Re: Pitch of a complex tone

["Dr L S Smith (Staff)" <l.s.smith@xxxxxxxxxxxxx>]

Dear Alexander:

There are occasions when the phase can affect the timbre (and the =
pitch too) when the harmonics are close together, so that they are =
not resolved at the cochlea. Then the envelope shape (as perceived =
at the hair cells) will depend on the phase (given 3 or more =
harmonics).=20

See

Smith L.S. Data-driven Sound Interpretation: its Application to =
Voiced Sounds. pp147-154, in Neural Computation and Psychology : =
Proceedings of the 3rd Neural Computation and Psychology Workshop =
(NCPW3), Stirling, Scotland, 31 August - 2 September 1994, editors =
L.S. Smith and P.J.B. Hancock. Springer Verlag: Workshops in =
Computing Series, 1995

but an earlier (and better!) reference (which I was not aware of =
when I wrote the above) is

Moore B.C.J., Effects of relative phase of the components on the =
pitch of three-component complex tones, in Psychophysics and =
physiology of hearing, edited by E.F. Evans and J.P. Wilson, =
Academic Press, 1977.

--leslie smith
Dr Leslie S. Smith
Dept of Computing Science and Mathematics, Univ of Stirling
Stirling FK9 4LA, Scotland

l.s.smith@cs.stir.ac.uk   (NeXTmail and MIME welcome)
Tel (44) 1786 467435 Fax (44) 1786 464551
www http://www.cs.stir.ac.uk/~lss/