Why is a 100 person choir singing the same song not 100 times louder than one person?

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I suspect it’s something to do with sounds waves so have flaired as physics, but not sure?

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Because the singers are not synchronized on a fine scale and not spaced out taking the wavelength into account. At a given moment in time some of their sound interferes destructively and cancels out. Doubling random, weakly correlated sounds adds 3 dB to the power. So you would get about 20 dB increase from 1 to 100.

Human hearing is also non-linear, and adapts to louder noises by becoming less sensitive. In practice it is not that important to tell 99 and 100 sources of sound apart. You just need to know there is “a lot”. An increase of 8 to 10 dB is perceived to be twice as loud.

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