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Glossary

The guides each open with the standard they implement, so a quantity is always defined where it is used. This page is the other direction: you have a symbol, from a report, a specification or a colleague’s email, and you want to know what it is, what it is measured in, which document defines it and where in this documentation it is computed.

Two conventions govern the fourth column, and they matter more than they look. Where a clause, formula or table number appears, it is the one the implementation cites, taken from the standard the guide implements. Where only a designation appears, the standard is established but the defining clause is not stated anywhere in this documentation, and inventing a plausible one would be worse than leaving it out. A handful of quantities have no governing standard at all; their source is the paper or book the model comes from, named as such.

Symbols collide across domains, and the table does not pretend otherwise. R is the sound reduction index in building acoustics, the airflow resistance in materials, the roughness in psychoacoustics and the cumulative stress variable in ISO 2631-5. Sigma is the airflow resistivity of a porous material and the radiation efficiency of a plate. A is an equivalent absorption area and an accelerance. LN is a percentile level here and a loudness level in phon there. Read the symbol together with its domain, which is what the grouping below is for.

For the source of each definition rather than the definition itself, the bibliography lists every cited work with a DOI or publisher link, and the conformance report shows the numerical check that pins each quantity to its standard’s own expected value.

Sound pressure, power and intensity levels

Section titled “Sound pressure, power and intensity levels”
SymbolQuantityUnitDefined inGuide
LpSound pressure level: twenty times the base-10 logarithm of the r.m.s. sound pressure over the reference pressure.dB re 20 µPaIEC 61672-1:2013Calibration
LeqEquivalent continuous sound pressure level: the level of the steady sound carrying the same mean-square pressure over the interval.dBIEC 61672-1:2013Levels
LAeqThe same integral applied to the A-weighted signal, the default descriptor of environmental and occupational noise.dBIEC 61672-1:2013Levels
LAE, SELSound exposure level: the whole A-weighted energy of a single event normalised to one second.dBIEC 61672-1:2013, Equation 8 (Table 4)Levels
LCpeakC-weighted peak sound level: the absolute maximum of the C-weighted pressure, not a time-weighted maximum.dBIEC 61672-1:2013, subclause 5.13Levels
LN (L10, L50, L90)Percentile level: the level exceeded N % of the measurement time, read off the time-weighted level distribution.dBISO 1996-2:2017 (Annex I uses L90 as the residual level)Levels
LW, SWLSound power level: the power a source radiates, referred to 1 pW.dB re 1 pWISO 3745:2012, Clause 8Sound power
LISound intensity level: the magnitude of the intensity vector referred to 1 pW/m², with the flow direction reported separately as a sign.dB re 1 pW/m²IEC 61043:1993Intensity
Lp − LIPressure-intensity index: the difference between the pressure and intensity levels at a position, the field indicator that qualifies an intensity measurement.dBISO 9614-1:1993, Equation (A.3)Intensity

Environmental and occupational descriptors

Section titled “Environmental and occupational descriptors”
SymbolQuantityUnitDefined inGuide
LdenDay-evening-night level: the energy mean of the three periods with 5 dB added to the evening and 10 dB to the night.dBISO 1996-1:2016, 3.6.4Levels
LdnDay-night level: the same construction with the 10 dB night penalty only.dBISO 1996-1:2016, 3.6.5Levels
LrRating level: the whole-day composite level after the source-character and time-of-day adjustments.dBISO 1996-1:2016, clause 6.5 (Formulae 5 and 6)Levels
LAr,TRating level of an impulsive source over a reference interval, LAeq plus the graduated impulse adjustment.dBNT ACOU 112:2002, clause 8Impulse prominence
