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RE: [tuning] Harmonic entropy

🔗Paul H. Erlich <PERLICH@ACADIAN-ASSET.COM>

8/28/2000 9:39:36 AM

David Finnamore wrote,

>It
>seems to me now that it's really a measure of
>harmonic ambiguity. Am I on the right track?

Yup!

>This is something that happens in the human
>perceptual system, not merely on paper, right?

That's the idea.

>And there's nothing wrong with an interval,
>scale, or tuning exhibiting harmonic entropy,
>then. The primary usefulness of the concept is
>in qualifying temperaments,

Hmmm . . . even if all instruments had perfectly flexible pitch, the concept
would be just as useful. Temperaments, I would say, are of incidental
interest.

>the primary intent
>of which is to approximate a certain set of low
>prime ratios.

Low _integer_ ratios.

>The local minima are essentially
>what Gary Morrison used to call "buoys in the
>the water of intonation." Am I there yet?

Sounds right.