can anyone explain these "ghosttones"?

I posted the following in alt.sci.physics.acoustics a few days ago
and got the following reply.
Can any of our maths people give me more pointers please?
Does this give anyone new ideas of how to explain the "ghosttones"?
lucy (posting and reply follows:

[;H[2Jalt.sci.physics.acoustics #5245 (0 + 10 more)
(1)--[7m[1][m
From: sirius@dca.net (Michael Anderson)

[m[A

[m[A
[7m[1][m [4mRe: Proof of Harmonic Series?[m
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In article ,
clucy@cix.compulink.co.uk ("Charles
Lucy") says:
>
>
>Can anyone point me to conclusive physical proof that harmonics
>(i,e, the sounds that you hear) are only to be found at
>integer frequency ratios.
>I am seriously questioning this "hallowed" rule, and would
>appreciate pointers from the acousticians.
>(My experience and intuition tells me that harmonics beat)
>Does anyone have firm experimental data to validate the
>integer ratio mapping of harmonics on vibrating strings?
>TIA
>Charles Lucy


No, harmonics from physical sources such as flutes and oboes and
bells are not integrally separated. Generally one solves families
of solutions to Bessel or Legendre type equations, and these are not
simple integer multiples.

Michael L Anderson
North Star Laboratory
Ultrasonics consulting and instruments
(610) 326-8425
[7mEnd of article 5245 (of 5246)--what next? [npqh][m [;H[2J

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