20ed11/5: Difference between revisions
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| Line 31: | Line 31: | ||
|273.0 | |273.0 | ||
|[[7/6]], [[75/64]] | |[[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 | |8 | ||
|546.0 | |546.0 | ||
|[[11/8]], [[15/11]], [[48/35]] | |[[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 | |12 | ||
|819.0 | |819.0 | ||
|[[8/5]], [[21/13]] | |[[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 | |16 | ||
|1092.0 | |1092.0 | ||
|[[15/8]], [[32/17]] | |[[15/8]], [[32/17]] | ||
|- | |||
|17 | |||
|1160.3 | |||
|[[49/25]], [[35/18]] | |||
|- | |||
|18 | |||
|1228.5 | |||
|[[2/1]] | |||
|- | |||
|19 | |||
|1296.8 | |||
|[[15/7]] | |||
|- | |- | ||
|20 | |20 | ||
Revision as of 02:03, 6 March 2023
WIP
| ← 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 |