p. 608h.fc products of 25 building-material rows, worst deviation0 m·Hz0.0476 m·Hz±0.06 m·Hz0.0476 m·Hz79 %
PassHopkinsEq. 4.99/4.101 (Gomperts slit)Transmission maximum at first resonance1544.9615 Hz1542.9615 Hz±15 Hz-2 Hz13 %
Bending-wave plate-junction transmission (Cremer / Craik / Hopkins)6/6
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassHopkinsEq. 5.12 (identical plates)X-junction corner tau12(0 deg) = 1/80.1250.125±1.00e-900.0 %
PassHopkinsEqs 5.12 + 5.6 (identical plates)X-junction corner angular average = 1/120.08330.0833±0.0000010000.0 %
PassHopkinsEqs 5.12 + 5.6 (identical plates)L-junction corner angular average = 1/30.33330.3333±0.0000010000.0 %
PassHopkinsEq. 5.14 (identical plates)In-line junction tau12(0 deg) = 111±1.00e-900.0 %
PassHopkinsEq. 5.7 (SEA consistency)X-junction reciprocity tau_bar_12 / tau_bar_21 = chi1.51.5±0.0000010000.0 %
PassHopkinsEq. 5.116 (identical plates, fc_j = f_ref)X-junction vibration reduction index = 10 lg(12)10.7918 dB10.7918 dB±0.00000100 dB0 dB0.0 %
Atmospheric refraction (Salomons rays / GFPE)3/3
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassSalomonsSec. 4.4 (ray turning height, linear profile)Turning height of a 10 deg ray vs Rc(1 - cos theta0) (circular arc), m26.457 m26.457 m±0.1 m-3.94e-7 m0.0 %
PassSalomonsEq. (3.4) (GFPE vs spherical-wave ground effect, homogeneous)PE relative level at 500 m over grassland vs Weyl-Van der Pol, dB-16.368 dB-16.402 dB±0.5 dB-0.035 dB7.0 %
PassSalomonsEq. (3.4) (GFPE hard ground vs two-ray, homogeneous)PE relative level at 500 m over a rigid ground vs the coherent two-ray, dB5.997 dB5.593 dB±0.6 dB-0.405 dB68 %
Electroacoustics9/9
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassBeranek & Mellow2eEq. (13.117)Piston resistance R1(x) = 1 - 2 J1(x)/x at x = 2ka = 20.4232750.423275±0.000011.92e-71.9 %
PassBeranek & Mellow2eEq. (13.118)Piston reactance X1(x) = 2 H1(x)/x at x = 2ka = 20.6467640.646764±0.00001-2.72e-72.7 %
PassBeranek & Mellow2eEq. (13.117) (low-frequency limit)R1 -> (ka)^2/2 as ka -> 0 (x = 0.02, ka = 0.01)0.000050.00005±0.01%-8.33e-1017 %
PassBeranek & Mellow2eEq. (4.151)Radiation mass M = 8 rho a^3 / 3 (a = 0.1 m, rho = 1.206)0.003216 kg0.003216 kg±1.00e-9 kg0 kg0.0 %
PassBeranek & Mellow2eEq. (13.102), Table 14.1First directivity null at ka sin(theta) = 3.8317 (first zero of J1)00±0.00000100.0 %
PassBeranek & Mellow2e§4.19 (half-space baffle)Directivity index DI -> 10 lg 2 = 3.01 dB as ka -> 03.0103 dB3.0103 dB±0.001 dB2.48e-7 dB0.0 %
PassLong, Architectural Acoustics2eEq. (18.21)Omnidirectional mic at Zs = -6 dB: L(H-M) <= L(H-L) - 4 dB76 dB76 dB±1.00e-9 dB0 dB0.0 %
PassLong, Architectural Acoustics2eEq. (18.22)Cardioid mic (DM = -2 dB) at Zs = -6 dB: L(H-M) <= L(H-L) - 2 dB78 dB78 dB±1.00e-9 dB0 dB0.0 %
PassLong, Architectural Acoustics2eEq. (18.23)Number-of-open-microphones correction 10 lg Nm at Nm = 46.0206 dB6.0206 dB±1.00e-12 dB0 dB0.0 %
Random-incidence and diffuse-field sensitivity (IEC 61183)8/8
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 611831994Formulas (A.1), (A.2), Table A.1Adjustment factors K(phi) of all 36 angles, 10° steps in two planes36/36 angles of Table A.136/36 angles of Table A.1±000.0 %
PassIEC 611831994A.6 NOTE 2, Table A.1Four planes at 45° take half the factors of Table A.136/36 halved factors of Table A.136/36 halved factors of Table A.1±000.0 %
PassIEC 611831994A.1.7Largest of the 70 elements of 10° steps in two planes, about 2,2 % of the sphere2.2 %2.179 %±0.05 %-0.021 %42 %
PassIEC 611831994Formula (A.3), Table A.1The 72 factors of two planes sum to one with the poles in both sums11±1.00e-1200.0 %
PassIEC 611831994Formulas (A.3), (1)An omnidirectional instrument has 10 lg gamma = 0 dB, so G_RI = G_F0 dB0 dB±1.00e-9 dB0 dB0.0 %
PassIEC 611831994note to A.1.8Directions of the 38 equal-area elements, to the 0,1° printed18/18 printed angles other than 77,9° and 282,1°18/18 printed angles other than 77,9° and 282,1°±000.0 %
PassIEC 611831994note to A.1.8, Formula (A.5)Each of the 38 equal-area elements is 2,6 % of the sphere2.6 %2.632 %±0.05 %0.032 %64 %
PassIEC 611831994Formulas (10), (11), Table B.1Reference corrections of an LS2aP/LS2F microphone, 25 Hz to 20 kHz30/30 printed cells of Table B.130/30 printed cells of Table B.1±000.0 %
Free-field corrections of a sound level meter (IEC 62585)16/16
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 625852012Table I.2Standard uncertainty of each of the 15 components at 1 kHz15/15 components of Table I.215/15 components of Table I.2±000.0 %
PassIEC 625852012Table I.2Combined standard uncertainty of the correction at 1 kHz0.059 dB0.059 dB±0.0001 dB0.0000311 dB62 %
PassIEC 625852012Table I.2Welch-Satterthwaite effective degrees of freedom at 1 kHz29.9829.98±0.010.00240 %
PassIEC 625852012Table I.2, clause 5Coverage factor for 95 % at the 29,98 degrees of freedom the table prints2.04 (printed 2,11, an erratum)2.042±0.0050.00240 %
PassIEC 625852012Table I.2, clause 5Expanded uncertainty of the correction at 1 kHz, to the printed guard digit0.121 dB (printed 0,12(4), an erratum)0.1206 dB±0.0005 dB-0.0004 dB80 %
PassIEC 625852012Table I.3Standard uncertainty of the four components that change at 8 kHz4/4 changed components of Table I.34/4 changed components of Table I.3±000.0 %
PassIEC 625852012Table I.3Combined standard uncertainty of the correction at 8 kHz0.14 dB0.14 dB±0.0005 dB0.0000274 dB5.5 %
PassIEC 625852012Table I.3Coverage factor at 8 kHz, more than 30 effective degrees of freedom22.001±0.0050.00120 %
PassIEC 625852012Table I.3Expanded uncertainty of the correction at 8 kHz0.28 dB0.28 dB±0.005 dB0.000161 dB3.2 %
PassIEC 625852012Formula (H.1), Table H.1Exact one-twelfth-octave frequencies from 1 kHz to 10 kHz41/41 frequencies of Table H.141/41 frequencies of Table H.1±000.0 %
PassIEC 625852012clauses 9 to 14Maximum permitted expanded uncertainty either side of each boundary18/18 printed maxima of clauses 9 to 1418/18 printed maxima of clauses 9 to 14±000.0 %
PassIEC 625852012clause 6Static-pressure component below 97 kPa, up to and above 3 kHz5/5 clause 6 components5/5 clause 6 components±000.0 %
PassIEC 625852012Formulas (D.1) to (D.7)A calibrator's correction from readings built by (D.1) to (D.4)0 dB0 dB±0.000000000001 dB0 dB0.0 %
PassIEC 625852012Formulas (E.1) to (E.6), Figure E.1A coupler's correction from readings built by (E.1) to (E.3B)0 dB0 dB±0.000000000001 dB0 dB0.0 %
PassIEC 625852012Formulas (F.1) to (F.13)An actuator's normalised correction from readings built by (F.1) to (F.3)0 dB0 dB±0.000000000001 dB0 dB0.0 %
PassIEC 625852012Annex A, Figure A.1Adjustment value of a response whose fit is known in closed form0.2 dB (closed form)0.2 dB±1.00e-12 dB0 dB0.0 %
Industrial noise control23/23
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassBies5eEq. (8.111)Expansion-chamber peak TL = 10 lg[1 + (1/4)(m - 1/m)^2], m = 4 at kL = pi/26.5472 dB6.5472 dB±0.00000100 dB0 dB0.0 %
PassBies5eEq. (8.111)Expansion-chamber trough TL = 0 at kL = pi (chamber transparent)0 dB0 dB±1.00e-9 dB0 dB0.0 %
PassBies5eEq. (8.44) / Example 8.1Quarter-wave tube tuning f = c/(4 l_e), l_e = 1.516 m -> 56.6 Hz56.6 Hz56.6 Hz±0.1 Hz0.003 Hz3.0 %
PassBies5eEq. (8.46)Helmholtz resonance f0 = (c/2pi) sqrt(S/(l_e V)) (S=1e-4, l_e=0.02, V=1e-3)122.067 Hz122.067 Hz±0.00000100 Hz0 Hz0.0 %
PassBies5eEq. (8.73)Side-branch TL = 20 lg abs(1 + rho c/(2 Sd Zb)) (QWT branch, closed form)0.1638 dB0.1638 dB±1.00e-9 dB0 dB0.0 %
PassBies5eEqs. (8.141)/(8.148) (four-pole insertion loss)Insertion loss = transmission loss for the anechoic reference Zs=Zr=rho c/S6.2498 dB (= TL)6.2498 dB±1.00e-9 dB0 dB0.0 %
PassBies5eEq. (8.275) (Wells' plenum method)Plenum TL = -10 lg[S_out(cos0/pi r^2 + (1-a)/(Sw a))] (S_out=.1,r=1,Sw=20,a=.2)12.8541 dB12.8541 dB±0.00000100 dB0 dB0.0 %
PassBies5eTable 8.14 (ASHRAE end reflection, flush)Duct end reflection D = 200 mm at 125 Hz = 10 dB (table node)10 dB10 dB±0.00000100 dB0 dB0.0 %
PassLong2eEq. 13.1 with Table 13.5also namesASHRAE 1987fan modelForward-curved fan at Q_REF, P_REF, peak efficiency -> K_F + C_BFI at 500 Hz38 dB38 dB±1.00e-9 dB0 dB0.0 %
PassLong2eEq. 14.12 with Table 14.2 (Reynolds lined rectangular duct)18 x 12 in duct, 6 ft, 1 in lining at 1 kHz -> 1.77 (10/3)^0.695 6 dB24.5203 dB24.5203 dB±1.00e-9 dB0 dB0.0 %
PassLong2eTable 14.4also namesASHRAE 1995lined flexible duct8 in diameter, 9 ft long -> 6/8/16/25/28/28/18 dB (table node)0 dB (max |diff| over the 7 bands)0 dB±1.00e-9 dB0 dB0.0 %
PassLong2eEq. 14.17 (branch power division)25 per cent split with area-matched branches -> -10 lg 0.25 = 6.02 dB6.0206 dB6.0206 dB±1.00e-9 dB0 dB0.0 %
PassLong2eTable 14.9 (worked duct-borne sheet, supply path)Fan to room, 8 octave bands -> 52/42/30/18/9/-2/-2/-1 dB at the receiver0 dB +/-1 (max |diff| over the 8 bands)1 dB±1 dB1 dB100 %
PassLong2eEqs. 13.27-13.33 (Reynolds diffuser self-noise)24 x 24 in rectangular diffuser, 312 cfm, 0.05 in pd -> the 33/32/29/23/15 dB row of Table 14.90 dB +/-1 (max |diff| over the five bands)0.8853 dB±1 dB0.8853 dB89 %
PassASHRAE 2019Applications Ch. 49 Table 9Max neck velocity of a supply outlet for design RC(30) -> 2.2 m/s2.2 m/s2.2 m/s±1.00e-9 m/s0 m/s0.0 %
PassNorton & Karczub2eEqs. 7.6/7.8/7.9 (problem 7.1 answer)254 mm duct, steam, 200 m/s: (1,0) cut-on 812 Hz and k_x = -8.23 1/m0 +/-1 (Hz, and 1/m x100)0.591±10.59159 %
PassNorton & Karczub2eEq. 7.10 (problem 7.2 answer)0.65 x 0.4 m duct, 15 m/s: first three cut-on 264 / 428 / 503 Hz0 Hz (max |diff| over the 3 modes)0 Hz±1.00e-9 Hz0 Hz0.0 %
PassBies5eEqs. (7.103), (7.111) (enclosure, fully absorbing limit)Enclosure correction C -> 10 lg 0.3 = -5.23 dB as alpha_i -> 1-5.2288 dB-5.2288 dB±0.001 dB0.0000174 dB1.7 %
