reverberation Sabine RT60 calculation reverb time Sabin formula online - sengpielaudio
 
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Calculation of the reverberation time
 
after SabineRT 60 decay
 
In 1898, Wallace C. Sabine (Sabin) (1868 - 1919) came up with the reverb time formula, but the article "Collected Papers on Acoustics" appeared in print 1922.
Don't be shocked by this early date from 1898, because today his ingenious formula is unchanged in constant use.

 
Reverberation time RT60 = k · V / A = 0.049 · V / A (V and A in feet)
 
Reverberation time RT60 = k · V / A = 0.161 · V / A (V and A in meter)
 
with the factor k = (24 × ln 10) / c20 = 0.049 (feet) or with k = (24 × ln 10) / c20 = 0.161 (meter)
 
RT60 = reverberation time in s (reverb time)
V = room volume in m3
A = α × S = equivalent absorption surface or area in m2
α =
absorption coefficient or attenuation coefficient
The terms "attenuation coefficient" and "absorption coefficient" are used interchangeably
S = absorbing surface area in m2
A = α1 × S1 + α2 × S2 + α3 × S3 + ...
c20 =
speed of sound is 343 m/s or 1126 ft/s at 20°C

 
 
Sound engineers and "ear people" mostly use the usual sound field quantity. They therefore state:
RT60 is the reverberation time, it takes for the
sound pressure level Lp to decrease to (−)60 dB.
This is the thousandth part (10−3) of the initial sound pressure
p.
 
Acousticians and "noise fighters" like more the sound energy quantity. They express this differently:
RT60 is the reverberation time, it takes for the
sound intensity level LI to decrease to (−)60 dB.
This is the millionth part (10−6) of the initial sound intensity
I.
Sound pressure (sound field quantity) is not sound intensity (sound energy quantity). I ~ p2
 
Sometimes you can hear the statement:
RT60 is the reverberation time, it takes for the
sound level L to decrease to (−)60 dB.
Whatever the users want to tell us so accurately.
Level is level or dB is dB.
 
 
Reverberation time (RT) is a measure of the amount of reverberation in a space and equal to the time required for the level of a steady sound to decay by 60 dB after the sound has stopped.
The
decay rate depends on the amount of sound absorption in a room, the room geometry, and the frequency of the sound. RT is expressed in seconds. This decay is usually measured over the first 10, 20 or 30 dB and then extrapolated to the full 60 dB range. The frequency dependent reverberation time of a room is usually given for the center of a third octave band filter frequency of 500 Hz or 1 kHz or a frequency dependent response curve of the reverberation time of the frequency, but this is not a "frequency response" of the reverberation.
 
k is a constant that equals 0.161 when the units of measurement are expressed in meters and 0.049 when units are expressed in feet.
A = S × α is the total surface absorption A of a room expressed in sabins. It is the sum of all the surface areas in the room multiplied by their respective absorption coefficients. The absorption coefficients α express the absorption factor of materials at given frequencies.
V is the volume of the enclosure. The figures used in this calculator come from the
table of absorption coefficients for various materials which can be found in any book that talks about room acoustics.

Enter the measurements of the room
and make sure to specify the units.

 
  Width Length Height feet meters  
 
Walls Material Windows, doors and other surfaces
Deflection Material Size How many
Front x
Back x
Left x
Right x
Ceiling x
Floor x

125 Hz 250 Hz 500 Hz 1000 Hz 2000 Hz 4000 Hz

Estimated RT 60 of this room is seconds.

            

Absorption Coefficients α of Building Materials and Finishes

The reverberation time with the symbols T or T60 is the most popular room acoustic parameter that is fundamental. The reverberation time after Wallace C. Sabine (1868 - 1919) is the time interval within which the sound pressure dropped to a value of 10−3, the "thousandth" of its initial value. In practice, the reverberation time is defined as that interval during which the sound pressure level decreases by 60 dB. Acousticians rather consider, however, the sound intensity.

Reverb time RT60
 
The reverberation time is the time interval within which the sound level in a room has faded away by 60 dB.
Note: This sound pressure is the thousandth part of the initial sound pressure and the sound intensity is the millionth part of the initial sound intensity. Often this is confusing, because the
sound pressure as a sound field quantity is mixed with the sound intensity as a sound energy quantity. Notice: I ~ p2.

Calculating the three room modes − eigenmodes or eigenfrequencies

Standing waves (acoustic resonances)

Critical distance  Formula critical distance
 
V = Room volume in m3
c = Speed of sound is 343 m/s or 1126 ft/s at 20°C
RT60 = Reverberation time in s (reverb time)
The critical distance
rH means D/R = 1
 
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