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Klarinet Archive - Posting 000533.txt from 2001/02

From: Grant Green <gdgreen@-----.com>
Subj: Re: [kl] Difference Tones
Date: Wed, 14 Feb 2001 19:32:38 -0500

>I don't think that the type of nonlinearity would change the qualitative
>results, although it might well change the amounts of harmonics generated
>and therefore the strength of the combination tones.

Apparently. According to Benade:
"When a nonlinear system is subjected to sinusoidal forces,
heterodyne components are generated. ... The frequency relations of
these heterodyne components are always those described in the schema
given earlier, *regardless of the nature of the nonlinearity*
(neurological or mechanical)."
"The amplitudes of the heterodyne components generated by a nonlinear
system depend on the details of the nonlinearity and (in general) on
the amplitudes of the excitatory forces." (Benade, "Fundamentals of
Musical Acoustics", 2nd Ed. at pp. 262-63, emphasis in original).

Grant

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