Paritian

Science

Reverberation Time Calculator

RT60 by Sabine and by Eyring, with the room volume, total absorption, Schroeder frequency and critical distance.

Results

RT60 by Sabine 0.6935 s
RT60 by Eyring 0.6401 s
Room volume 67.200
Surface area of the room 104.000
Total absorption 15.600 m² sabin
Schroeder frequency 203.18 Hz
Mean free path of a sound ray 2.5846 m
Absorption in the room now 15.600 m² sabin
Critical distance 0.561 m

What this tool does

Reverberation time is the room's memory: how long a sound takes to fall by sixty decibels after it stops. Sabine's formula is the one everybody quotes and it is accurate in a live room; Eyring's is the one to use when the room is well treated, because Sabine's answer never reaches zero however much absorption you add. Both are shown, and they part company above about a quarter absorption.

Formula

Sabine: RT60 = 0.161 V ÷ A · Eyring: RT60 = 0.161 V ÷ (−S ln(1 − ᾱ)) · A = S ᾱ

Variables

SymbolMeaningUnit
lRoom lengthm
wRoom widthm
hRoom heightm
alAverage absorption coefficient
exAbsorption already installedm² sabin
RTRT60 by Sabines
RERT60 by Eyrings
VORoom volume
SUSurface area of the room
ABTotal absorptionm² sabin
SCSchroeder frequencyHz
MFMean free path of a sound raym
NAAbsorption in the room nowm² sabin
CDCritical distancem

Worked example

  • Room length6 m
  • Room width4 m
  • Room height2.8 m
  • Average absorption coefficient0.15
  • Absorption already installed0 m² sabin
  • RT60 by Sabine0.6935 s
  • RT60 by Eyring0.6401 s
  • Room volume67.200 m³
  • Surface area of the room104.000 m²
  • Total absorption15.600 m² sabin
  • Schroeder frequency203.18 Hz
  • Mean free path of a sound ray2.5846 m
  • Absorption in the room now15.600 m² sabin
  • Critical distance0.561 m

Limitations

  • The result is an estimate based only on the values you type. Real situations often include factors this calculator does not know about.
  • The calculation runs at full precision and only the display is rounded. If you copy an intermediate value and retype it, small differences can appear.
  • Mixing units is the most common source of error. Convert every input to the units shown next to each field before calculating.