PassNorton & Karczub2eEq. (4.101) (problem 4.21 answer)Double brick wall into an 8 x 9 x 3 m room -> NR 37.5/40.8/49.0/62.8/65.3/65.9 dB0 dB +/-0.05 (max |diff| over the 6 bands)0.0308 dB±0.05 dB0.0308 dB62 %
PassNorton & Karczub2e4.6/4.9 (problem 4.18 answer)Blower in a plant room to the operator room -> 72.3/60.4/41.4/41.0/33.8/30.7 dB0 dB +/-0.1 (max |diff| over the 6 bands)0.0682 dB±0.1 dB0.0682 dB68 %
PassBarron(2003)Example 7-6 with Eqs. (7-71) and (7-72), printed folios 297 and 298, PDF pages 309 and 310Refiner room to an operator 1.5 m from a 16 m2 wall (inside r* = 1.596 m) -> L_p2 = 61.7 dB61.7 dB61.75 dB±0.05 dB0.047 dB94 %
PassNorton & Karczub2eEq. (4.115) (problem 4.16 answer)Lined compressor enclosure against NC-45 -> required TL 14.4/25.2/28.9/34.4/35.2/34.7/34.7/31.6 dB0 dB +/-0.15 (max |diff| over the 8 bands)0.1099 dB±0.15 dB0.1099 dB73 %
PassNorton & Karczub2eTable 4.5 (constant-volume source power)Source in the intersection of two flat surfaces (Q = 4) -> +10 lg 4 = 6.02 dB6.0206 dB6.0206 dB±1.00e-9 dB0 dB0.0 %
Enclosure and cabin insulation43/43
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 11546-11995Eq. (1)corroborated byISO 11546-21995Eq. (1)D_W is the difference of the two sound power determinations, and a level shift common to both leaves it alone0 dBmax absolute difference 0.000 dB over 18 bands±1.00e-12 dB0 dB0.0 %
PassISO 11546-11995Annex Ccorroborated byISO 11546-21995Annex DD_WA,e of the annex equals the difference of the two A-weighted totals computed from the same assumed spectrum16.3145 dB16.3145 dB±1.00e-9 dB0 dB0.0 %
PassISO 11546-11995Annex Ccorroborated byISO 11546-21995Annex DAn enclosure of no insulation at all estimates exactly 0 dB, which is the sign test of the A-weighting term A_i0 dB0 dB±1.00e-12 dB0 dB0.0 %
PassISO 11546-21995Figure C.1The area ratio S_V/S the closed form returns puts K_2 back on the Table C.1 limit, at every absorption coefficient of Table C.20 dBmax deviation below 1e-12 dB over the 7 rows of Table C.2±1.00e-9 dB0 dB0.0 %
PassISO 11546-21995Table C.1Environmental correction ceiling K_2 and background margin dL of the nine columnsISO 3743-1 dL = 6 dB; ISO 3744 K2 = 2 dB; ISO 3744 dL = 6 dB; ISO 3746 K2 = 7 dB; ISO 3746 dL = 3 dB; ISO 3747 dL = 3 dB; ISO 11201 K2 = 2 dB; ISO 11201 dL = 6 dB; ISO 11202 K2 = 7 dB; ISO 11202 dL = 3 dB; ISO 11204 K2 = 7 dB; ISO 11204 dL = 6 dBISO 3743-1 dL = 6 dB; ISO 3744 K2 = 2 dB; ISO 3744 dL = 6 dB; ISO 3746 K2 = 7 dB; ISO 3746 dL = 3 dB; ISO 3747 dL = 3 dB; ISO 11201 K2 = 2 dB; ISO 11201 dL = 6 dB; ISO 11202 K2 = 7 dB; ISO 11202 dL = 3 dB; ISO 11204 K2 = 7 dB; ISO 11204 dL = 6 dB±0 dB0 dB0.0 %
PassISO 11546-21995Table C.2The seven room descriptions, word for word, under the mean absorption coefficient each of them is printed against7/7 rows of Table C.27/7 rows of Table C.2±000.0 %
PassISO 11546-21995Table 1The survey methods give an A-weighted value only, so no band quantity may be declared from themISO 3744 bands, ISO 3746 none, ISO 11202 none, ISO 11204 bandsISO 3744 bands, ISO 3746 none, ISO 11202 none, ISO 11204 bands±000.0 %
PassISO 11546-11995Table 1The laboratory table carries no survey-grade row, and its footnote 2 excludes the grade 3 variant of ISO 9614-1 and ISO 11204no survey row, the three reverberation rows, footnote 2 on two3/3 readings of Table 1±000.0 %
PassISO 119571996Eq. (1) and Eq. (2)D_p and D'_p are the same subtraction, and only the method decides whether the answer carries the prime0 dBmax absolute difference 0.000 dB, D_p and D'_p±1.00e-12 dB0 dB0.0 %
PassISO 119571996Annex AD_pA,e of the annex equals the difference of the two A-weighted totals, the same identity as the enclosure annexes19.7652 dB19.7652 dB±1.00e-12 dB0 dB0.0 %
PassISO 1195719966.2Cabin clearance: half a wavelength at 100 Hz is 1,715 m at 343 m/s, and the 50 Hz to 80 Hz range takes a flat 2 m100 Hz = 1.715 m; 80 Hz = 2 m; 63 Hz = 2 m; 50 Hz = 2 m100 Hz = 1.715 m; 80 Hz = 2 m; 63 Hz = 2 m; 50 Hz = 2 m±0 m0 m0.0 %
PassISO 1195719966.4 and 7.2.1Source-spectrum flatness: 6 dB in the 125 Hz octave, 5 dB in the 250 Hz octave and 4 dB above125 Hz = 6 dB; 250 Hz = 5 dB; 500 Hz = 4 dB125 Hz = 6 dB; 250 Hz = 5 dB; 500 Hz = 4 dB±0 dB0 dB0.0 %
PassISO 1195719967.2.1Source positions: at least the largest deviation of D'_p between any two positions in octave bands, three at least and six at most6 positions for a 9,5 dB spread, capped at six6 positions for 9.5 dB±000.0 %
PassISO 1195719966.7The internal noise level is corrected for the background only while the margin lies between 6 dB and 10 dBmargin 8 dB = 59.2506 dB; margin 15 dB = 60 dBmargin 8 dB = 59.2506 dB; margin 15 dB = 60 dB±0 dB0 dB0.0 %
PassISO 119571996clause 10The stated uncertainty needs a room at least 20 times the volume of the cabin, and the loudspeaker method in situ adds about 2 dBvolume ratio = 20; excess deviation = 2volume ratio = 20; excess deviation = 2±000.0 %
PassNPL CIRA(EXT) 009(1996)Tables 8 to 14, PDF pp. 19 to 24, printed folios 15 to 20The environmental correction taken from a room's printed volume and A-weighted reverberation time reproduces all 17 values measured in five real rooms17/17 (worst departure 0.08 dB)17/17 printed values of K_2A, from 1,1 dB to 8,4 dB±000.0 %
PassNPL CIRA(EXT) 009(1996)Tables 9 to 14, PDF pp. 20 to 24, printed folios 16 to 20Annex C calls a room fit for ISO 3746 exactly where the measured environmental correction stays under the 7 dB of Table C.1, in all 17 configurations17/17, reading the absorption at the upper end of each printed range17/17 verdicts that agree with the measurement±000.0 %
PassNPL CIRA(EXT) 009(1996)Tables 9 to 14, PDF pp. 20 to 24, printed folios 16 to 20At the 2 dB ceiling ISO 3744 is given, the annex agrees with 13 of the same 17 measurements, and the four it refuses are the hemi-anechoic room the report says the table of room descriptions cannot reach13 of 17, the four that differ being room A, which is hemi-anechoic and so more absorbent than the 0,5 the table stops at13 of 17, differing at A1, A2, A3, A4±000.0 %
PassNPL CIRA(EXT) 009(1996)Tables 6 and 9, PDF pp. 15 and 20, printed folios 11 and 16Room E is printed with two different boundary areas, and only the one Table 9 pairs with the volume and the reverberation time puts the annex back on the measurementall three surfaces judged as measured, from the 358 m2 of Table 93 of 3 with Table 9, and 1 of 3 with the 258 m2 Table 6 prints for the same room±000.0 %
PassNPL CIRA(EXT) 009(1996)Tables 10 to 14, PDF pp. 22 to 24, printed folios 18 to 20The estimated room absorption column of the study does not follow the study's own Eq. (3): every one of its 17 cells sits more than 0,4 dB away from it, so that column is no oracle for this library17/17 (closest approach 0.45 dB)17/17 printed cells Eq. (3) does not reach±000.0 %
PassHeisterkamp(2024)Table 3, PDF p. 10, printed folio 186The environmental correction from a mean absorption coefficient and a boundary area reproduces the six values three test engineers reached for one workroom6/6 (worst departure 0.05 dB)6/6 printed values of K_2A±000.0 %
PassHeisterkamp(2024)Table 3, PDF p. 10, printed folio 186Annex C puts the same workroom outside ISO 11202 on the first two assessments and inside it on the third, which is where their printed K_2A falls against the 7 dB of Table C.16/6, the tightest of them sitting 0,09 dB over the 7 dB ceiling6/6 verdicts that agree with the printed K_2A±000.0 %
PassHeisterkamp(2024)Table 4, PDF p. 11, printed folio 187The environmental correction taken from an absorption area measured with a reference sound source reproduces all six printed values, in two rooms and on three measurement surfaces6/6 (worst departure 0.04 dB)6/6 printed values of K_2A±000.0 %
PassBarron(2003)Example 7-8, PDF pp. 321 and 323, printed folios 309 and 311The two A-weighted totals of that example on their own, 108,4 dBA without the enclosure and 89,8 dBA with it, which is where the weighting table shows and the difference of the two hides itboth totals within the one decimal the book printswithout the enclosure 108.38 dBA, with the enclosure 89.79 dBA, worst departure 0.025 dB±0.05 dBA0.0248 dBA50 %
PassPeters, Smith and Hollins, Acoustics and Noise Control3rd edExample 1.13, PDF pp. 31 and 32, printed folios 16 and 17One enclosure, one measured band attenuation, two source spectra: the Annex D estimate gives 14 dBA against one machine and 27 dBA against the other, which is why the annex calls it an estimatemachine A = 14 dBA; machine B = 27 dBAmachine A = 13.90 dBA, machine B = 26.92 dBA, a spread of 13.0 dB±0 dBA0 dBA0.0 %
PassSchirmer(2006)10.8.1, PDF pp. 323 and 324, printed folios 303 and 304ISO 11546-1:1995 3.16 / ISO 11546-2:1995 3.14: the leak ratio of an enclosure with a 0,25 m2 opening in 95,75 m2 of wall, taken over the interior surface with the opening counted in, against the printed q = 2,6e-3q = 2,6e-3 (+/-5e-5, half of the last digit printed)0.002604±0.000050.0000048.0 %
PassIFA-LSA 01-243(2014)Anhang, Beispiele 1 and 3, PDF pp. 22, 23 and 25, printed folios 22, 23 and 25The A-weighted insulation of two enclosures measured where they stand, at a punching machine and at an emery machine, which pins the order of the subtraction against real installationspunching machine, Beispiel 1 = 20 dB; emery machine, Beispiel 3 = 20 dBpunching machine, Beispiel 1 = 20 dB; emery machine, Beispiel 3 = 20 dB±0 dB0 dB0.0 %
