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Convex closures of the 7-limit tonality diamond

🔗Gene Ward Smith <gwsmith@svpal.org>

5/27/2005 8:52:44 PM

I give a Scala file for the convex closures of the 7-limit tonality
diamond in the plane defined by the commas 1029/1024, 225/224,
2401/2400, 4375/4374, 6144/6125, 5120/5103, and 3136/3125 here:

/tuning-math/files/convex/dia7/

Each of these can be left as is, in TM reduced form, or tempered
according to the comma in question. Of course, a diamond is by no
means the only structure one might want to force into a scale, and I
may explore other possibilities.