181edo and stretched hemififths
Normal Hemififths
181edo supports normal Hemififths (MOS 3L 4s) with the mode 31 22 31 22 31 22 22
| #\181 | Cents | Approximated Ratios |
|---|---|---|
| 31 | 205.525 | 9/8 |
| 53 | 351.381 | 11/9 |
| 84 | 556.906 | 11/8 |
| 106 | 702.762 | 3/2 |
| 137 | 908.287 | 22/13 |
| 159 | 1054.144 | 11/6 |
| 181 | 1200.000 | 2/1 |
Stretched Hemififths
This mode can be improved in 181edo by stretching some "s" of the mode with 1 step of 181edo: 31 22 31 23 31 22 23
With this stretched mode, more JI ratios are approximated
| #\181 | Cents | Approximated Ratios
(octave-reduced) |
|---|---|---|
| 31 | 205.525 | 9/8 |
| 53 | 351.381 | 11/9 |
| 84 | 556.906 | 11/8 |
| 107 | 709.392 | 3/2 |
| 138 | 914.917 | 22/13 |
| 160 | 1060.773 | 24/13 |
| 183 | 1213.260 | 2/1 |
| 214 | 1418.785 | 9/8, 8/7 |
| 236 | 1564.641 | 16/13 |
| 267 | 1770.166 | 18/13 |
| 290 | 1922.652 | 3/2 |
| 321 | 2128.177 | 12/7 |
| 343 | 2274.033 | 13/7 |
| 366 | 2426.519 | 2/1 |