KIImpulse adjustment added to LAeq, graduated by the predicted prominence of the impulses.dBNT ACOU 112:2002, clause 8Impulse prominence
ESound exposure: the time integral of the squared A-weighted sound pressure over the exposure period.Pa²hIEC 61252:1993, 3.1Levels
LEX,8h, LEP,dDaily noise exposure level: the steady level that, sustained over a nominal 8 h day, carries the same A-weighted sound exposure as the measured one.dBIEC 61252:1993, 3.3Occupational exposure
Lp,A,eqTA-weighted equivalent continuous level of a task, a job sample or a full day, the building block LEX,8h is assembled from.dBISO 9612:2009, clauses 9 to 11Occupational exposure
NIPTSNoise-induced permanent threshold shift: the median hearing loss attributable to a stated exposure level, duration and audiometric frequency.dBISO 1999:2013Noise-induced hearing loss
HTLANHearing threshold level associated with age and noise: the NIPTS combined with the age component.dBISO 1999:2013Noise-induced hearing loss
SymbolQuantityUnitDefined inGuide
A, C, ZThe normative frequency weightings: the ear-response curves applied before integration, Z being the flat reference.dBIEC 61672-1:2013, Annex E (acceptance limits in Table 3)Weighting
GInfrasound weighting, defined by its poles and zeros for the 0.25 Hz to 315 Hz range.dBISO 7196:1995, Table 1 (nominal responses in Table 2)Weighting
BHistorical mid-level weighting, withdrawn from the current meter standard.dBANSI S1.4-1983, Appendix C (Formula C2)Weighting
DHistorical aircraft-noise weighting, derived from the 40-noy perceived-noisiness contour.dBIEC 537:1976 (withdrawn)Weighting
AUWeighting for audible sound measured in the presence of ultrasound.dBIEC 61012:1990, subclause 2.2 (Tables 1 and 2)Weighting
F, S, IFast, Slow and Impulse exponential time weightings: the detector ballistics that produce a displayed level.s (time constant)IEC 61672-1:2013Time weighting
SymbolQuantityUnitDefined inGuide
T20Reverberation time extrapolated to a 60 dB decay from a least-squares fit over −5 dB to −25 dB of the Schroeder curve.sISO 3382-2:2008, Clause 6 and Annex CRoom acoustics
T30The same extrapolation from a fit over −5 dB to −35 dB, the usual choice when the decay range allows it.sISO 3382-2:2008, Clause 6 and Annex CRoom acoustics
T60, RTReverberation time as such: the time for the sound energy to fall by 60 dB. Measured in practice as T20 or T30.sISO 3382-1:2009Room acoustics
EDTEarly decay time: the same slope taken over the first 10 dB of decay, which tracks perceived reverberance rather than the tail.sISO 3382-1:2009 (just-noticeable difference in Table A.1)Room acoustics
C50Clarity for speech: the energy ratio between the first 50 ms of the impulse response and everything after it.dBISO 3382-1:2009Room acoustics
C80Clarity for music: the same ratio with the boundary at 80 ms.dBISO 3382-1:2009 (just-noticeable difference in Table A.1)Room acoustics
D50Definition, or Deutlichkeit: the fraction of the total energy arriving in the first 50 ms.dimensionlessISO 3382-1:2009 (just-noticeable difference in Table A.1)Room acoustics
TsCentre time: the centre of gravity of the squared impulse response in time, a boundary-free alternative to the clarity indices.sISO 3382-1:2009, Equation (A.13)Room acoustics
AEquivalent sound absorption area of a room: the area of a perfectly absorbing surface that would give the same reverberation time.ISO 354:2003, Equations (5) and (7)Materials
NCNoise criteria rating of a background spectrum: the speech interference level selects the curve, and the tangency method rates the spectrum when a band exceeds it.dB (index)ANSI/ASA S12.2-2019, 5.2.2 and 5.2.3 (curves in Table 1)Room noise
SILSpeech interference level: the average of the 500, 1000, 2000 and 4000 Hz octave-band levels.dBANSI/ASA S12.2-2019, clause 3.2Room noise
RCRoom criteria Mark II rating: the average of the 500, 1000 and 2000 Hz levels, with a rumble, hiss or neutral spectral tag.dB (index)ANSI/ASA S12.2-2019, Annex D (clauses D.3 and D.4)Room noise
