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RE: [tuning] Re: Schismas, tuning systems, and tastes (Graham)

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

6/15/2000 3:22:56 PM

Graham's 5120:5103 and Margo's septimal schisma would necessarily go
hand-in-hand in a full (i.e., tetradic) 7-limit harmonic usage of
Pythagorean tuning. The first is a 225:224 minus one schisma; the second is
a 225:224 minus two schismas. If one were to construct a 7-limit tetrad
using Pythagorean tuning (within a chain of no more than, say, 24 notes),
the 7:4 would be sharp by Margo's septimal schisma; the 5:4, as we all know,
would be flat by a schisma; hence, the 7:5 would be off by the sum of the
two schismas, namely Graham's 5120:5103.

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