PassISO 1195719966.4run withISO 374120109.1.2, Equation (14) and its clamps (PDF pp. 28 and 29, printed folios 19 and 20)The background correction 6.4 delegates, at the two clamp points ISO 3741 prints: 1,26 dB for a 6 dB margin and 0,46 dB for a 10 dB onethe printed 1,26 dB and 0,46 dB, to the two decimals folio 20 prints them at (+/-0,005 dB, half of that last digit)worst departure 0.0037 dB over the three bands, which re-evaluate Equation (14) at the clamped margin instead of taking the rounded constant the clause writes±0.005 dB0.0037 dB74 %
PassISO 1195719966.4 and 6.7run withISO 374120109.1.2 (PDF p. 29, printed folio 20)The two clauses that spend that correction: the internal noise level at the two edges of its 6 dB to 10 dB window, and the insulation of 6.480 - 1,26 and 80 - 0,46 for L_pA, and 31,26 / 30,46 / 31,26 for D_p (+/-0,005 dB, half of the last digit printed)worst departure 0.0037 dB over the five values±0.005 dB0.0037 dB74 %
PassISO 119571996clause 8run withISO 717-12013Annex C, Table C.1 (PDF p. 24, printed folio 16)Clause 8 is ISO 717-1 with D_p written where that standard writes R, so its printed example rates 30 (-2; -3) dB on an unfavourable sum of 31,8 dBD_p,w = 30 dB; C = -2 dB; Ctr = -3 dB; unfavourable sum = 31.8 dBD_p,w = 30 dB; C = -2 dB; Ctr = -3 dB; unfavourable sum = 31.8 dB±0 dB0 dB0.0 %
PassISO 119571996Annex Arun withISO 717-12013Annex C, Table C.1 (PDF p. 24, printed folio 16)The summation term of the Annex A estimate against the two printed sums, 28,308 dB and 26,859 dB, over sixteen bands eachthe printed -10 lg of the two sums, 28,308 dB and 26,859 dB. The table truncates rather than rounds, which its ellipsis says, so a correct value sits at or above each and within 0,001 dB of itdepartures +0.000551 dB and +0.000986 dB over the two spectra[0, 0.001] dB0.000986 dB97 %
PassISO 119571996clause 8read viaSGS-CSTC report SDHL260400706101HI(2026)PDF p. 3, printed folio 3 of 4A meeting pod measured in a 200 m3 reverberation room and rated by the issuing laboratory at D_p,w = 32 dBD_p,w = 32 dB, the integer the report printsD_p,w = 32 dB on an unfavourable sum of 22.9 dB±0 dB0 dB0.0 %
PassISO 119571996clause 8read viaAGH report 5.5.130.(2023)PDF p. 10, printed folio 10 of 10An acoustic booth measured in a 180,4 m3 reverberation room and rated by the issuing laboratory at D_p,w = 22 dBD_p,w = 22 dB, the integer the report printsD_p,w = 22 dB on an unfavourable sum of 29.7 dB±0 dB0 dB0.0 %
PassISO 119571996clause 8read viaAGH report 5.5.130.680(2017)PDF p. 11, printed folio 11 of 12A telephone booth whose insulation is tabulated to whole decibels, rated by the issuing laboratory at D_p,w = 30 dBD_p,w = 30 dB, the integer the report printsD_p,w = 30 dB on an unfavourable sum of 23.0 dB±0 dB0 dB0.0 %
PassISO 119571996Annex Arun withBarron(2003)Example 7-8, Table 7-5, PDF pp. 319 to 323, printed folios 307 to 311The A-weighted estimate over six octave bands: the two totals the example prints, 108.4 dBA and 89.8 dBA, are 18.6 dB apart108.4 dBA less 89.8 dBA, each printed to a tenth, so the difference carries a tenth of its own (+/-0.1 dB)18.582 dB±0.1 dB-0.018 dB18 %
PassBarron(2003)Table 7-5, PDF p. 320, printed folio 308ISO 11546-1:1995 Eq. (3): D_p band by band from the two printed sound pressure spectra, against the printed insertion loss row6/6 (worst departure 7.1e-15 dB)6/6 printed values of the insertion loss row±000.0 %
PassBarron(2003)Example 7-8, PDF pp. 321 and 323, printed folios 309 and 311ISO 11546-1:1995 Eq. (4): D_pA from the same two band spectra, against the difference of the printed 108.4 dBA and 89.8 dBA18.6 dB18.58 dB±0.1 dB-0.018 dB18 %
PassBarron(2003)Example 7-8, PDF pp. 320 to 323, printed folios 308 to 311ISO 11546-1:1995 Annex C: the estimate formed from the unenclosed spectrum and the printed insertion loss lands on the same printed difference of A-weighted levels18.6 dB18.58 dB±0.1 dB-0.018 dB18 %
PassBarron(2003)Table 7-5, PDF p. 320, printed folio 308ISO 11546-1:1995 Eq. (1): D_W from the printed sound power levels with and without the enclosure, in the five bands where the table closes on itself5/5 (worst departure 5.3e-15 dB)5/5 printed values of the insertion loss row±000.0 %
PassHarris(1991)Figures A3-2 and A3-8, PDF pp. 135 and 141, printed folios 125 and 131ISO 11546-1:1995 Annex C: the A-weighted reduction of four enclosure cases, within the decibel the book's own pairwise addition costs4/4 (worst departure 0.71 dB)4/4 printed A-weighted reductions±000.0 %
PassISO 717-12020Annex C, Table C.1, PDF p. 23, printed folio 17ISO 11546-1:1995 7.4 rates D_W the way ISO 717-1 rates R, and the printed calculation example reads through that pass-through unchangedrating = 30 dB; C = -2 dB; Ctr = -3 dB; unfavourable sum = 31.8 dBrating = 30 dB; C = -2 dB; Ctr = -3 dB; unfavourable sum = 31.8 dB±0 dB0 dB0.0 %
PassISO 80000-12009Annex B, B.2 and B.3, PDF pp. 43 and 44, printed folios 35 and 36ISO 11546-1:1995 9.4 states every result rounded to the nearest integer and names no rule; the rule this rounding follows is Rule A, the even multiple, which the annex calls generally preferable8/8 printed roundings of Annex B, two of them ties8/8 printed roundings of Annex B, two of them ties±000.0 %
PassSuva 66026.d(2010)6.2.1, PDF p. 17, printed folio 15ISO 11546-1:1995 Eq. (2): the A-weighted total of an octave sound power spectrum, read as the insulation against a reference that carries its energy in the 1 kHz band alone104 dB, the integer the guide prints104.23 dB±0.5 dB0.226 dB45 %
In-situ measurement of silencers, screens and barriers61/61
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 118201996Table 1The stepped background correction, dB to subtract, over the eight printed rows3 dB = 3 dB; 4 dB = 2 dB; 5 dB = 2 dB; 6 dB = 1 dB; 7 dB = 1 dB; 8 dB = 1 dB; 9 dB = 0.5 dB; 10 dB = 0.5 dB3 dB = 3 dB; 4 dB = 2 dB; 5 dB = 2 dB; 6 dB = 1 dB; 7 dB = 1 dB; 8 dB = 1 dB; 9 dB = 0.5 dB; 10 dB = 0.5 dB±0 dB0 dB0.0 %
PassISO 118201996Table 1The printed table is a rounded version of the logarithmic subtraction and departs from it by under 0,35 dBunder 0,35 dB over the eight rowslargest departure 0.349 dB±0.35 dB0.3491 dB100 %
PassISO 118201996Eq. (19)The transmission loss is unmoved by a level shift common to both sides of the silencer0 dBmax absolute difference 0.000 dB over 6 bands±1.00e-12 dB0 dB0.0 %
PassISO 118201996Eqs. (20) and (22)The temperature field correction is 5 lg of the ratio of the two absolute temperatures, and vanishes when they agree0 dB0 dB±1.00e-12 dB0 dB0.0 %
PassISO 118201996Eqs. (6), (10) and (12)A quarter of the Sabine absorption as an area, 6 ln 10 V / (c T), at the printed c = 340 m/s10.1585 m²10.1585 m²±1.00e-9 m²0 m²0.0 %
PassISO 118201996Eqs. (15) and (16)The upstream distance is 1,5 equivalent diameters and the downstream one is 12 sqrt(S_d) less 10 sqrt(S_f)0 m0 m±1.00e-9 m0 m0.0 %
PassISO 118201996Eq. (29)The gas density with the printed R/M = 287 for air and p_amb = 100 kPa1.1892 kg/m³1.1892 kg/m³±1.00e-9 kg/m³0 kg/m³0.0 %
PassISO 118201996Figure 1 and 9.1.3The twenty installations, sixteen for transmission and four for insertion, with the area rule each of them takes20/20 installations20/20 installations±000.0 %
PassISO 1182019969.1.5The permitted conversion folds three one-third-octave levels into their octave on the energy, and is not the fold of a level differencethe energy fold, distinct from the ISO 11691 one1/1 readings of 9.1.5±000.0 %
PassISO 1182019969.1.5corroborated byISO 141631998Table B.1, PDF page 47, folio 47The three spectra of the sister standard's worked conversion fold to the 63 Hz octave levels it printssix octave levels inside the half decibel the printed integers allowworst departure 0.424 dB±0.5 dB0.4243 dB85 %
PassISO 1182019969.1.5corroborated byISO 141631998Table B.1, PDF page 47, folio 47The printed octave attenuation of each spectrum, which is the difference of the two folded levels and not the fold of the differencelaboratory pink noise = 7 dB; axial fan = 12 dB; centrifugal fan = 5 dBlaboratory pink noise = 7 dB; axial fan = 12 dB; centrifugal fan = 5 dB±0 dB0 dB0.0 %
PassISO 118201996Eq. (2)corroborated byHolgado Palacios(2014)Tabla XL, PDF page 149, folio 121The energy mean of six microphone positions, over the twenty-one bands of a measured silencer testall 21 bands inside the 0,05 dB the printed tenth allowsworst departure 0.049 dB±0.05 dB0.0487 dB97 %
PassISO 118201996Eq. (21)corroborated byHolgado Palacios(2014)Tablas LXIV to LXVI, PDF pages 173, 176 and 178, folios 145, 148 and 150The insertion loss of three silencers measured in place, sixty-three bands of the level difference and the area termall 63 bands inside the rounding of the printed inputsworst departure 0.118 dB±0.15 dB0.1177 dB78 %
PassISO 118201996Eqs. (17) and (18)corroborated byBarron(2003)Table 3-4, PDF page 84, folio 72The energy subtraction at one measuring point, over the twenty-two printed margins from 1 dB to 20 dBall 22 rows inside the 0,05 dB the printed tenth allowsworst departure 0.050 dB±0.05 dB0.0496 dB99 %
PassISO 118201996Eqs. (17) and (18)corroborated byBies, Hansen and Howard(2017)Example 1.4, PDF page 65, folio 36run withBarron(2003)Example 3-6, PDF page 85, folio 73Two worked background subtractions at a single point, each printed to the tenth of a decibelBies 1.4, 92,0 dB over 88,0 dB = 89.8 dB; Barron 3-6, 83 dB over 77 dB = 81.7 dBBies 1.4, 92,0 dB over 88,0 dB = 89.8 dB; Barron 3-6, 83 dB over 77 dB = 81.7 dB±0 dB0 dB0.0 %
PassISO 118201996Eqs. (2) and (5)corroborated byBarron(2003)Example 3-4, PDF pages 77 and 78, folios 65 and 66The energy mean of nine levels on a measurement surface, and the 10 lg (S/S0) of the 24,56 m2 that surface enclosesmean of nine levels = 80.4 dB; 10 lg (S/S0) at 24,56 m2 = 13.9 dBmean of nine levels = 80.4 dB; 10 lg (S/S0) at 24,56 m2 = 13.9 dB±0 dB0 dB0.0 %
