5 TO 9TONE, OCTAVEREPEATING SCALES
FROM WILSON'S GOLDEN HORAGRAMS OF THE SCALE TREE
David J. Finnamore
 INTRO & EXPLANATION  MENU 
Approximations of Golden Tunings to Equal Tempered MOS Scales.
The graph and table below show what percentage of the horagrams approximate each equal temperament from 5 through 17. For example, 75% of all the horagrams of the scale tree approximate 5 tET. That is to say, 75% of them include a Ring 5. While any given "approximation" may be quite far off in terms of interval size, the step pattern will be the same.

ET

Percent

5

75.00

6

12.50

7

56.25

8

28.13

9

26.56

10

13.28

11

37.89

12

12.70

13

31.35

14

12.55

15

9.40

16

12.51

17

23.44


