20ed11/5: Difference between revisions
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CompactStar (talk | contribs) Created page with "WIP {{Infobox ET}} '''20ed11/5''' is the equal division of the neutral ninth into 20 parts of 68.3 cents each. == Temperaments == 20ed11/5 tempers out 2093663/2088..." |
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Revision as of 01:52, 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 |
| 8 | 546.0 | 11/8, 15/11, 48/35 |
| 12 | 819.0 | 8/5, 21/13 |
| 16 | 1092.0 | 15/8, 32/17 |
| 20 | 1365.0 | 11/5 |