31edt

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← 30edt31edt32edt →
Prime factorization 31 (prime)
Step size 61.3534¢ 
Octave 20\31edt (1227.07¢)
Consistency limit 2
Distinct consistency limit 2

31edt divides the tritave into equal parts of 61.353 cents, corresponding to the non-octave third tone scale of 39edo where each degree gets ~.185 cents flatter than the corresponding degree of 39edo. It supports the same higher-limit meantone temperament as 12 edt with better intonation of triads. It also contains a flat version of the BP nonatonic scale and the fair Sigma and false Father scales.

Intervals

See also: Specific intervals in 31edt

Steps Cents Approximate Ratios
0 0 1/1
1 61.3534 27/26
2 122.707
3 184.06 10/9, 39/35
4 245.414 15/13, 63/55, 81/70
5 306.767
6 368.12 26/21
7 429.474 9/7, 14/11, 50/39, 77/60
8 490.827
9 552.18
10 613.534 10/7, 77/54, 78/55
11 674.887 49/33, 77/52, 81/55
12 736.241
13 797.594 11/7, 52/33, 78/49
14 858.947 18/11, 33/20, 49/30, 81/49
15 920.301
16 981.654
17 1043.01 11/6, 20/11, 49/27
18 1104.36 21/11, 49/26
19 1165.71
20 1227.07 55/27
21 1288.42 21/10, 55/26, 70/33
22 1349.77
23 1411.13
24 1472.48 7/3, 33/14
25 1533.83 63/26
26 1595.19
27 1656.54 13/5, 55/21, 70/27
28 1717.89 27/10, 35/13
29 1779.25
30 1840.6 26/9
31 1901.96 3/1