PassISO 118201996Eq. (5)corroborated byBarron(2003)Example 3-3, PDF pages 72 to 74, folios 60 to 62A sound power from a mean level, a measurement area and a field correction, all three terms together90.4 dB90.38 dB±0.05 dB-0.019 dB38 %
PassISO 118201996Eqs. (6), (10) and (12)corroborated byVer and Beranek(2006)Example 4.2, PDF pages 95 and 96, folios 90 and 91The printed Sabine absorption area of a 200 m3 room at 21,4 C, where the speed of sound is 344 m/s10.7 m²10.7097 m²±0.05 m²0.0097 m²19 %
PassISO 118201996Eq. (5)corroborated byVer and Beranek(2006)Example 4.2, PDF page 96, folio 91The decibel term that absorption area becomes, printed as the first of the five the example adds10.3 dB10.3 dB±0.05 dB-0.002 dB4.0 %
PassISO 118201996Eqs. (6), (10) and (12)corroborated byBarron(2003)Example 7-2, PDF pages 297 to 299, folios 285 to 287The same area at another room and another speed of sound, against two absorption areas the example reaches by two unrelated routesboth areas inside the rounding of the printed timeworst departure 0.0257 m2±0.03 m²0.0257 m²86 %
PassISO 118201996Eq. (29)corroborated byBarron(2003)Examples 8-11 and 8-10, PDF pages 399 and 392, folios 387 and 380The density of the air flowing through a muffler, at two temperatures and two ambient pressures away from the defaultsExample 8-11, air at 450 K and 140 kPa = 1.084 kg/m3; Example 8-10, air at 600 K and 110 kPa = 0.639 kg/m3Example 8-11, air at 450 K and 140 kPa = 1.084 kg/m3; Example 8-10, air at 600 K and 110 kPa = 0.639 kg/m3±0 kg/m³0 kg/m³0.0 %
PassISO 118201996Eq. (28)corroborated byINSHT NTP 668(2004)Ec. 2 and Ec. 3, PDF pages 3 and 4The flow velocity a velocity pressure stands for, against the two coefficients a national guide prints for itEc. 2, density free, 1 kg/m3 = 4.43 m/s; Ec. 3, air at 20 C, 1,2 kg/m3 = 4.04 m/sEc. 2, density free, 1 kg/m3 = 4.43 m/s; Ec. 3, air at 20 C, 1,2 kg/m3 = 4.04 m/s±0 m/s0 m/s0.0 %
PassISO 118201996Eq. (31)corroborated byVDI 2081 Blatt 22005-05Tabelle 1, PDF page 12, folio 12The mean velocity in the passages of a splitter silencer carrying 16 000 m3/h, from the face velocity and the area ratio14.81 m/s14.815 m/s±0.005 m/s0.005 m/s100 %
PassISO 118201996Eq. (31)corroborated byFuchs(2013)Table 13.4, PDF page 588, folio 574Twelve printed airway velocities of two splitter designs, at three flow rates and three housing cross-sections12/12 printed airway velocities12/12 printed airway velocities±000.0 %
PassISO 118201996Eq. (15)corroborated byBarron(2003)Example 5-7, PDF page 215, folio 203The area-equivalent diameter inside the upstream distance, for the 0,810 m2 cross-section of a 900 mm square duct1.524 m1.52331 m±0.00075 m-0.00069 m92 %
PassISO 1182119975.7The background correction at the two ends of the 6 dB to 10 dB window1,2563 dB at 6 dB and 0,4576 dB at 10 dB1.2563 dB and 0.4576 dB±0.0005 dB0.0000251 dB5.0 %
PassISO 1182119975.5.2The four microphone distances are a quarter, a half, once and twice the screen height, with a floor of 1 mh/4 = 2 m; h/2 = 4 m; h = 8 m; 2h = 16 mh/4 = 2 m; h/2 = 4 m; h = 8 m; 2h = 16 m±0 m0 m0.0 %
PassISO 1182119973.10 and 5.2.2The directivity index is the logarithmic mean of twelve positions less the position, so a position under the mean reads positive9.6614 dB9.6614 dB±1.00e-9 dB0 dB0.0 %
PassISO 1182119975.6.2.1 and clause 6The impulse repeat rules and the one uncertainty number the document printsrepeats = 3; repeat again = 3; invalid = 5; deviation = 2repeats = 3; repeat again = 3; invalid = 5; deviation = 2±000.0 %
PassISO 1182119975.8corroborated byBarron(2003)Table 7-6, PDF page 328, folio 316D_p from a printed level pair, at the two octave bands the worked example prints a reduction for7.6 dB at 63 Hz and 24.2 dB at 8000 Hz7.6 dB and 24.2 dB±1.00e-12 dB0 dB0.0 %
PassISO 1182119975.9corroborated byBarron(2003)Example 7-9, PDF pages 327 and 329, folios 315 and 317D_pA from the printed A-weighted pair, 69.6 dBA without the barrier and 55.3 dBA with it14.3 dBA14.3 dBA±1.00e-12 dBA0 dBA0.0 %
PassISO 1182119975.8corroborated byBarron(2003)Example 7-10, PDF pages 331 to 333, folios 319 to 321D_p for a screen standing indoors: 92.3 dB falls to 84.0 dB in the 1000 Hz octave at the operator position8.3 dB8.3 dB±1.00e-12 dB0 dB0.0 %
PassISO 1182119975.8corroborated byHansen(2005)Example 6.23, PDF pages 325 and 326, folios 317 and 318D_p over three octave bands, rounded to the whole decibel 7.4 c) reports it in500 Hz = 10 dB; 1000 Hz = 15 dB; 2000 Hz = 20 dB500 Hz = 10 dB; 1000 Hz = 15 dB; 2000 Hz = 20 dB±0 dB0 dB0.0 %
PassISO 1182119975.8corroborated byNoise Control in Industry3e(1991), PDF page 188, folio 177D_p from the 80 dB / 71 dB pair the worked example prints, and from the three single-path levels printed beside itscreen = 9 dB; path 1 = 15 dB; path 2 = 10 dB; path 3 = 18 dBscreen = 9 dB; path 1 = 15 dB; path 2 = 10 dB; path 3 = 18 dB±0 dB0 dB0.0 %
PassISO 1182119975.8corroborated byIFA-LSA 01-234(2020)Tab. 4.5, PDF page 18, folio 18The differences printed between neighbouring positions, band by band, less the one cell the document misprints11/11 cells of Tab. 4.511/11 cells of Tab. 4.5±000.0 %
PassISO 1182119975.7corroborated byBarron(2003)Example 3-6, PDF page 85, folio 73The corrected level at the lower edge of the window: 83 dB measured over a 77 dB background81.7 dB81.7437 dB±0.05 dB0.0437 dB87 %
PassISO 1182119975.7corroborated byBarron(2003)Table 3-4, PDF page 84, folio 72The seven rows of the printed correction table that fall inside the 6 dB to 10 dB window, to the 0.1 dB the table prints6 dB = 1.3 dB; 6.5 dB = 1.1 dB; 7 dB = 1 dB; 7.5 dB = 0.9 dB; 8 dB = 0.7 dB; 9 dB = 0.6 dB; 10 dB = 0.5 dB6 dB = 1.3 dB; 6.5 dB = 1.1 dB; 7 dB = 1 dB; 7.5 dB = 0.9 dB; 8 dB = 0.7 dB; 9 dB = 0.6 dB; 10 dB = 0.5 dB±0 dB0 dB0.0 %
PassISO 1182119975.7corroborated byHansen(2005)Example 3.25, PDF pages 154 and 155, folios 146 and 147The corrected level at a margin of exactly 10 dB, the upper edge of the window, and at a 6.6 dB one89.5 dB at a 10 dB margin and 85.5 dB at a 6.6 dB one89.542 dB and 85.528 dB±0.05 dB0.0424 dB85 %
PassISO 1182119975.7corroborated byISO 140-319956.5, PDF page 13, folio 7The 1,3 dB that ISO 140-3 and ISO 3744:2010 8.2.3 both print for a 6 dB margin, which is where the window of 5.7 opens1.3 dB1.2563 dB±0.05 dB-0.0437 dB87 %
PassISO 1182119973.10corroborated byBarron(2003)Example 3-5, PDF pages 80 and 81, folios 68 and 69The logarithmic mean under the directivity index: 80.6 dB over ten printed levels and 81.8 dB over three of them80.6 dB over ten positions and 81.8 dB over the ring80.5857 dB and 81.7602 dB±0.05 dB0.0398 dB80 %
PassISO 108471997Table 3The background correction to add, over the two printed rows4 dB = -2 dB; 5 dB = -2 dB; 6 dB = -1 dB; 7 dB = -1 dB; 8 dB = -1 dB; 9 dB = -1 dB4 dB = -2 dB; 5 dB = -2 dB; 6 dB = -1 dB; 7 dB = -1 dB; 8 dB = -1 dB; 9 dB = -1 dB±0 dB0 dB0.0 %
PassISO 118201996Table 1corroborated byISO 108471997Table 3The two stepped tables disagree at a 9 dB margin, so they are two tables and not one helperISO 11820 subtracts = 0.5 dB; ISO 10847 adds = -1 dBISO 11820 subtracts = 0.5 dB; ISO 10847 adds = -1 dB±0 dB0 dB0.0 %
PassISO 1084719978.2.1 and 8.2.2The indirect method returns exactly what the direct one returns when the receiver is of the same kind in both campaigns0 dBmax absolute difference 0.000 dB over both receiver kinds±1.00e-12 dB0 dB0.0 %
PassISO 1084719978.2.2Mixing a hemi-free-field receiver with a facade one moves the answer by exactly the 6 dB of the pressure doubling6 dB in every bandmax absolute departure 0.000 dB over the three bands±1.00e-12 dB0 dB0.0 %
PassISO 1084719978.2.1A source that changed output between the two campaigns is normalised away by the reference position0 dBmax absolute difference 0.000 dB for a 4 dB source gain±1.00e-12 dB0 dB0.0 %
PassISO 108471997Table 1The wind classes, with the upwind one existing only over short distances and read as negative4/4 readings of Table 14/4 readings of Table 1±000.0 %
PassISO 1084719976.3.1The short-distance ratio is strict at 0,1, and the after case needs both of its two inequalities0,1 exactly is not short, and both halves must hold1/1 readings of 6.3.1±000.0 %
PassISO 1084719977.2.2 and 8.1.2 a)The reference microphone stands at least 1,5 m above the top edge, and higher where the 10 degree rule of the NOTE asks for more0 m0 m±1.00e-9 m0 m0.0 %
PassISO 1084719973.10The far field falls 6 dB per doubling for a point source and 3 dB for an incoherent line source6,02 dB and 3,01 dB, printed rounded to 6 and 36 dB and 3 dB±0.021 dB0.0206 dB98 %
PassCordero et al.(2010)Tablas 1 and 2, printed folios 5 and 6 (PDF pages 5 and 6)A campaign that prints all four levels: the two insertion losses it reports to the nearest decibel, 13 dBA and 10 dBAsin ruido = 13 dBA; con ruido = 10 dBAsin ruido = 13 dBA; con ruido = 10 dBA±0 dBA0 dBA0.0 %
PassCordero et al.(2010)Tablas 1 and 2, printed folios 5 and 6 (PDF pages 5 and 6)The one value that campaign prints before rounding, 9,5 dBA, for the case with the background raised at the receiver alone9.5 dBA9.5 dBA±0.05 dBA0 dBA0.0 %
PassLindeman(1985)Table 8, printed folio 39 (PDF page 7)A barrier measured before it stood and after, by the direct method: the runs whose four levels are printed give the printed insertion loss2/2 (worst departure 0.000 dBA)2/2 runs within the 0,1 dB the table prints to±000.0 %
PassLindeman(1985)Tables 12 and 13, printed folio 41 (PDF page 9)The same barrier by the indirect method, five runs against an equivalent site, and the mean insertion loss of 7,0 dBA the table reports6/6 (worst departure 0.020 dBA)6/6 printed values, the five runs and their mean±000.0 %
