| 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
|