RE: Erlich's Theory

>>So correct me if I'm wrong, but doesn't this tend to support that measuring
>>the cent detuning of Just intervals does not messure change in dissonance?
>
>The harmonic entropy curve, like the Plomp-Levelt roughness curve for tones
>with harmonic partials, has local minima at small-integer ratios. It is
>standard in physics (and justified by calculus) to approximate any local
>minimum with a parabola. Therefore, near a just ratio, the change in
>dissonance is proportional to the squared detuning.
>
>>Wouldn't it also tend to support that a 2 cent detuning of the 19/16 could
>>produce "a first-order qualitative difference"?
>
>No, because there is rarely, if ever, a local minimum at 19/16. However, in a
>tuning based on the 16th-32nd harmonics, there will be a massive accumulation
>of combination tones reinforcing the sense of the missing fundamental, so
>detuning any note will be quite noticeable.


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From: "Paul H. Erlich"
Subject: RE: TUNING digest 1225
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