PassFHWA-PD-96-046clause 6.6.3, printed folio 84 (PDF page 101)The insertion loss worked through with every level printed, 8,8 dB and 8,7 dB, once the off-model edge adjustment is applied outside8,8 dB from the 56,2 dB typed, 8,7 dB from the 56,3 dB listedlargest departure 0.000 dB±0.05 dB0 dB0.0 %
PassISO 80000-12009Annex B, B.3 Rule A, printed folios 35 and 36 (PDF pages 43 and 44)The tie-break clause 10 c) of ISO 10847 leaves open: an exact half is reported as the even whole decibel, the rule Annex B calls preferable1 225,0 = 1220; 1 235,0 = 12401 225,0 = 1220; 1 235,0 = 1240±000.0 %
PassFHWA-PD-96-046Table 3, printed folio 35 (PDF page 52)A second document classing the wind the same way, with the upwind class printed as an interval running from -1 m/s to -5 m/s9/9 readings inside the printed intervals9/9 readings inside the printed intervals±000.0 %
PassCEN/TS 16272-72015Table 4 and 7.3.7, printed folio 14 (PDF page 15)A second committee reprinting the same background correction: the two grouped rows, the 4 dB floor and the 10 dB margin its prose asks for4/4 readings of Table 4 and its clause4/4 readings of Table 4 and its clause±000.0 %
PassJagniatinskis et al.(2017)Table 1, printed folios 293 and 294 (PDF pages 5 and 6)Three insertion losses from a highway campaign that prints its before difference as one number, read at three unrelated splits of it9/9 (worst departure 0.000 dBA)9/9 readings, three printed results at three splits each±000.0 %
PassRodiño & Masson(2015)Tabla 2, printed folio 7 (PDF page 7)Six printed insertion losses of a screen measured with no reference microphone, where 8.2.1 degenerates to the plain level difference6/6 (worst departure 0.000 dB)6/6 printed insertion losses, unweighted and A-weighted±000.0 %
PassBies5e§4.9.2 (printed folio 201, PDF page 230)The 6 dB of C'_r read off a page outside the standard: the pressure doubling at a receiver held against a reflecting surface6 dB in every band, the 20 lg 2 of a pressure doubling as the page prints itmax absolute departure 0.000 dB over the three bands±1.00e-12 dB0 dB0.0 %
PassISO 1084719977.2.2, NOTEThe close-source height puts the reference microphone 10 degrees above the angle to the barrier top, and not 10 degrees above the ground10 degrees over the angle to the top, at four geometrieslargest departure below 1e-12 deg±1.00e-9 deg0 deg0.0 %
Spatial sound decay and prediction in workrooms36/36
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 142572001Eq. (2)The free-field reference curve falls 6 dB per distance doubling and passes 11 dB under the source power at 1 mat 1 m = -11 dB; per doubling = 6.02 dBat 1 m = -11 dB; per doubling = 6.02 dB±0 dB0 dB0.0 %
PassISO 142572001Annex C, Table C.6 EXAMPLEThe Annex B correction reproduces all 66 printed values of the corrected distribution curve66/66 (worst departure 0.09 dB)66/66 printed values within the rounding of the table±000.0 %
PassISO 142572001Annex C, Table C.6 last columnThe A-weighted pink-noise normalisation of Eq. (4), with the printed 6,2 dB, reproduces the eleven printed values to within 0,1 dBevery value within 0,1 dB: the printed 6,2 dB is 0,05 dB short of the sum of the printed Table 1 weights, which is what the annex normalised with, so a cell can come out one unit high in the last place and never lowworst departure 0.09 dB over 11 positions, 6 of them beyond the printed rounding and all of those high±0.1 dB0.092 dB92 %
PassISO 142572001Eq. (4) against Annex C, Table C.6 last column and Table C.10also namesISO 142572001PDF page 10, printed folio 4also namesBS EN ISO 142572001PDF page 14, printed folio 4The 6,2 dB Eq. (4) prints is the A-weighting curve's energy sum rounded, the six weights Table 1 prints sum to 6,2515 dB, and the annex was normalised exactly: Eq. (3) under the Table 1 weights lands all fourteen printed values inside their rounding where the printed constant lands nine of them one unit high0 of 14 outside the printed rounding with the Table 1 sum, against 9 of 14 with the printed 6,2 dB, every one of the 14 high and none by a second unit0 of 14 with the sum (worst 0.045 dB, both signs); 9 of 14 with 6,2 dB (worst 0.097 dB, 0 low, 0 past one unit)±000.0 %
PassISO 142572001Eq. (5) / Annex C, Table C.7 EXAMPLEThe rate of spatial decay reproduces all 18 printed values, in three distance ranges and six octave bands18/18 (worst departure 0.05 dB)18/18 printed values of DL2 within the rounding of the table±000.0 %
PassISO 142572001Eqs. (6) and (7) / Annex C, Table C.9 EXAMPLEThe excess of sound pressure level reproduces all 18 printed values from the uncorrected curve of Table C.518/18 (worst departure 0.06 dB)18/18 printed values of DLf within the rounding of the table±000.0 %
PassISO 142572001Annex C (C.1 against Tables C.7 and C.9)The annex applies its own Annex B correction to DL2 and not to DLf, which the two tables disagree about by more than a decibel28 of the 36 printed results leave the rounding of their own table when the other table's curve is used28 of 36, 14 in each table±000.0 %
PassISO 142572001Eq. (5) against Eq. (8)The factor Eq. (5) prints, 0,3, is the logarithm of two rounded, which Eq. (8) prints in full one page laterlg 2 = 0,301 03the printed 0,3, which is 0,34 % smaller±0.002-0.00150 %
PassISO 142572001Table 1The A-weighted pink-noise spectrum weights the six octave bands the way Table 1 prints them125 Hz = -16.1 dB; 250 Hz = -8.6 dB; 500 Hz = -3.2 dB; 1 kHz = 0 dB; 2 kHz = 1.2 dB; 4 kHz = 1 dB125 Hz = -16.1 dB; 250 Hz = -8.6 dB; 500 Hz = -3.2 dB; 1 kHz = 0 dB; 2 kHz = 1.2 dB; 4 kHz = 1 dB±0 dB0 dB0.0 %
PassISO 142572001Annex B, Eq. (B.4)A source with its acoustical centre on the floor radiates into a half space, which is 3 dB over the free fieldthe 3 dB Eq. (B.4) prints3.0103 dB±0.02 dB0.0103 dB52 %
PassISO 142572001Annex A (PDF pages 24 and 25, printed folios 14 and 15)The limits a test source is qualified against are the ones the normative annex printsmax |DI|, dB = 8; DI tolerance to 630 Hz, dB = 2; DI tolerance from 1 kHz, dB = 8; ramp starts, Hz = 630; ramp ends, Hz = 1000; adjacent band step, dB = 8; Lw stability 100 Hz to 160 Hz, dB = 1; Lw stability 200 Hz to 5 kHz, dB = 0.5max |DI|, dB = 8; DI tolerance to 630 Hz, dB = 2; DI tolerance from 1 kHz, dB = 8; ramp starts, Hz = 630; ramp ends, Hz = 1000; adjacent band step, dB = 8; Lw stability 100 Hz to 160 Hz, dB = 1; Lw stability 200 Hz to 5 kHz, dB = 0.5±000.0 %
PassISO 142572001C.3 (PDF page 29, printed folio 19)The source the annex declares as qualified is inside both limits it is declared against2/2, the closer of the two 1,5 dB under the 8 dB cap2/2 declared characteristics inside their limit±000.0 %
PassISO 142572001Annex C, Table C.2 last column (PDF page 28, printed folio 18)The A-weighted sound power level of the test source is the energy sum of its six printed octave bands under the Table 1 weights115.7 dB115.7086 dB±0.05 dB0.0086 dB17 %
PassISO 142572001Annex C, Tables C.11 and C.12also namesBS EN ISO 142572001PDF page 34, printed folio 24also namesUNE-EN ISO 142572002PDF page 30, printed folio 30Equation (8) over the printed curves does not give the printed tables, and two printings print the same numbers, so the annex is inconsistent here rather than mis-set18 of the 21 printed results leave the rounding of their own table: 15 of the 18 of Table C.11 over Table C.5, up to 1,55 dB, and the 3 of Table C.12 over the last column of Table C.6. The two printings of the standard agree digit for digit, so neither is a misprint of the other18 of 21, departures from -0.41 dB to +1.55 dB with no systematic sign±000.0 %
PassSuva 66008.f(2006)Tableau 2 and Figure 7 (PDF page 13, printed page 11)Equation (5) reproduces the 21 decay rates a Swiss workroom survey prints, in three distance ranges and seven columns21/21 (worst departure 0.051 dB)21/21 printed values of DL2 reproduced within 0,06 dB±000.0 %
PassSuva 66008.f(2006)Tableau 2 and Figure 7 (PDF page 13, printed page 11)Equations (6) and (7) reproduce the 21 printed values of the excess over a free field from the same measured curve21/21 (worst departure 0.048 dB)21/21 printed values of DLf within the rounding of the summary±000.0 %
PassISO 142572001Eq. (2)compared withSuva 66008.f(2006)Figure 7 (PDF page 13, printed page 11)The free-field reference the survey measured its excess against, recovered from its 21 printed values, is the whole sphere10 lg(4 pi) = 10,992 dB, which Eq. (2) prints as 11 dB10.988 dB, from the mean of the 21 residuals±0.02 dB-0.0045 dB22 %
PassISO 1425720016.2compared withSuva 66008.f(2006)2.6.2 and 2.6.3 (PDF page 11, printed page 9)The three distance ranges hold every one of the 23 measurement radii the same page lists23/23 radii put in a range the printed bounds admit23/23 radii put in a range the printed bounds admit±000.0 %
PassIFA-LSA 01-234(2020)Tab. 4.4 and Tab. 4.5 (PDF pages 17 and 18, printed folios 17 and 18)Equation (5) reproduces the decay rate a German guidance sheet prints for four octave bands measured at four distances4/4 (worst departure 0.036 dB)4/4 printed values of DL2 within the rounding of the table±000.0 %
PassIFA-LSA 01-234(2020)Tab. 4.4 against Tab. 4.5 (PDF pages 17 and 18, printed folios 17 and 18)The 2 kHz level difference the result table prints, 4,7 dB, is not the one its own decay rate was computed fromthe printed level gives the printed 4,3 dB and the level the printed difference would need gives 4,4 dB2/2 readings the printed decay rate settles±000.0 %
PassProbst(2006)Anh. 1 Tabs. 3, 6, 13 and 22 (PDF pages and printed folios 79, 82, 93 and 105)The fitting density of NOTE 3 of 6.2.2 reproduces the four values an independent VDI 3760 tool printed for surveyed workrooms4/4 (worst departure 0.00049 1/m)4/4 printed densities within half of their last printed figure±000.0 %
