93edo and stretched hemififths: Difference between revisions
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m Direct mapping -> direct approximation |
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</pre> | </pre> | ||
{| class="wikitable" | |||
|+ | |||
Stretched Hemififths (octave-reduced) | |||
!#\93 | |||
!Cents | |||
!Approximated Ratios<ref>[[15-odd-limit]]. Intervals on best [[direct approximation]] are in normal font. Intervals on second best approximation are in ''italic''.</ref> | |||
|- | |||
|16 | |||
|206.452 | |||
|9/8 | |||
|- | |||
|27 | |||
|348.387 | |||
|11/9 | |||
|- | |||
|43 | |||
|554.839 | |||
|11/8 | |||
|- | |||
|55 | |||
|709.677 | |||
|''3/2'' | |||
|- | |||
|71 | |||
|916.129 | |||
|22/13 | |||
|- | |||
|82 | |||
|1058.065 | |||
|24/13 | |||
|- | |||
|'''1''' | |||
|'''12.903''' | |||
|'''''2/1''''' | |||
|- | |||
|17 | |||
|219.355 | |||
|''9/8, 8/7'' | |||
|- | |||
|28 | |||
|361.290 | |||
|16/13 | |||
|- | |||
|44 | |||
|567.742 | |||
|18/13 | |||
|- | |||
|56 | |||
|722.581 | |||
| | |||
|- | |||
|72 | |||
|929.032 | |||
|12/7 | |||
|- | |||
|83 | |||
|1070.968 | |||
|13/7 | |||
|- | |||
|'''2''' | |||
|'''25.806''' | |||
| | |||
|- | |||
|18 | |||
|232.258 | |||
|8/7 | |||
|- | |||
|29 | |||
|374.194 | |||
|''16/13, 5/4'' | |||
|- | |||
|45 | |||
|580.645 | |||
|7/5 | |||
|- | |||
|57 | |||
|735.484 | |||
|''20/13'' | |||
|- | |||
|73 | |||
|941.935 | |||
|''12/7, 26/15'' | |||
|- | |||
|84 | |||
|1083.871 | |||
|15/8 | |||
|- | |||
|'''3''' | |||
|'''38.710''' | |||
| | |||
|- | |||
|19 | |||
|245.161 | |||
|15/13 | |||
|- | |||
|30 | |||
|387.097 | |||
|5/4 | |||
|- | |||
|46 | |||
|593.548 | |||
|''7/5'' | |||
|- | |||
|58 | |||
|748.387 | |||
|20/13 | |||
|- | |||
|74 | |||
|954.839 | |||
|26/15 | |||
|- | |||
|85 | |||
|1096.774 | |||
|''15/8'' | |||
|- | |||
|'''4''' | |||
|'''51.613''' | |||
| | |||
|} | |||
<references /> | |||
[[Category:93edo]] | |||
[[Category:Hemififths]] | |||
Latest revision as of 09:32, 24 May 2024
93edo supports a stretched hemififths scale with the mode: 16 11 16 12 16 11 12
! 93edo_stretched-hemififths.scl ! 93edo stretched hemififths 7 ! 206.451613 348.387097 554.83871 709.677419 916.129032 1058.064516 1212.903226
| #\93 | Cents | Approximated Ratios[1] |
|---|---|---|
| 16 | 206.452 | 9/8 |
| 27 | 348.387 | 11/9 |
| 43 | 554.839 | 11/8 |
| 55 | 709.677 | 3/2 |
| 71 | 916.129 | 22/13 |
| 82 | 1058.065 | 24/13 |
| 1 | 12.903 | 2/1 |
| 17 | 219.355 | 9/8, 8/7 |
| 28 | 361.290 | 16/13 |
| 44 | 567.742 | 18/13 |
| 56 | 722.581 | |
| 72 | 929.032 | 12/7 |
| 83 | 1070.968 | 13/7 |
| 2 | 25.806 | |
| 18 | 232.258 | 8/7 |
| 29 | 374.194 | 16/13, 5/4 |
| 45 | 580.645 | 7/5 |
| 57 | 735.484 | 20/13 |
| 73 | 941.935 | 12/7, 26/15 |
| 84 | 1083.871 | 15/8 |
| 3 | 38.710 | |
| 19 | 245.161 | 15/13 |
| 30 | 387.097 | 5/4 |
| 46 | 593.548 | 7/5 |
| 58 | 748.387 | 20/13 |
| 74 | 954.839 | 26/15 |
| 85 | 1096.774 | 15/8 |
| 4 | 51.613 |
- ↑ 15-odd-limit. Intervals on best direct approximation are in normal font. Intervals on second best approximation are in italic.