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
|
61.353
|
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
|
1043.008
|
11/6, 20/11, 49/27
|
18
|
1104.361
|
21/11, 49/26
|
19
|
1165.714
|
|
20
|
1227.068
|
55/27
|
21
|
1288.421
|
21/10, 55/26, 70/33
|
22
|
1349.775
|
|
23
|
1411.128
|
|
24
|
1472.481
|
7/3, 33/14
|
25
|
1533.835
|
63/26
|
26
|
1595.188
|
|
27
|
1656.541
|
13/5, 55/21, 70/27
|
28
|
1717.895
|
27/10, 35/13
|
29
|
1779.248
|
|
30
|
1840.602
|
26/9
|
31
|
1901.955
|
3/1
|