PassISO 11690-31998Annex C, Table C.2 EXAMPLEThe level increase at a machine's own workstation is the ISO 3744 environmental correction, which reproduces seven of the eight rows7/7 (worst departure 0.39 dB)7/7 rows within the half decibel the diagram is drawn to±000.0 %
PassISO 11690-31998Annex C, Figure C.1 (the eighth machine)M8 needs more increase than the diagram can show, and the table prints the edge of the diagram instead12,4 dB, against the 10 dB the table prints and the 10 dB the diagram ends at12.3789 dB±0.1 dB-0.0211 dB21 %
PassISO 11690-31998Table E.1Each category of prediction method admits the levels of detail Table E.1 lists and refuses the rest5/5 combinations judged as printed5/5 combinations judged as printed±000.0 %
PassISO 11690-319984.3compared withISO 14257Annex CThe middle-range decay of the worked example falls inside the 2 dB to 5 dB the guidance says to expectfive of the six octave bands, the 4 kHz one running 0,4 dB over the 5 dB top of the range 4.3 leads one to expect5 of 6 inside 2 dB to 5 dB±000.0 %
PassISO 11690-31998Annex B, Tables B.2 to B.6 EXAMPLE (BS EN printing, printed folios 16 to 18, PDF pp. 26 to 28)Case A: what the two workstations hear once the two new machines are installed, at the positions the annex printsbeside M2 = 82.1 dB; far corner = 80.3 dBbeside M2 = 82.1 dB; far corner = 80.3 dB±0 dB0 dB0.0 %
PassISO 11690-31998Annex B, Tables B.7 to B.9 EXAMPLE (BS EN printing, printed folio 18, PDF p. 28)Case B: the six levels printed for the two machines on offer, at the three workstation positions6/6: all but one within the 0,05 dB half step of the printed tenth (worst 0.037 dB), and the cell beside the new machine with the first choice at its recorded -0.063 dB (computed -0.0628 dB)6/6 printed levels of Table B.9±000.0 %
PassISO 11690-31998Annex B, Figure B.1 against Tables B.5 and B.8 (BS EN printing, printed folios 16 and 18)The results of Annex B belong to the positions Figure B.1 draws, and not to the ones the two workstation tables put the same labels on12/12: the 6 cells within 0,1 dB at the positions Figure B.1 draws, and the same 6 more than 0,1 dB out at the positions Tables B.5 and B.8 tabulate (nearest 0.478 dB, farthest 1.836 dB)12/12 readings of the 6 printed cells, reproduced at the positions Figure B.1 draws and rejected at the positions Tables B.5 and B.8 tabulate±000.0 %
PassISO 11690-31998Annex C, Table C.2 last column EXAMPLE (BS EN printing, printed folio 20, PDF p. 30)The level at a machine's own workstation rounds to the printed integer for all seven machines the diagram of Figure C.1 can showM1 = 89 dB; M2 = 84 dB; M3 = 92 dB; M4 = 83 dB; M5 = 88 dB; M6 = 84 dB; M7 = 87 dBM1 = 89 dB; M2 = 84 dB; M3 = 92 dB; M4 = 83 dB; M5 = 88 dB; M6 = 84 dB; M7 = 87 dB±0 dB0 dB0.0 %
PassISO 11690-319984.3 (BS EN printing, printed folios 2 and 3, PDF pp. 12 and 13)The bounds the clause prints for the two descriptors, region by region, with the five it leaves open left open12/12 bounds of 4.3, the five the clause prints no number for included12/12 bounds of 4.3, the five the clause prints no number for included±000.0 %
PassIFA-LSA 01-234(2020)Tab. 4.2 (printed folio 14, PDF p. 14)The equivalent absorption area of a 6 000 m3 production hall, from the reverberation times measured in it500 Hz = 279 m²; 1 kHz = 257 m²; 2 kHz = 296 m²; 4 kHz = 391 m²500 Hz = 279 m²; 1 kHz = 257 m²; 2 kHz = 296 m²; 4 kHz = 391 m²±0 m²0 m²0.0 %
PassIFA-LSA 01-234(2020)Tab. 4.2 (printed folio 14, PDF p. 14)The mean absorption coefficient of the same hall, which is that area over the 2 200 m2 of boundary the sheet works out from its dimensions500 Hz = 0.13; 1 kHz = 0.12; 2 kHz = 0.13; 4 kHz = 0.18500 Hz = 0.13; 1 kHz = 0.12; 2 kHz = 0.13; 4 kHz = 0.18±000.0 %
PassVer & Beranek2eTable 7.4 and the text before it (printed folios 199 and 200, PDF pp. 203 and 204)Nine machines around one assembly bench add on a power basis to the two printed totals, and to the benefit of treating the ceiling3/3 (worst departure 0.05 dB, on the total before treatment: the nine contributions are themselves printed to 0,1 dB, so their sum can only be recovered to half a step)3/3 printed totals and the benefit printed beside them±000.0 %
PassBarron(2003)Example 7-8 and Table 7-5 (printed folios 307 to 309, PDF pp. 319 to 321)The level at the operator in six octave bands, with the direct term as the statement and the worked line write it, Q/(4 pi r^2)125 Hz = 93.4 dB; 250 Hz = 98.5 dB; 500 Hz = 102.9 dB; 1 kHz = 104.6 dB; 2 kHz = 102.8 dB; 4 kHz = 95.5 dB125 Hz = 93.4 dB; 250 Hz = 98.5 dB; 500 Hz = 102.9 dB; 1 kHz = 104.6 dB; 2 kHz = 102.8 dB; 4 kHz = 95.5 dB±0 dB0 dB0.0 %
PassBarron(2003)Table 7-5 against itself (printed folio 308, PDF p. 320)The room constant printed at 2 kHz is the one a mean absorption of 0,041 gives, and not the 0,043 the row above it printsthe 47,88 m2 Table 7-5 prints at 2 kHz47.88 m2 from a mean absorption of 0,041, against the 50.32 m2 the printed 0,043 gives±0.005 m²0.0032 m²64 %
PassBarron(2003)Example 7-6 (printed folio 298, PDF p. 310)The level in a paper mill refiner room, from the room constant the example works out and a directivity factor of 2the 94,8 dB the example prints, for a room constant of 47,37 m294.85 dB, from the 47.37 m2 the library returns for (0,05)(900)/(1 - 0,05)±0.06 dB0.049 dB82 %
Suspended ceilings in a reverberation room (EN 16487)12/12
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassEN 164872014Table 1also namesBS EN 164872014printed folio 14, PDF page 16Reproducibility uncertainty of the absorption coefficient, the six printed octave bands and the weighted rating125 Hz = 0.23; 250 Hz = 0.23; 500 Hz = 0.11; 1 kHz = 0.1; 2 kHz = 0.1; 4 kHz = 0.13; alpha_w = 0.08125 Hz = 0.23; 250 Hz = 0.23; 500 Hz = 0.11; 1 kHz = 0.1; 2 kHz = 0.1; 4 kHz = 0.13; alpha_w = 0.08±000.0 %
PassEN 164872014Table 1 NOTE (printed folio 14)compared withISO 12999-22020Table 3 (printed folio 6)The coverage factor is the 2,8 of ISO 5725-6 for this test code and the 2,0 of Table 3 at 95 % for the general methodEN 16487 NOTE = 2.8; ISO 12999-2 Table 3 at 95 % = 2EN 16487 NOTE = 2.8; ISO 12999-2 Table 3 at 95 % = 2±000.0 %
PassISO 9613-11993Table 1, sub-tables (i) and (j) (printed folio 9, PDF page 12)Pure-tone attenuation in dB/km at the four climates the air-absorption correction of 4.2.1 is exercised at below20/20 (worst cell 95% of its half-digit)20/20 printed cells inside half of their last printed digit±000.0 %
PassVigran(2008)Eq. (4.41), printed page 122, PDF page 143The EN ISO 354:2003 8.1.2.1 conversion between alpha and m, printed as 10 lg(e) = 4,3434,343, to the four figures the page prints4.342945±0.0005-0.00005511 %
PassVigran(2008)Eq. (4.42) and the Example, printed page 123, PDF page 144The factor of four in the air term of 4.2.1, against a printed air-absorption area of 20 m220 m2 of air absorption, from V = 100 m3 and m = 0,05 1/m20 m²±5.00e-9 m²0 m²0.0 %
PassCox & D'Antonio3eTable 4.2, printed page 104, PDF page 161The air absorption constant m at 20 degC, over the three humidity rows 4.2.2 admits24/24 (worst cell 86% of its half-digit)24/24 printed cells inside half of their own last decimal±000.0 %
PassEN 1648720144.2.1 (printed folio 12, PDF page 14)run withISO 9613-11993Table 1(i)run withEN ISO 35420038.1.2.1The air-absorption correction of a 300 m3 room whose humidity moved from 50 % to 60 %, which the clause reports as over its printed capthe printed 0,05, and the room reported as over itcap 0.05, largest correction -0.10329 at 4000 Hz, reported±000.0 %
PassEN 1648720144.2.1 (printed folio 12, PDF page 14)run withISO 9613-11993Table 1(i) and 1(j)The same correction in a 200 m3 room at 90 % relative humidity, which the clause passes in silence as inside its printed capthe printed 0,05, and the room passed in silencecap 0.05, largest correction +0.03309 at 2000 Hz, not reported±000.0 %
PassISO 3542003Formulae (8) and (9) (printed folios 10 and 11, PDF pages 20 and 21 of the EN printing)also namesEN 1648720144.2.1 uses themThe absorption coefficient of a type E 200 mm ceiling, from the reverberation times and climates a UKAS certificate prints6/6 (worst departure 0.0046)6/6 printed coefficients within the rounding of the certificate±000.0 %
PassEN 1648720144.1.1.1.1 and 4.1.1.2.3.1 (printed folios 6 and 9, PDF pages 8 and 11)Four real suspended-ceiling arrangements judged against the printed 10,80 m2 and the printed 200 mm4/4 against the 10,80 m2 of 4.1.1.1.1 and the 200 mm of 4.1.1.2.3.14/4 arrangements judged as the two clauses print them±000.0 %
PassEN 1648720144.2.2 (printed folio 12, PDF page 14)The 50 % relative humidity floor against the room climates three laboratories printed3/3 against the 50 % of 4.2.2, one of them below it3/3 printed climates judged against the floor of the clause±000.0 %
PassEN 164872014Table 1 footnote brun withEN ISO 1165419974.1 and 4.2 (printed folios 2 and 3)The weighted rating and absorption class three laboratories printed for their own suspended ceilings3/3 printed alpha_w with class and indicator, and 5/5 printed alpha_p8/8 printed ratings and practical coefficients reproduced±000.0 %
Control valve noise (IEC 60534-8-3)13/13
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 60534-8-32010Regime, examples 1 to 6 (Table A.1)I, II, III, IV, V, Vexample 1 = 1; example 2 = 2; example 3 = 3; example 4 = 4; example 5 = 5; example 6 = 5±000.0 %
PassIEC 60534-8-32010Valve style modifier F_d (Eqs. (8a) to (8c))0.30.296±0.005-0.00480 %
PassIEC 60534-8-32010Jet diameter D_j, example 1 (Eq. (9))0.012 m0.0116 m±0.0005 m-0.0004 m80 %
PassIEC 60534-8-32010Vena contracta pressure, examples 1 to 6 (Eq. (2))example 4, the worst of the six104702 Pa±2 Pa-0.439 Pa22 %
