181edo and stretched hemififths: Difference between revisions
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| Line 52: | Line 52: | ||
|31 | |31 | ||
|205.525 | |205.525 | ||
| | |9/8 | ||
|- | |- | ||
|53 | |53 | ||
|351.381 | |351.381 | ||
| | |11/9 | ||
|- | |- | ||
|84 | |84 | ||
|556.906 | |556.906 | ||
| | |'''11/8''' | ||
|- | |- | ||
|107 | |107 | ||
|709.392 | |709.392 | ||
| | |'''3/2''' | ||
|- | |- | ||
|138 | |138 | ||
|914.917 | |914.917 | ||
| | |22/13 | ||
|- | |- | ||
|160 | |160 | ||
|1060.773 | |1060.773 | ||
| | |24/13 | ||
|- | |- | ||
|183 | |183 | ||
|1213.260 | |1213.260 | ||
| | |2/1 | ||
|} | |} | ||
Revision as of 13:50, 10 March 2023
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 small "s" 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 |
|---|---|---|
| 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 |