93edo and stretched hemififths: Difference between revisions
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m Direct mapping -> direct approximation |
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{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
Stretched Hemififths (octave-reduced ) | Stretched Hemififths (octave-reduced) | ||
!#\ | !#\93 | ||
!Cents | !Cents | ||
!Approximated Ratios | !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 | |206.452 | ||
|9/8 | |9/8 | ||
|- | |- | ||
| | |27 | ||
|348.387 | |348.387 | ||
|11/9 | |11/9 | ||
|- | |- | ||
| | |43 | ||
|554.839 | |554.839 | ||
|11/8 | |11/8 | ||
|- | |- | ||
| | |55 | ||
|709.677 | |709.677 | ||
|3/2 | |''3/2'' | ||
|- | |- | ||
| | |71 | ||
|916.129 | |916.129 | ||
|22/13 | |22/13 | ||
|- | |- | ||
| | |82 | ||
|1058.065 | |1058.065 | ||
|24/13 | |24/13 | ||
|- | |- | ||
|''' | |'''1''' | ||
|'''12.903''' | |'''12.903''' | ||
|'''2/1''' | |'''''2/1''''' | ||
|- | |- | ||
| | |17 | ||
|219.355 | |219.355 | ||
|9/8, 8/7 | |''9/8, 8/7'' | ||
|- | |- | ||
| | |28 | ||
| | |361.290 | ||
|16/13 | |16/13 | ||
|- | |- | ||
| | |44 | ||
| | |567.742 | ||
|18/13 | |18/13 | ||
|- | |- | ||
| | |56 | ||
|722. | |722.581 | ||
| | | | ||
|- | |- | ||
| | |72 | ||
| | |929.032 | ||
|12/7 | |12/7 | ||
|- | |- | ||
| | |83 | ||
| | |1070.968 | ||
|13/7 | |13/7 | ||
|- | |- | ||
|''' | |'''2''' | ||
|''' | |'''25.806''' | ||
| | | | ||
|- | |- | ||
| | |18 | ||
|232. | |232.258 | ||
|8/7 | |8/7 | ||
|- | |- | ||
| | |29 | ||
| | |374.194 | ||
|5/4 | |''16/13, 5/4'' | ||
|- | |- | ||
| | |45 | ||
| | |580.645 | ||
|7/5 | |7/5 | ||
|- | |- | ||
| | |57 | ||
|735. | |735.484 | ||
|20/13 | |''20/13'' | ||
|- | |- | ||
| | |73 | ||
|941. | |941.935 | ||
|12/7 | |''12/7, 26/15'' | ||
|- | |- | ||
| | |84 | ||
| | |1083.871 | ||
|15/8 | |15/8 | ||
|- | |- | ||
|''' | |'''3''' | ||
|''' | |'''38.710''' | ||
| | | | ||
|- | |- | ||
| | |19 | ||
|245. | |245.161 | ||
|15/13 | |15/13 | ||
|- | |- | ||
| | |30 | ||
| | |387.097 | ||
|5/4 | |5/4 | ||
|- | |- | ||
| | |46 | ||
| | |593.548 | ||
|7/5 | |''7/5'' | ||
|- | |- | ||
| | |58 | ||
| | |748.387 | ||
|20/13 | |20/13 | ||
|- | |- | ||
| | |74 | ||
|954. | |954.839 | ||
|26/15 | |26/15 | ||
|- | |- | ||
| | |85 | ||
| | |1096.774 | ||
|15/8 | |''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.