20ed11/5: Difference between revisions
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| Line 40: | Line 40: | ||
|7 | |7 | ||
|477.8 | |477.8 | ||
|[21/16]], [[33/25]] | |[[21/16]], [[33/25]] | ||
|- | |- | ||
|8 | |8 | ||
Revision as of 20:31, 6 March 2023
| ← 19ed11/5 | 20ed11/5 | 21ed11/5 → |
20ed11/5 is the equal division of the neutral ninth into 20 parts of 68.3 cents each.
Temperaments
20ed11/5 tempers out 2093663/2088025 and 54925/54043 in the no-twos-or-threes 17-limit which means it supports salmon temperament, which can be viewed as the no-twos-or-threes-analog of meantone. However, its 13/11 approximation is quite flat (closer to a subminor third) which affects the quality of the 11:13:17 chord, one of the most consonant no-twos-or-threes chords.
Intervals
| # | Cents | Approximate ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 68.3 | 28/27, 27/26, 26/25, 25/24 |
| 2 | 136.5 | 14/13, 27/25, 13/12 |
| 3 | 204.8 | 9/8 |
| 4 | 273.0 | 7/6, 75/64 |
| 5 | 341.3 | 17/14, 39/32, 11/9 |
| 6 | 409.5 | 14/11,81/64, 19/15 |
| 7 | 477.8 | 21/16, 33/25 |
| 8 | 546.0 | 11/8, 15/11, 48/35 |
| 9 | 614.3 | 10/7, 121/85 |
| 10 | 682.5 | 3/2, 40/27 |
| 11 | 750.1 | 17/11, 49/32 |
| 12 | 819.0 | 8/5, 21/13 |
| 13 | 887.3 | 5/3, 38/23 |
| 14 | 955.5 | 7/4, 26/15 |
| 15 | 1023.8 | 9/5, 29/16, 20/11 |
| 16 | 1092.0 | 15/8, 32/17 |
| 17 | 1160.3 | 49/25, 35/18 |
| 18 | 1228.5 | 2/1 |
| 19 | 1296.8 | 15/7 |
| 20 | 1365.0 | 11/5 |