181edo and stretched hemififths: Difference between revisions
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Contribution (talk | contribs) |
Contribution (talk | contribs) |
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| Line 50: | Line 50: | ||
!Cents | !Cents | ||
!Approximated Ratios | !Approximated Ratios | ||
|- | |- | ||
|31 | |31 | ||
| Line 77: | Line 76: | ||
|- | |- | ||
|183 | |183 | ||
| | |13.260 | ||
|'''2/1''' | |'''2/1''' | ||
|- | |- | ||
|214 | |214 | ||
| | |218.785 | ||
|9/8, 8/7 | |9/8, 8/7 | ||
|- | |- | ||
|236 | |236 | ||
| | |364.641 | ||
|'''16/13''' | |'''16/13''' | ||
|- | |- | ||
|267 | |267 | ||
| | |570.166 | ||
|18/13 | |18/13 | ||
|- | |- | ||
|290 | |290 | ||
| | |722.652 | ||
|3/2 | |3/2 | ||
|- | |- | ||
|321 | |321 | ||
| | |928.177 | ||
|12/7 | |12/7 | ||
|- | |- | ||
|343 | |343 | ||
| | |1074.033 | ||
|13/7 | |13/7 | ||
|- | |- | ||
|366 | |366 | ||
| | |26.519 | ||
|2/1 | |2/1 | ||
|} | |} | ||
Revision as of 14:08, 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 "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 |
|---|---|---|
| 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 | 13.260 | 2/1 |
| 214 | 218.785 | 9/8, 8/7 |
| 236 | 364.641 | 16/13 |
| 267 | 570.166 | 18/13 |
| 290 | 722.652 | 3/2 |
| 321 | 928.177 | 12/7 |
| 343 | 1074.033 | 13/7 |
| 366 | 26.519 | 2/1 |