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Audio Decay Time (T60)
In audio, a decay by
(one time-constant) is not enough to become inaudible, unless
the starting amplitude was extremely small.
In architectural acoustics (which includes the design of
concert halls [4]), a more commonly used measure of decay is ``
''
(or T60), which is defined as the
time to decay by
dB.4.7That is,
is obtained by solving the equation
Using the definition of the
exponential

, we find
Thus,

is about seven time constants. See where

is marked
on Fig.
4.7 compared with

.
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About the Author: Julius Orion Smith III
Julius Smith's background is in electrical engineering (BS Rice 1975, PhD Stanford 1983). He is presently Professor of Music and Associate Professor (by courtesy) of Electrical Engineering at
Stanford's Center for Computer Research in Music and Acoustics (CCRMA), teaching courses and pursuing research related to signal processing applied to music and audio systems. See
http://ccrma.stanford.edu/~jos/ for details.