NRNoise rating, the European counterpart curve family of NC. Discussed for comparison and deliberately not implemented.dB (index)Kosten and van Os (1962); no governing standardRoom noise
SymbolQuantityUnitDefined inGuide
m(F)Modulation transfer function: the fraction of the speech envelope modulation depth at modulation frequency F that survives the transmission path.dimensionlessIEC 60268-16:2020Speech transmission
STISpeech transmission index: the modulation transfer matrix converted to effective signal-to-noise ratios and weighted into a single value on 0 to 1.dimensionlessIEC 60268-16:2020, A.5.2 to A.5.6Speech transmission
STIPAThe direct STI measurement, made by playing a standardised two-modulation-per-band test signal through the real chain.dimensionlessIEC 60268-16:2020, clause 6.3 and Table 3 (direct method, Annex B)Speech transmission
SIISpeech intelligibility index: the band-importance-weighted audibility of the speech spectrum against noise and the listener’s threshold.dimensionlessANSI S3.5-1997, clause 6 (procedure in clause 5, importance function in Table 3)Speech intelligibility
STOIShort-time objective intelligibility: the clipped per-band envelope correlation between clean and degraded speech.dimensionlessTaal et al. (2011), Equations 5 and 6; no governing standardObjective intelligibility
ESTOIThe extended measure, row- and column-normalised so that it tracks modulated maskers.dimensionlessJensen and Taal (2016), Equation 8; no governing standardObjective intelligibility
SymbolQuantityUnitDefined inGuide
DLevel difference: the energy-averaged source-room level minus the receiving-room level, with no normalisation.dBISO 16283-1:2014, 3.12 to 3.15Field insulation
DnTStandardized level difference: the level difference referred to a reference reverberation time, 0.5 s for dwellings.dBISO 16283-1:2014, 3.12 to 3.15Field insulation
DnNormalized level difference: the level difference referred to a reference absorption area of 10 m².dBISO 10052:2021Field insulation
Dn,eElement-normalized level difference of a small element or air path, referred to a reference area of 10 m².dBEN 12354-3:2000Insulation prediction
RSound reduction index: the level difference corrected by the partition area over the receiving-room absorption area, measured in the laboratory with flanking suppressed.dBISO 10140-2:2010Laboratory insulation
R′Apparent sound reduction index: the same construction measured in the building, so it includes every flanking path. The prime is the lab-versus-field marker.dBISO 16283-1:2014, 3.12 to 3.15Field insulation
TLTransmission loss: the airborne insulation of a panel predicted from its physical properties, the same quantity as R in a prediction context.dBBies, Hansen and Howard (2017), Section 7.2; no governing standardPanel insulation
Rw, R′w, DnT,wThe weighted single-number ratings: a fixed reference curve is shifted toward the measured spectrum until the unfavourable deviations reach their allowed sum, and the shifted curve is read at 500 Hz.dBISO 717-1:2020Field insulation
Dn,e,wThe same reference-curve rating applied to the element-normalized level difference.dBISO 717-1:2020Insulation prediction
C, CtrSpectrum adaptation terms: the corrections that re-rate the measured curve against A-weighted pink noise (C) and against A-weighted urban road traffic (Ctr).dBISO 717-1:2020, Annex AField insulation
LnNormalized impact sound pressure level: the receiving-room level under the standard tapping machine, referred to a 10 m² absorption area.dBISO 10140-3:2010Laboratory insulation
L′nTStandardized impact sound pressure level, referred to a reference reverberation time. Note the sign: more reverberation lowers it, the opposite of DnT.dBISO 16283-2:2015Field insulation
Ln,w, L′nT,wThe weighted impact ratings. The reference curve is shifted the same way, but an unfavourable deviation is now one where the measurement exceeds the reference.dBISO 717-2:2020Field insulation
