Pitch perception is logarithmic. In fact, when we talk about "pitch" as opposed to "frequency" it is usually understood that pitch is the logarithm of the "frequency. These coefficients are frequency multipliers, so their logarithms are the pitch offests (ie. they are not offsets in linear frequency). So the average in log-domain should be 0, which translates to geometric mean of 1.synthpark wrote: Thu Apr 08, 2021 11:31 am If you were right, TZFM would go out of tune when modulating a sine with a square wave which shifts it x Hz up and down (I know this isn't exactly the same). I would rather say the mean must be 0.
ps. Whether the center of a set of detuned components is perceived exactly at the geometric mean is another thing, but it's certainly a better approximation than the arithmetic mean.