PassIEC 60534-8-32010Sound power W_a, examples 1 to 6 (Eq. (11))example 1 = 22.3 W; example 2 = 30.4 W; example 3 = 141.3 W; example 4 = 86.1 W; example 5 = 291.9 W; example 6 = 218.3 Wexample 1 = 22.3 W; example 2 = 30.4 W; example 3 = 141.3 W; example 4 = 86.1 W; example 5 = 291.9 W; example 6 = 218.3 W±0 W0 W0.0 %
PassIEC 60534-8-32010Internal level at the pipe wall, examples 1 to 6 (Eq. (18))example 1 = 155.3 dB; example 2 = 156.5 dB; example 3 = 161.7 dB; example 4 = 158.8 dB; example 5 = 157 dB; example 6 = 158.4 dBexample 1 = 155.3 dB; example 2 = 156.5 dB; example 3 = 161.7 dB; example 4 = 158.8 dB; example 5 = 157 dB; example 6 = 158.4 dB±0 dB0 dB0.0 %
PassIEC 60534-8-32010Ring and coincidence frequencies, example 7 (Eqs. (21) to (23))f_r = 7958 Hz; f_o = 2366 Hz; f_g = 1622 Hzf_r = 7958 Hz; f_o = 2366 Hz; f_g = 1622 Hz±0 Hz0 Hz0.0 %
PassIEC 60534-8-32010Pipe transmission loss, example 7, 33 bands (Eq. (20a))band 17 at 500 Hz, the worst of 33-62.67 dB±0.1 dB-0.066 dB66 %
PassIEC 60534-8-32010A-weighted level 1 m from the pipe wall, examples 1 to 5 (Eq. (25))example 1 = 92 dB; example 2 = 93 dB; example 3 = 98 dB; example 4 = 94 dB; example 5 = 97 dBexample 1 = 92 dB; example 2 = 93 dB; example 3 = 98 dB; example 4 = 94 dB; example 5 = 97 dB±0 dB0 dB0.0 %
PassIEC 60534-8-32010Expander chain of Clause 7, example 6 (Eqs. (34) to (41))U_p = 190; U_R = 460; M_R = 0.96; W_mR = 47854; eta_R = 0.0009; W_aR = 42; f_pR = 920; L_piR = 151U_p = 190; U_R = 460; M_R = 0.96; W_mR = 47854; eta_R = 0.0009; W_aR = 42; f_pR = 920; L_piR = 151±000.0 %
PassIEC 60534-8-32010A-weighted level with the expander, example 6 (Eqs. (43) and (25))94 dB(A), where the trim alone gives 9394 dB±0 dB0 dB0.0 %
PassIEC 60534-8-32010Multistage trim substitution, example 7 (Eqs. (27) to (29))C_n = 315 from Equation (27); p_n = 2,1 x 1e6 Pa from (28a), which NOTE 3 selects because p_1/p_2 = 5 and p_n/p_2 = 1,5C_n = 315; p_n (x1e6 Pa) = 2.1; p_n/p_2 = 1.5; (28a) rather than (28b) = 1±000.0 %
PassIEC 60534-8-32010Multipath multistage trim, example 7 (Table A.2)x = 0.334; p_vc = 1371038; F_d = 0.028; W_a = 10.3; L_pi = 156.9; f_p = 14381; L_pAe = 89x = 0.334; p_vc = 1371038; F_d = 0.028; W_a = 10.3; L_pi = 156.9; f_p = 14381; L_pAe = 89±000.0 %
Control valve noise (IEC 60534-8-4)14/14
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassIEC 60534-8-42005Flow conditions, examples 1 to 3 (5.1)Delta p = 2,0 / 3,5 / 3,5 x 1e5 Pa against 2,38 / 2,38 / 3,32 x 1e5 Pa -> turbulent, cavitating, cavitatingx_Fzp1 (p1-pv) 1 = 2.38; cavitating 1 = 0; x_Fzp1 (p1-pv) 2 = 2.38; cavitating 2 = 1; x_Fzp1 (p1-pv) 3 = 3.32; cavitating 3 = 1±000.0 %
PassIEC 60534-8-42005Characteristic pressure ratio x_Fz and x_Fzp1 (Eqs. (3a), (3c))x_Fz = 0.2543; x_Fzp1 = 0.2386; x_Fzp1 shifted = 0.3324x_Fz = 0.2543; x_Fzp1 = 0.2386; x_Fzp1 shifted = 0.3324±000.0 %
PassIEC 60534-8-42005Jet diameter D_j (Eq. (4))0.01758 m0.01758 m±0.00001 m1.38e-7 m2.8 %
PassIEC 60534-8-42005Vena contracta velocity and stream power (Eqs. (5), (6))U_vc 1 = 21.772; U_vc 2 = 28.801; W_m 1 = 6018.05; W_m 2 = 14042.1U_vc 1 = 21.772; U_vc 2 = 28.801; W_m 1 = 6018.05; W_m 2 = 14042.1±000.0 %
PassIEC 60534-8-42005Acoustical efficiencies (Eqs. (8), (9))eta_turb 1 (x1e6) = 1.555; eta_turb 2 (x1e6) = 2.057; eta_cav 2 (x1e6) = 1.243; eta_cav 3 (x1e8) = 1.992eta_turb 1 (x1e6) = 1.555; eta_turb 2 (x1e6) = 2.057; eta_cav 2 (x1e6) = 1.243; eta_cav 3 (x1e8) = 1.992±000.0 %
PassIEC 60534-8-42005Sound power W_a, examples 1 to 3 (Eqs. (7a), (7b))example 1 = 0.0023 W; example 2 = 0.0116 W; example 3 = 0.0073 Wexample 1 = 0.0023 W; example 2 = 0.0116 W; example 3 = 0.0073 W±0 W0 W0.0 %
PassIEC 60534-8-42005Internal level at the pipe wall, examples 1 to 3 (Eq. (10))example 1 = 149.596 dB; example 2 = 156.543 dB; example 3 = 154.532 dBexample 1 = 149.596 dB; example 2 = 156.543 dB; example 3 = 154.532 dB±0 dB0 dB0.0 %
PassIEC 60534-8-42005Strouhal number and turbulent peak (Eqs. (11), (12))N_Str 2 = 0.399; N_Str 3 = 0.243; f_p,turb 2 = 654.35; f_p,turb 3 = 397.93N_Str 2 = 0.399; N_Str 3 = 0.243; f_p,turb 2 = 654.35; f_p,turb 3 = 397.93±000.0 %
PassIEC 60534-8-42005Cavitating peak frequency (Eq. (13))example 2 = 1088.94 Hz; example 3 = 1973.43 Hzexample 2 = 1088.94 Hz; example 3 = 1973.43 Hz±0 Hz0 Hz0.0 %
PassIEC 60534-8-42005Ring frequency and its transmission loss (Eqs. (14), (15))f_r = 14860.406; TL_fr = -44.71f_r = 14860.406; TL_fr = -44.71±000.0 %
PassIEC 60534-8-42005Turbulent transmission loss, examples 1 to 3 (Eqs. (16a), (16b))example 3, the worst of the three-76.152 dB±0.01 dB0.008 dB80 %
PassIEC 60534-8-42005Cavitating transmission loss, examples 2 and 3 (Eq. (17))example 3, the worse of the two printed rows-74.922 dB±0.1 dB0.084 dB84 %
PassIEC 60534-8-42005Level 1 m from the pipe wall, examples 1 to 3 (Eqs. (18a), (18b))example 1 = 62.7 dB; example 2 = 81 dB; example 3 = 66.9 dBexample 1 = 62.7 dB; example 2 = 81 dB; example 3 = 66.9 dB±0 dB0 dB0.0 %
PassIEC 60534-8-42005Frequency route at 8 kHz, examples 1 to 3 (Eqs. (19) to (22))L_pi(8k) 1 = 116.3 dB; L_pi(8k) 2 = 141.9 dB; L_pi(8k) 3 = 128 dB; TL(8k) = -51.76 dB; L_pe(8k) 1 = 51.8 dB; L_pe(8k) 2 = 77.4 dB; L_pe(8k) 3 = 63.6 dBL_pi(8k) 1 = 116.3 dB; L_pi(8k) 2 = 141.9 dB; L_pi(8k) 3 = 128 dB; TL(8k) = -51.76 dB; L_pe(8k) 1 = 51.8 dB; L_pe(8k) 2 = 77.4 dB; L_pe(8k) 3 = 63.6 dB±0 dB0 dB0.0 %
Ducted silencer measurement (ISO 7235, ISO 11691)23/23
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassISO 116911995Insertion loss by substitution (Eq. (1))50 Hz = 4 dB; 63 Hz = 7 dB; 80 Hz = 12 dB; 100 Hz = 20 dB; 125 Hz = 26 dB; 160 Hz = 28 dB50 Hz = 4 dB; 63 Hz = 7 dB; 80 Hz = 12 dB; 100 Hz = 20 dB; 125 Hz = 26 dB; 160 Hz = 28 dB±0 dB0 dB0.0 %
PassISO 72352003Reverberation-time correction of the insertion loss (6.3)10 lg 2 = 3,010300 dB3.0103 dB±1.00e-12 dB0 dB0.0 %
PassISO 116911995Octave from three one-third octaves (Eq. (2))-10 lg[(10^-3 + 10^-3 + 10^-0,5)/3] = 9,744 dB9.743832 dB±1.00e-12 dB0 dB0.0 %
PassISO 116911995Bounds of the octave insertion loss (Eq. (2))between 5.000 dB and 9.771 dB9.744 dB[5, 9.771212547196624] dB9.744 dB99 %
PassISO 116911995Reproducibility of the survey method (Table 1)50 Hz = 2 dB; 1250 Hz = 2 dB; 1600 Hz = 3 dB; 10000 Hz = 3 dB50 Hz = 2 dB; 1250 Hz = 2 dB; 1600 Hz = 3 dB; 10000 Hz = 3 dB±0 dB0 dB0.0 %
PassISO 72352003Microphone position spread limits (Table 6)50 Hz = 10 dB; 63 Hz = 10 dB; 80 Hz = 8 dB; 100 Hz = 8 dB; 125 Hz = 7 dB; just above 125 Hz = 6 dB; 160 Hz and above = 6 dB50 Hz = 10 dB; 63 Hz = 10 dB; 80 Hz = 8 dB; 100 Hz = 8 dB; 125 Hz = 7 dB; just above 125 Hz = 6 dB; 160 Hz and above = 6 dB±0 dB0 dB0.0 %
PassISO 72352003Three microphone positions, or five (6.2.1)at 50 Hz = 3; at 125 Hz = 5; at 1000 Hz = 5at 50 Hz = 3; at 125 Hz = 5; at 1000 Hz = 5±000.0 %
PassISO 72352003Reproducibility of the three quantities (Table 7)insertion_loss 50 Hz = 1.5 dB; insertion_loss 250 Hz = 1 dB; insertion_loss 1000 Hz = 2 dB; insertion_loss 4000 Hz = 3 dB; transmission_loss 50 Hz = 3 dB; transmission_loss 250 Hz = 3 dB; transmission_loss 1000 Hz = 3 dB; transmission_loss 4000 Hz = 3 dB; intensity 50 Hz = 3 dB; intensity 250 Hz = 1.5 dB; intensity 1000 Hz = 1 dB; intensity 4000 Hz = 1 dBinsertion_loss 50 Hz = 1.5 dB; insertion_loss 250 Hz = 1 dB; insertion_loss 1000 Hz = 2 dB; insertion_loss 4000 Hz = 3 dB; transmission_loss 50 Hz = 3 dB; transmission_loss 250 Hz = 3 dB; transmission_loss 1000 Hz = 3 dB; transmission_loss 4000 Hz = 3 dB; intensity 50 Hz = 3 dB; intensity 250 Hz = 1.5 dB; intensity 1000 Hz = 1 dB; intensity 4000 Hz = 1 dB±0 dB0 dB0.0 %
PassISO 72352003Expanded measurement uncertainty (7.9)250 Hz = 2 dB; 4000 Hz = 6 dB250 Hz = 2 dB; 4000 Hz = 6 dB±0 dB0 dB0.0 %
PassISO 116911995Test duct against the silencer (4.5)lower = 0.6; upper = 1.7lower = 0.6; upper = 1.7±000.0 %
PassISO 72352003Open-end transmission loss and reflection (B.3), (B.4)D_td = -10 lg(1 - r^2) at all 30 pairslargest disagreement below 1e-12 dB±0.000000000001 dB0 dB0.0 %
PassISO 72352003Solid angle of radiation at the duct end (Table B.1)A (flush in a wall) = 6.2832 sr; B (wall and floor) = 3.1416 sr; C (free in the room) = 12.5664 sr; D (on the floor) = 6.2832 sr; E (mid-room duct) = 12.5664 srA (flush in a wall) = 6.2832 sr; B (wall and floor) = 3.1416 sr; C (free in the room) = 12.5664 sr; D (on the floor) = 6.2832 sr; E (mid-room duct) = 12.5664 sr±0 sr0 sr0.0 %
PassISO 72352003Rectangular cut-on frequency (Eq. (5))343,000000 Hz from the (1, 0) eigenvalue343 Hz±1.00e-9 Hz0 Hz0.0 %
PassISO 72352003Circular cut-on frequency (Eq. (4))0,59 / (1,8412 / pi) = 1,0067011.006702±1.00e-900.0 %
PassISO 72352003Transmission loss of an air-terminal unit (Eq. (6))63 Hz gap = 11.2255 dB; 2000 Hz gap = 0.0525 dB63 Hz gap = 11.2255 dB; 2000 Hz gap = 0.0525 dB±0 dB0 dB0.0 %
PassISO 72352003Normal air density (Eqs. (10), (21), (22))(101 325 + 200) / (287 x 293) = 1,207323 kg/m³1.207323 kg/m³±1.00e-12 kg/m³0 kg/m³0.0 %
PassISO 72352003Total pressure loss across unequal ducts (Eq. (12))S_2 = S_1 = 45 Pa; S_2 = 2 S_1 = 93.6253 Pa; S_2 = S_1 / 2 = -149.5012 PaS_2 = S_1 = 45 Pa; S_2 = 2 S_1 = 93.6253 Pa; S_2 = S_1 / 2 = -149.5012 Pa±0 Pa0 Pa0.0 %
PassISO 72352003Pressure loss coefficient is flow invariant (Eq. (14))zeta = 0.750000 at 1 m³/s0.750000 at 2 m³/s±1.00e-1200.0 %
PassISO 72352003Averaged pressure loss coefficient (Eq. (18))2,5 - 0,4 = 2,1000002.1±1.00e-1200.0 %
PassISO 72352003Upstream straight length (6.5.2.2.1)S = 0,0962 m² (350 mm) = 2 m; S = 0,1257 m² (400 mm) = 2 m; S = 0,5 m² = 3.9894 mS = 0,0962 m² (350 mm) = 2 m; S = 0,1257 m² (400 mm) = 2 m; S = 0,5 m² = 3.9894 m±0 m0 m0.0 %