CIImpact spectrum adaptation term, from the energetic sum over 100 Hz to 2500 Hz. The enlarged-range CI,50-2500 extends it down to 50 Hz.dBISO 717-2:2020 (enlarged range in A.2.1 NOTE)Field insulation
ΔLwWeighted reduction of impact sound pressure level given by a floor covering, measured as the improvement over the bare reference floor.dBISO 717-2:2020 (measurement in ISO 16251-1:2014, Formulae (3) and (4))Laboratory insulation
ΔRwWeighted improvement of airborne insulation contributed by a lining or additional layer, added to the element rating in the prediction.dBEN 12354-1:2000, Formulae 27 and 28aInsulation prediction
KijVibration reduction index of a junction: the direction-averaged velocity level difference corrected by the junction length and the equivalent absorption lengths.dBISO 10848-1:2006, Formula (13)Laboratory insulation
fcCritical frequency: the frequency at which the bending wavelength of a panel equals the wavelength in air, where the coincidence dip appears.HzBies, Hansen and Howard (2017), Equation 7.3; no governing standardPanel insulation
σRadiation efficiency of a plate: the airborne power radiated per unit mean-square surface velocity, normalised by the plane-wave value.dimensionlessHopkins (2007), Equations 2.227 to 2.230; no governing standardPanel insulation
SymbolQuantityUnitDefined inGuide
αSound absorption coefficient at normal incidence: the fraction of incident energy not returned by the surface, obtained in the impedance tube from the reflection factor.dimensionlessISO 10534-2:1998, Equations (17) to (19)Materials
αsRandom-incidence sound absorption coefficient measured in a reverberation room, from the change in equivalent absorption area with and without the specimen.dimensionlessISO 354:2003, Equations (8) and (9)Materials
αpPractical sound absorption coefficient: the one-third-octave data grouped into octave bands and rounded to steps of 0.05.dimensionlessISO 11654:1997, Clause 4.1Materials
αwWeighted sound absorption coefficient: the fixed reference curve shifted toward the practical values and read at 500 Hz.dimensionlessISO 11654:1997, Clause 4.2Materials
Absorption classThe A to E letter class the weighted coefficient maps to, or “not classified”.class letterISO 11654:1997, Table B.1Materials
RAirflow resistance: the pressure difference across a specimen divided by the volumetric airflow rate through it.Pa·s/m³ISO 9053-1:2018, Clause 3Materials
RsSpecific airflow resistance: the airflow resistance referred to the specimen face area.Pa·s/mISO 9053-1:2018, Clause 3Materials
σAirflow resistivity: the specific airflow resistance per unit thickness, the primary input to every empirical porous model.Pa·s/m²ISO 9053-1:2018, Clause 3Materials
ZSurface impedance: the complex ratio of sound pressure to particle velocity at the face of the sample, usually reported normalised by the characteristic impedance of air.Pa·s/mISO 10534-2:1998, Equations (17) to (19)Materials
sScattering coefficient: the fraction of reflected energy that is not returned specularly, measured at random incidence on a turntable in a reverberation room.dimensionlessISO 17497-1:2004+A1:2014, Formula (5)Surface scattering
dDiffusion coefficient: the uniformity of the polar response of a surface, from the autocorrelation of the free-field goniometer measurement.dimensionlessISO 17497-2:2012, Formula (5) (normalised form in Formula (7))Surface scattering
s′Dynamic stiffness per unit area of a resilient layer: a dynamic force per unit area divided by the resulting change in thickness.MN/m³EN 29052-1:1992 (ISO 9052-1:1989), Formula 1Dynamic stiffness
SymbolQuantityUnitDefined inGuide
YMobility: the complex ratio of a velocity response to the force that produces it.m/(N·s)ISO 7626-1:2011, 3.1.2 and Table 1Mechanical mobility
ZMechanical impedance: the reciprocal of mobility, force per unit velocity.N·s/mISO 7626-1:2011, Table 1Mechanical mobility
