Below is a table of (important) intervals consistently represented in 31edo. Intervals are found significantly, though not exclusively, in the 2.3.5.7.11.23 and 2.5.7.13.17.19.29.31 subgroups.
| Step
|
Cents
|
3-limit
|
5-limit
|
7-limit
|
11-limit
|
13-limit
|
17-limit
|
19-limit
|
23-limit
|
29-limit
|
31-limit
|
| 1
|
38.71
|
|
128/125
|
36/35, 49/48, 50/49, 64/63
|
33/32, 45/44, 55/54, 56/55
|
40/39, 65/64
|
35/34
|
39/38
|
46/45
|
|
32/31
|
| 2
|
77.42
|
|
25/24
|
21/20, 28/27
|
22/21
|
|
68/65
|
20/19
|
23/22
|
|
|
| 3
|
116.13
|
|
16/15
|
15/14
|
77/72, 128/121
|
14/13
|
17/16
|
|
|
|
31/29
|
| 4
|
154.84
|
|
|
35/32
|
12/11, 11/10
|
(13/12)
|
|
|
23/21
|
32/29
|
|
| 5
|
193.55
|
9/8
|
10/9
|
28/25
|
55/49
|
(39/35)
|
|
19/17
|
|
29/26
|
|
| 6
|
232.26
|
|
144/125
|
8/7
|
25/22, 55/48
|
15/13
|
17/15
|
|
|
|
|
| 7
|
270.97
|
|
75/64
|
7/6
|
64/55
|
|
20/17
|
|
|
|
|
| 8
|
309.68
|
32/27
|
6/5
|
25/21
|
77/64
|
|
|
19/16
|
|
|
|
| 9
|
348.39
|
|
|
49/40
|
11/9, 27/22
|
16/13, 39/32
|
|
|
|
|
|
| 10
|
387.1
|
|
5/4
|
|
96/77
|
|
|
|
|
|
|
| 11
|
425.81
|
|
32/25
|
9/7
|
14/11
|
|
|
|
23/18
|
|
|
| 12
|
464.52
|
|
125/96
|
21/16, 64/49
|
33/25
|
13/10
|
17/13
|
|
|
|
|
| 13
|
503.23
|
4/3
|
27/20
|
|
162/121
|
35/26
|
85/64
|
128/95
|
|
|
|
| 14
|
541.94
|
|
|
48/35, 49/36
|
11/8, 15/11
|
|
|
26/19
|
|
|
|
| 15
|
580.65
|
|
45/32, 25/18
|
7/5
|
108/77
|
|
24/17
|
|
32/23
|
|
|
| 16
|
619.35
|
|
64/45, 36/25
|
10/7
|
77/54
|
|
17/12
|
|
23/16
|
|
|
| 17
|
658.06
|
|
|
35/24, 72/49
|
16/11, 22/15
|
|
|
19/13
|
|
|
|
| 18
|
696.77
|
3/2
|
40/27
|
|
121/81
|
52/35
|
128/85
|
95/64
|
|
|
|
| 19
|
735.48
|
|
192/125
|
32/21, 49/32
|
50/33
|
20/13
|
26/17
|
|
|
|
|
| 20
|
774.19
|
|
25/16
|
14/9
|
11/7
|
|
|
|
36/23
|
|
|
| 21
|
812.9
|
|
8/5
|
|
77/48
|
|
|
|
|
|
|
| 22
|
851.61
|
|
|
49/30
|
18/11, 44/27
|
13/8, 64/39
|
|
|
|
|
|
| 23
|
890.32
|
27/16
|
5/3
|
42/25
|
128/77
|
|
|
32/19
|
|
|
|
| 24
|
929.03
|
|
128/75
|
12/7
|
55/32
|
|
17/10
|
|
|
|
|
| 25
|
967.74
|
|
125/72
|
7/4
|
96/55
|
26/15
|
30/17
|
|
|
|
|
| 26
|
1006.45
|
16/9
|
9/5
|
25/14
|
98/55
|
|
|
|
|
52/29
|
|
| 27
|
1045.16
|
|
|
64/35
|
11/6, 20/11
|
24/13
|
|
|
42/23
|
29/16
|
|
| 28
|
1083.87
|
|
15/8
|
28/15
|
144/77, 121/64
|
13/7
|
32/17
|
|
|
|
58/31
|
| 29
|
1122.58
|
|
48/25
|
27/14, 40/21
|
21/11
|
|
65/34
|
19/10
|
44/23
|
|
|
| 30
|
1161.29
|
|
125/64
|
49/25, 35/18
|
88/45, 64/33
|
39/20
|
|
|
45/23
|
|
31/16
|
| 31
|
1200
|
2/1
|
2/1
|
2/1
|
2/1
|
2/1
|
2/1
|
2/1
|
2/1
|
2/1
|
2/1
|