6edf
6edf is the 6-part equal division of the fifth (3/2) AKA "6th root of 3/2".
The single step of 6-edf is 116.9925 cents. This is very close to the size of the miracle generator, and thus this scale is close to the "nonoctave miracle" scale...
Intervals
| degrees | cents ~ cents octave-reduced |
|---|---|
| 0 | 0 (perfect unison, 1:1) |
| 1 | 117 |
| 2 | 234 |
| 3 | 351 |
| 4 | 468 |
| 5 | 585 |
| 6 | 702 (just perfect fifth, 3:2) |
| 7 | 819 |
| 8 | 936 |
| 9 | 1053 |
| 10 | 1170 |
| 11 | 1287 ~ 87 |
| 12 | 1404 ~ 204 (just major whole tone/ninth, 9:4) |
| 13 | 1521 ~ 321 |
| 14 | 1638 ~ 438 |
| 15 | 1755 ~ 555 |
| 16 | 1872 ~ 672 |
| 17 | 1988 ~ 788 |
| 18 | 2106 ~ 906 (Pythagorean major sixth, 27:8) |
| 19 | 2223 ~ 1023 |
| 20 | 2340 ~ 1140 |
| 21 | 2457 ~ 57 |
| 22 | 2574 ~ 174 |
| 23 | 2691 ~ 291 |
| 24 | 2808 ~ 408 (Pythagorean major third, 81:16) |