Audio Decay Time

GUIDE: Mathematics of the Discrete Fourier Transform (DFT). Audio Decay Time

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Audio Decay Time ($t_{60}$)

In audio, a decay by $1/e$ is too small to be considered a practical “decay time.” In architectural acoustics (which includes the design of concert halls), a more commonly used measure of decay is “$t_{60}$”, which is defined as the time to decay by $60$dB.5.5 That is, $t_{60}$ is obtained by solving the equation

\

Using the definition of the exponential $a(t) = A e^{-t/\, we find
\

Thus, $t_{60}$ is about seven time constants. See where $t_{60}$ is marked on Fig. 5.5 compared with $\.

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