20ed11/5

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Revision as of 02:03, 6 March 2023 by CompactStar (talk | contribs)
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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
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