HReceptance, or dynamic compliance: displacement response per unit force, the pivot the whole family converts through.m/NISO 7626-1:2011, Table 1Mechanical mobility
AAccelerance, or inertance: acceleration response per unit force. Its reciprocal is the apparent mass.1/kgISO 7626-1:2011, Table 1Mechanical mobility
k21Dynamic transfer stiffness of a resilient element: the blocking force on the output side divided by the displacement on the input side.N/mISO 10846-1:2008, 3.7Transfer stiffness
LkLevel of the dynamic transfer stiffness, referred to 1 N/m.dB re 1 N/mISO 10846-2:2008 and ISO 10846-3:2002, 3.17Transfer stiffness
ηLoss factor of a resilient element: the tangent of the phase angle of its dynamic transfer stiffness.dimensionlessISO 10846-1:2008, 3.8Transfer stiffness
awFrequency-weighted acceleration: the root sum of squares of the band accelerations after the human-response weightings.m/s²ISO 2631-1:1997, Equation (9)Human vibration
A(8)Daily vibration exposure: the exposure magnitude normalised to a reference 8 h day, combined over the operations of the day.m/s²ISO 5349-1:2001, Equations (2) and (3)Human vibration
VDVVibration dose value: the fourth-power time integral of the weighted acceleration, which weights shocks far more heavily than an r.m.s. does.m/s^1.75ISO 2631-1:1997, Equation (5)Human vibration
MTVVMaximum transient vibration value: the largest 1 s running r.m.s. of the weighted acceleration.m/s²ISO 2631-1:1997, Equation (4)Human vibration
RCumulative stress variable of the multiple-shock model: the daily compressive stresses accumulated over the years of exposure, which the lumbar injury probability is read from.dimensionlessISO 2631-5:2018, Annex C (Formulae C.1 and C.3 to C.5)Multiple-shock vibration
LvVelocity level: twenty times the base-10 logarithm of the surface velocity over the reference velocity.dBISO/TS 7849-1:2009, Formula 3Vibration sound power
εRadiation factor, or radiation efficiency, of a vibrating machine surface: the airborne power radiated per unit mean-square velocity and area.dimensionlessISO/TS 7849-1:2009 and ISO/TS 7849-2:2009Vibration sound power
LWsStructure-borne sound power level injected by equipment into a reception plate.dB re 1 pWEN 15657:2018, Formula 14Structure-borne power
ηijCoupling loss factor: the fraction of energy per radian that a statistical energy analysis subsystem loses into a neighbouring one across a junction.dimensionlessHopkins (2007), Equation 2.154; no governing standardJunction transmission
SymbolQuantityUnitDefined inGuide
NLoudness: the perceived magnitude of a sound, anchored so that a 1 kHz tone at 40 dB SPL is exactly 1 sone.soneISO 532-1:2017, clause 5 (stationary) and clause 6 (time-varying)Loudness
N′Specific loudness: the loudness density along the critical-band scale, whose integral is N.sone/BarkISO 532-1:2017 (sone/Cam form in ISO 532-2:2017, Formula 7)Loudness
LNLoudness level: the level of the 1 kHz free-field tone judged equally loud as the sound.phonISO 226:2023, Formula (2) (contours in Formula (1))Loudness
SSharpness: the position of the centre of gravity of the specific loudness on the critical-band scale, normalised so that the reference narrow-band noise is exactly 1 acum.acumDIN 45692:2009, clause 6Sound quality
RRoughness: the perceived harshness of fast amplitude modulation, around 70 Hz, normalised so that the reference modulated tone is 1 asper.asperECMA-418-2:2025, clause 7 (Formula 104)Sound quality
FFluctuation strength: the perceived slow amplitude modulation, around 4 Hz, normalised so that the reference modulated tone is 1 vacil.vacilECMA-418-2:2025, clause 9 (Formula 163)Sound quality
TTonality: the perceived tonal content of a sound, derived from the autocorrelation of the band envelopes.tuECMA-418-2:2025, clause 6Sound quality
TNRTone-to-noise ratio: the level of a discrete tone above the masking noise in the critical band around it.dBECMA-418-1:2024, clause 11 (Formulae 9 to 11)Tone prominence
PRProminence ratio: the level of the critical band containing the tone above the mean of the two adjacent bands.dBECMA-418-1:2024, clause 12 (Formula 23)Tone prominence
