5- TO 9-TONE, OCTAVE-REPEATING SCALES

FROM WILSON'S GOLDEN HORAGRAMS OF THE SCALE TREE

David J. Finnamore

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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 t-ET. 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