5- TO 9-TONE, OCTAVE-REPEATING 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 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
|
|
|