RE: pitch perception

Hi Francoise

That is, by finding the mean difference from the expected
values of all the harmonics. E.g. if most of the harmonics
are a little sharper than expected given the freq of the
fundamental, prob. the value for the fundamental should be a
little sharper too.

Robert

Hello Robert

I fact, we can assume that synthetized tones of the jerries are harmonic. My
view is that it is not higher harmonics that are sharp, it is only that you
are a bit too much optimistic on the accuracy of fundamental frequency
measure. According to the uncertainty "principle" (I use quotes because you
think that this is an hypothesis with limited value) the uncertainty (in
Herz) is more or less constant throughout the spectrum (maybe you agree with
that even if you diagree with the 1/T value). So deltaF being constant
(whatever is its value) relative error deltaF/F on partial estimation
decreases as the inverse of the frequency. So, the most reliable peak is
generally not the fundamental. Theoritically the most reliable partial
should be the highest measurable one, but in practice, very high partials
are weak, blunt and likely distorted by noise and rounding errors. The most
reliable peak should be somewere between the fundamental and the cut-off
frequency.

Perhaps that making use of your method on very straightforwardly produced
sawtooth or other simple waves, it may be possible to "calibrate" the best
frequency band to make measurement (wrt to rounding error).

François Laferrière

> -----Message d'origine-----
> De: Robert Walker [mailto:robertwalker@ntlworld.com]
> Date: jeudi 21 mars 2002 07:48
> À: tuning@yahoogroups.com
> Objet: [tuning] RE: pitch perception
>
>
> Hi Francoise
>
> That is, by finding the mean difference from the expected
> values of all the harmonics. E.g. if most of the harmonics
> are a little sharper than expected given the freq of the
> fundamental, prob. the value for the fundamental should be a
> little sharper too.
>
> Robert
>
>
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