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Re: [tuning] locally concordant tetrads -- verifying Margo and George

🔗Keenan Pepper <mtpepper@prodigy.net>

8/27/2000 6:48:22 AM

I would be very interested in seeing a triad/tetrad total dyadic harmonic
entropy graph based on an odd-limit (instead of a Farey series) that was
octave-indifferent, as suggested here:

"By the way, I intend to model Partch's "one-footed bride" with a sort of
octave-equivalent harmonic entropy function; that is, rather than using a
Farey series (or a series such as used by Mann where the sum of numerator
and denominator does not exceed a certain limit), using instead the ratios
up to a given Partch limit ("odd limit", that is, the largest odd factor of
either the numerator or denominator does not exceed a certain limit)."

This would tend to judge the entropy of the chord as a whole, not a
particular voicing of the chord. This seemed to ba a problem in the local
minima of the tetrad graph; some chords didn't make it or got bumped down
simply beacause they didn't have a voicing open enough. Octave equivalence
just makes sence.

-Keenan P.