Topic: Convex breed closure of 7-limit diamond

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Thread (1 messages)

From: Gene Ward Smith (2005-05-25)
Subject: Convex breed closure of 7-limit diamond

Here's the 7-limit tonality diamond, projected to the breed plane, and
then convexly closed. You take the 5x5 square and remove eight notes
at the corners, and you get this 17 note scale, or gamut, or whatever
we are calling it this week. Naturally, you might want to breed temper
it, for instance by tuning it in 441 or 612.

! diaclose.scl
Convex closure of 7-limit diamond in breed plane
17
!
49/48
8/7
7/6
6/5
49/40
5/4
4/3
7/5
10/7
3/2
8/5
49/30
5/3
12/7
7/4
49/25
2