Tonality Diamond

I have been unable to locate a copy of Genesis of a Music by
Partch. I cannot remember what Partch's Tonality Diamond looked
like. As I remember, it had otonality along one axis, lower left to
upper right, and utonality accross the other, upper left to lower
right as follows:
11: 8

9: 8 11: 6

7: 4 3: 2 11:10

5: 4 7: 6 9: 5 11: 7

3: 2 5: 3 7: 5 9: 7 11: 9

1: 1 1: 1 1: 1 1: 1 1: 1 1:1

4: 3 6: 5 10: 7 14: 9 18:11

8: 5 12: 7 10: 9 14:11

8: 7 4: 3 20:11

16: 9 12:11

16:11


This is how I remember it from the last time I read the book,
in 1976. It does not include complex ratios such as 32/21, 27/20, or
16/15, which seem simple enough to derive, but I cannot find
a place for them in this diamond. Can someone set me straight?

Prent Rodgers
Boise, ID

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