ΔLAudibility of a tone in noise: the tone level minus the critical-band masking level minus the masking index.dBISO/PAS 20065:2016, Formula 14Tone audibility
PAPsychoacoustic annoyance: the percentile loudness scaled by sharpness and by a fluctuation-plus-roughness term.dimensionlessFastl and Zwicker (2007), Equation 16.2; no governing standardPsychoacoustic annoyance
SymbolQuantityUnitDefined inGuide
THDTotal harmonic distortion: the harmonic content of the output relative to the fundamental (THD_F) or to the total signal (THD_R).% or dBIEC 60268-3:2013, 14.12.2 to 14.12.11 (the R form in 14.12.3.2)Electroacoustics
THD+NTotal harmonic distortion plus noise: everything left after notching out the fundamental, within the standard measurement bandwidth.% or dBAES17-2015, clause 6.3.1 (notch and bandwidth in 5.2.5 and 5.2.8)Electroacoustics
SINADSignal to noise and distortion ratio, the reciprocal expression of THD+N.dBAES17-2015, clause 6.3.1Electroacoustics
IMDModulation intermodulation distortion: the sidebands a low-frequency tone produces around a high-frequency one.%IEC 60268-3:2013, 14.12.7Electroacoustics
DIMDynamic intermodulation distortion, measured with a 15 kHz sine against a filtered 3.15 kHz square wave.%IEC 60268-3:2013, 14.12.9Electroacoustics
LK, LUFSProgramme loudness: the channel-weighted sum of K-weighted mean-square powers, gated in 400 ms blocks. LUFS and LKFS name the same unit.LUFSITU-R BS.1770-5, Formula 2 (gating in Formulae 3 to 7)Programme loudness
LRALoudness range: the spread between the 10th and 95th percentiles of the gated short-term loudness distribution.LUEBU Tech 3342Programme loudness
dBTPTrue peak level: the peak of the signal reconstructed by oversampling, which catches the inter-sample peaks a sample-domain maximum misses.dBTPITU-R BS.1770-5, Annex 2Programme loudness
SymbolQuantityUnitDefined inGuide
PNLPerceived noise level: the 24 one-third-octave band levels converted to noisiness in noys and recombined.PNdBICAO Annex 16, Vol. I, Appendix 2 (noisiness law in Table A2-3)Aircraft noise
PNLTTone-corrected perceived noise level: PNL plus the penalty for spectral irregularities such as fan and turbine tones.PNdBICAO Annex 16, Vol. I, Appendix 2Aircraft noise
EPNLEffective perceived noise level: the maximum PNLT plus the duration correction over the 10 dB-down window, the noise-certification metric.EPNdBICAO Annex 16, Vol. I, Appendix 2Aircraft noise
Lp (underwater)Underwater sound pressure level, referred to 1 µPa rather than 20 µPa. An airborne level never converts to it by subtraction alone.dB re 1 µPaISO 18405:2017 (mean-square level in ISO 18406:2017, Formula 7)Underwater acoustics
SEL (underwater)Underwater sound exposure level, the time integral of squared pressure referred to 1 µPa²·s.dB re 1 µPa²·sISO 18405:2017Underwater acoustics
LRNRadiated noise level of a ship: the level of the product of the far-field r.m.s. pressure and the source distance.dB re 1 µPa·mISO 17208-1:2016Underwater acoustics
LsEquivalent monopole source level: the radiated noise level after the Lloyd’s-mirror surface correction, so that one number describes the source itself.dB re 1 µPa·mISO 17208-2:2019, Formula 3Underwater acoustics
SymbolQuantityUnitDefined inGuide
u(y)Combined standard uncertainty of a result, propagated from the standard uncertainties of its inputs by the law of propagation of uncertainty.unit of the resultISO/IEC Guide 98-3:2008 (JCGM 100:2008), clause 5GUM uncertainty
UExpanded uncertainty: the combined standard uncertainty multiplied by a coverage factor, which defines a coverage interval.unit of the resultISO/IEC Guide 98-3:2008 (JCGM 100:2008), clause 6 and Annex GGUM uncertainty
σRStandard uncertainty of a building-acoustics measurement situation, tabulated per quantity and situation.dBISO 12999-1:2020, Clause 5.2 (coverage factors in Table 8)Field insulation
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