PassISO 51351999End reflection loss is ISO 7235 (B.3) written out (Eq. (2))ISO 5135 (2) = ISO 7235 (B.3) at all 30 pairslargest disagreement below 1e-12 dB±0.000000000001 dB0 dB0.0 %
PassISO 51351999Sound power level in the duct (Eq. (1))63 Hz = 71.2255 dB; 125 Hz = 66.1429 dB; 250 Hz = 62.5007 dB; 500 Hz = 60.7724 dB; 1000 Hz = 60.2063 dB; 2000 Hz = 60.0525 dB63 Hz = 71.2255 dB; 125 Hz = 66.1429 dB; 250 Hz = 62.5007 dB; 500 Hz = 60.7724 dB; 1000 Hz = 60.2063 dB; 2000 Hz = 60.0525 dB±0 dB0 dB0.0 %
PassISO 51351999Least-squares operating line (5.5.2)slope [dB/decade] = 20; level at 0,2 m³/s [dB] = 50; worst deviation [dB] = 0; lowest readable duty [m³/s] = 0.025; highest readable duty [m³/s] = 1.6slope [dB/decade] = 20; level at 0,2 m³/s [dB] = 50; worst deviation [dB] = 0; lowest readable duty [m³/s] = 0.025; highest readable duty [m³/s] = 1.6±000.0 %
HVAC noise (VDI 2081)57/57
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassVDI 2081 Blatt 22005-05Table 1, element 1Supply fan sound power at 63 Hz, dB90.4 dB90.41 dB±0.05 dB0.006 dB12 %
PassVDI 2081 Blatt 22005-05Table 1, element 1Supply fan sound power at 125 Hz, dB88.8 dB88.82 dB±0.05 dB0.022 dB44 %
PassVDI 2081 Blatt 22005-05Table 1, element 1Supply fan sound power at 250 Hz, dB86.3 dB86.32 dB±0.05 dB0.019 dB38 %
PassVDI 2081 Blatt 22005-05Table 1, element 1Supply fan sound power at 500 Hz, dB82.9 dB82.91 dB±0.05 dB0.01 dB20 %
PassVDI 2081 Blatt 22005-05Table 1, element 1Supply fan sound power at 1000 Hz, dB78.6 dB78.59 dB±0.05 dB-0.006 dB12 %
PassVDI 2081 Blatt 22005-05Table 1, element 1Supply fan sound power at 2000 Hz, dB73.4 dB73.37 dB±0.05 dB-0.027 dB54 %
PassVDI 2081 Blatt 22005-05Table 1, element 1Supply fan sound power at 4000 Hz, dB67.2 dB67.24 dB±0.05 dB0.045 dB90 %
PassVDI 2081 Blatt 22005-05Table 1, element 1Supply fan sound power at 8000 Hz, dB60.2 dB60.21 dB±0.05 dB0.011 dB22 %
PassVDI 2081 Blatt 12001-07Eq. (13)Fan sound power level L_W4 from the duty, dB96 dB96.041 dB±0.05 dB0.041 dB82 %
PassVDI 2081 Blatt 22005-05Table 1, element 1Supply fan total sound power level, dB94.1 dB94.124 dB±0.05 dB0.024 dB48 %
PassVDI 2081 Blatt 22005-05Table 1, element 1Supply fan A-weighted sound power level, dB84.5 dB84.511 dB±0.05 dB0.011 dB22 %
PassVDI 2081 Blatt 22005-05Table 1, element 5Rectangular duct 500 x 400 mm over 4 m, worst octave deviation, dB0 dB0 dB±0.00000100 dB0 dB0.0 %
PassVDI 2081 Blatt 22005-05Table 1, element 13Round duct 160 mm over 1 m, worst octave deviation, dB0 dB0 dB±0.00000100 dB0 dB0.0 %
PassVDI 2081 Blatt 12001-07Eq. (34)Limit frequency of a 160 mm round duct, Hz1245 Hz1245.4 Hz±0.5 Hz0.403 Hz81 %
PassVDI 2081 Blatt 22005-05Table 1, element 14Round bend 160 mm, Table 7 shifted onto its limit frequency, worst octave deviation, dB0 dB0 dB±0.00000100 dB0 dB0.0 %
PassVDI 2081 Blatt 22005-05Table 1, element 3Junction into 0.3 m2 of 1.08 m2 total, dB5.6 dB5.563 dB±0.05 dB-0.037 dB74 %
PassVDI 2081 Blatt 22005-05Table 1, element 7Junction into 0.049 m2 of 0.147 m2 total, dB4.8 dB4.771 dB±0.05 dB-0.029 dB58 %
PassVDI 2081 Blatt 22005-05Table 1, element 16Junction into 0.02 m2 of 0.04 m2 total, dB3 dB3.01 dB±0.05 dB0.01 dB20 %
PassVDI 2081 Blatt 12001-07Eq. (16)Flow noise of a straight duct, overall sound power level, dB38 dB38.31 dB±0.5 dB0.306 dB61 %
PassVDI 2081 Blatt 12001-07Eq. (17)Flow noise of a straight duct, A-weighted sound power level, dB22 dB21.62 dB±0.5 dB-0.376 dB75 %
PassVDI 2081 Blatt 22005-05Table 1, element 3Junction flow noise at 63 Hz, dB39.1 dB39.09 dB±0.05 dB-0.011 dB22 %
PassVDI 2081 Blatt 22005-05Table 1, element 3Junction flow noise at 125 Hz, dB33.5 dB33.53 dB±0.05 dB0.031 dB62 %
PassVDI 2081 Blatt 22005-05Table 1, element 3Junction flow noise at 250 Hz, dB27.4 dB27.36 dB±0.05 dB-0.039 dB78 %
PassVDI 2081 Blatt 22005-05Table 1, element 3Junction flow noise at 500 Hz, dB20.7 dB20.72 dB±0.05 dB0.021 dB42 %
PassVDI 2081 Blatt 22005-05Table 1, element 3Junction flow noise at 1000 Hz, dB13.7 dB13.67 dB±0.05 dB-0.034 dB68 %
PassVDI 2081 Blatt 22005-05Table 1, element 3Junction flow noise at 2000 Hz, dB6.2 dB6.24 dB±0.05 dB0.038 dB76 %
PassVDI 2081 Blatt 22005-05Table 1, element 3Junction flow noise at 4000 Hz, dB-1.5 dB-1.53 dB±0.05 dB-0.028 dB56 %
PassVDI 2081 Blatt 22005-05Table 1, element 3Junction flow noise at 8000 Hz, dB-9.6 dB-9.61 dB±0.05 dB-0.006 dB12 %
PassVDI 2081 Blatt 22005-05Table 1, element 14Bend flow noise, worst octave deviation, dB0 dB0.0496 dB±0.05 dB0.0496 dB99 %
PassVDI 2081 Blatt 12001-07Eq. (49)Splitter silencer self-noise, A-weighted sound power level, dB52 dB52.099 dB±0.5 dB0.099 dB20 %
PassVDI 2081 Blatt 22005-05Table 1, element 2Splitter silencer self-noise at 63 Hz, dB62.7 dB62.74 dB±0.05 dB0.036 dB72 %
PassVDI 2081 Blatt 22005-05Table 1, element 2Splitter silencer self-noise at 125 Hz, dB58.3 dB58.26 dB±0.05 dB-0.038 dB76 %
PassVDI 2081 Blatt 22005-05Table 1, element 2Splitter silencer self-noise at 250 Hz, dB53.7 dB53.72 dB±0.05 dB0.019 dB38 %
PassVDI 2081 Blatt 22005-05Table 1, element 2Splitter silencer self-noise at 500 Hz, dB49.4 dB49.39 dB±0.05 dB-0.005 dB10.0 %
PassVDI 2081 Blatt 22005-05Table 1, element 2Splitter silencer self-noise at 1000 Hz, dB45.4 dB45.43 dB±0.05 dB0.026 dB52 %
PassVDI 2081 Blatt 22005-05Table 1, element 2Splitter silencer self-noise at 2000 Hz, dB41.9 dB41.85 dB±0.05 dB-0.046 dB92 %
PassVDI 2081 Blatt 22005-05Table 1, element 2Splitter silencer self-noise at 4000 Hz, dB38.6 dB38.62 dB±0.05 dB0.017 dB34 %
PassVDI 2081 Blatt 22005-05Table 1, element 2Splitter silencer self-noise at 8000 Hz, dB35.6 dB35.56 dB±0.05 dB-0.041 dB82 %
PassVDI 2081 Blatt 22005-05Table 2, element 18End reflection of a 200 mm nozzle in a ceiling, worst octave deviation, dB0 dB0.0449 dB±0.05 dB0.0449 dB90 %
PassVDI 2081 Blatt 22005-05Section 1.1Spectral assessment correction K_A, worst octave deviation, dB0 dB0 dB±1.00e-9 dB0 dB0.0 %
PassVDI 2081 Blatt 22005-05Table 1, elements 1 to 3Chained level after fan, silencer and junction, worst octave deviation, dB0 dB0.0719 dB±0.1 dB0.0719 dB72 %
PassVDI 2081 Blatt 22005-05Table 1, element 20Room attenuation of a ceiling diffuser, worst octave deviation, dB0 dB0.0467 dB±0.05 dB0.0467 dB93 %
PassVDI 2081 Blatt 12001-07Eq. (36)Room attenuation of a hemispherical outlet, dB5.7 dB5.675 dB±0.05 dB-0.025 dB50 %
PassVDI 2081 Blatt 22005-05Table 1, element 20Sound pressure level in room 102, worst octave deviation, dB0 dB0.4913 dB±0.5 dB0.4913 dB98 %
PassVDI 2081 Blatt 22005-05Table 1, element 20Total sound pressure level in room 102, dB51.4 dB51.384 dB±0.05 dB-0.016 dB32 %
PassVDI 2081 Blatt 22005-05Table 1, element 20A-weighted sound pressure level in room 102, dB40 dB40.037 dB±0.05 dB0.037 dB74 %
PassVDI 2081 Blatt 12001-07Section 6.3, Figure 26Reflection at a section change of ratio 0.05, dB7.4135 dB7.4135 dB±0.05 dB0 dB0.0 %
PassVDI 2081 Blatt 12001-07Section 6.3, Figure 26Reflection at a section change of ratio 0.1, dB4.8073 dB4.8073 dB±0.05 dB0 dB0.0 %
PassVDI 2081 Blatt 12001-07Section 6.3, Figure 26Reflection at a section change of ratio 0.2, dB2.5527 dB2.5527 dB±0.05 dB0 dB0.0 %
PassVDI 2081 Blatt 12001-07Section 6.3, Figure 26Reflection at a section change of ratio 0.5, dB0.5115 dB0.5115 dB±0.05 dB0 dB0.0 %
PassVDI 2081 Blatt 12001-07Section 6.3, Figure 26Reflection at a section change of ratio 1, dB0 dB0 dB±0.05 dB0 dB0.0 %
PassVDI 2081 Blatt 12001-07Section 6.3, Figure 26Reflection at a section change of ratio 2, dB0.5115 dB0.5115 dB±0.05 dB0 dB0.0 %
PassVDI 2081 Blatt 12001-07Section 6.3, Figure 26Reflection at a section change of ratio 5, dB2.5527 dB2.5527 dB±0.05 dB0 dB0.0 %
PassVDI 2081 Blatt 12001-07Section 6.3, Figure 26Reflection at a section change of ratio 7, dB3.5902 dB3.5902 dB±0.05 dB0 dB0.0 %
PassVDI 2081 Blatt 12001-07Section 6.3, Figure 26Reflection at a section change of ratio 10, dB4.8073 dB4.8073 dB±0.05 dB0 dB0.0 %
PassVDI 2081 Blatt 12001-07Section 6.3, Figure 26Bands a sudden increase still reflects in, of eight22±0.500.0 %
PassVDI 2081 Blatt 12001-07Section 6.3Ceiling VDI 3733 recommends for a section change, dB5 dB5 dB±0.05 dB0 dB0.0 %
CNOSSOS-EU railway source (Directive 2002/49/EC Annex II)8/8
StatusStandardQuantityExpected (norm)ComputedLimitDeviationUsed
PassCIRCABC CNOSSOS-EUrailway emission test setLine power of the 123 committed cases of the published test set, both source heights, 8 octave bands each, dB re 1 pW/m<= 0.01 dB on 984 published band levels (123 cases)0.0055 dB±0.01 dB0.0055 dB55 %
PassDirective 2002/49/ECAppendix G Tables G-1a and G-1b (roughness)Wheel roughness by brake type (3 x 32) and rail roughness by class (2 x 35), dB166 coefficients identical166/166 coefficients±000.0 %
PassDirective (EU) 2021/1226Annex pt (20)(b), Table G-2Contact filter A3 for 5 wheel load and diameter combinations x 35 wavelengths, dB175 coefficients identical175/175 coefficients±000.0 %
PassDirective 2002/49/ECAppendix G Table G-3 (transfer functions)Track transfer (8 x 24), wheel transfer (4 x 24) and superstructure transfer (24), dB per axle312 coefficients identical312/312 coefficients±000.0 %
PassDirective 2002/49/ECAppendix G Tables G-4 to G-7Impact roughness (35), traction (5 x 2 x 24), aerodynamic (2 x 24) and bridge (2 x 24), dB371 coefficients identical371/371 coefficients±000.0 %
PassDirective 2002/49/ECAnnex II 2.3.2, formula (2.3.15)Horizontal dipole directivity along the track: 10 lg(0,01) at phi = 0-20 dB-20 dB±1.00e-12 dB0 dB0.0 %
PassDirective 2002/49/ECAnnex II 2.3.2, formulae (2.3.13) and (2.3.14)Aerodynamic speed law at v0 = 300 km/h reduces to Table G-6 verbatim50 lg 2 = 15.051 dB on every band0 dB±1.00e-12 dB0 dB0.0 %
PassDirective 2002/49/ECAnnex II 2.3.2, formula (2.3.12)Impact roughness at the tabulated joint density n_l = 0,01 per mTable G-4 verbatim0 dB±1.00e-12 dB0 dB0.0 %