181edo and stretched hemififths: Difference between revisions
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== Normal Hemififths == | == Normal Hemififths == | ||
181edo supports normal Hemififths (MOS 3L 4s) with the mode 31 22 31 22 31 22 22 | [[181edo]] supports normal [[Hemififths]] ([[3L 4s|MOS 3L 4s]]) with the mode 31 22 31 22 31 22 22 | ||
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This mode can be improved in 181edo by adding 1 more step on the fifth, and 1 more step on the octave: 31 22 31 23 31 22 23 | This mode can be improved in 181edo by adding 1 more step on the fifth, and 1 more step on the octave: 31 22 31 23 31 22 23 | ||
With this stretched mode, | With this stretched mode, various simple [[Just intonation|Just Intonation]] ratios are approximated thoughout the octaves. | ||
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<pre> | |||
! 181edo_stretched-hemififths.scl | |||
! | |||
181edo stretched hemififths | |||
7 | |||
! | |||
205.524862 | |||
351.381215 | |||
556.906077 | |||
709.392265 | |||
914.917127 | |||
1060.773481 | |||
1213.259669 | |||
</pre> | |||
== See Also == | |||
* [[93edo and stretched hemififths]] | |||
[[Category:181edo]] | |||
[[Category:Hemififths]] | |||
Latest revision as of 20:31, 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, 16/13 |
| 84 | 556.906 | 11/8, 18/13 |
| 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 adding 1 more step on the fifth, and 1 more step on the octave: 31 22 31 23 31 22 23
With this stretched mode, various simple Just Intonation ratios are approximated thoughout the octaves.
| #\181 | Cents | Approximated Ratios |
|---|---|---|
| 31 | 205.525 | 9/8 |
| 53 | 351.381 | 11/9, 16/13 |
| 84 | 556.906 | 11/8, 18/13 |
| 107 | 709.392 | 3/2 |
| 138 | 914.917 | 22/13 |
| 160 | 1060.773 | 24/13 |
| 2 | 13.260 | 2/1 |
| 33 | 218.785 | 9/8, 8/7 |
| 55 | 364.641 | 16/13 |
| 86 | 570.166 | 18/13 |
| 109 | 722.652 | |
| 140 | 928.177 | 12/7 |
| 162 | 1074.033 | 13/7 |
| 4 | 26.519 | |
| 35 | 232.044 | 8/7 |
| 57 | 377.901 | 5/4 |
| 88 | 583.425 | 7/5 |
| 111 | 735.912 | 20/13 |
| 142 | 941.436 | 12/7 |
| 164 | 1087.293 | 15/8 |
| 6 | 39.779 | |
| 37 | 245.304 | 15/13 |
| 59 | 391.160 | 5/4 |
| 90 | 596.685 | 7/5 |
| 113 | 749.171 | 20/13 |
| 144 | 954.696 | 26/15 |
| 166 | 1100.552 | 15/8 |
| 8 | 53.039 |
! 181edo_stretched-hemififths.scl ! 181edo stretched hemififths 7 ! 205.524862 351.381215 556.906077 709.392265 914.917127 1060.773481 1213.259669