20ed11/5

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Revision as of 01:52, 6 March 2023 by 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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WIP

← 19ed11/5 20ed11/5 21ed11/5 →
Prime factorization 22 × 5
Step size 68.2502 ¢ 
Octave 18\20ed11/5 (1228.5 ¢) (→ 9\10ed11/5)
Twelfth 28\20ed11/5 (1911.01 ¢) (→ 7\5ed11/5)
Consistency limit 3
Distinct consistency limit 3

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