37edf

37EDF is the equal division of the just perfect fifth into 37 parts of 18.9718 cents each, corresponding to 63.2519 edo (similar to every fourth step of 253edo). It is related to the regular temperament which tempers out 385/384, 12005/11979, and 820125/819896 in the 11-limit, which is supported by 63edo, 190edo, and 253edo among others.

Intervals

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	18.9718
2	37.9435	45/44
3	56.9153
4	75.8870
5	94.8588
6	113.8305	16/15
7	132.8023
8	151.7741	12/11
9	170.7458
10	189.7176
11	208.6893
12	227.6611
13	246.6328	15/13
14	265.6046	7/6
15	284.5764	33/28
16	303.5481	81/68
17	322.5199
18	341.4916
19	360.4634
20	379.4351
21	398.4069	34/27
22	417.3786	14/11
23	436.3504	9/7
24	455.3222	13/10
25	474.2939
26	493.2657
27	512.2374
28	531.2092
29	550.1809	11/8
30	569.1527
31	588.1245	45/32
32	607.0962
33	626.0680
34	645.0397
35	664.0115	22/15
36	682.9832
37	701.9550	exact 3/2	just perfect fifth

Related regular temperaments

7-limit 63&190

Commas: 2460375/2458624, 514714375/509607936

POTE generator: ~1728/1715 = 18.957

Map: [<1 1 3 2|, <0 37 -43 51|]

EDOs: 63, 190, 253

11-limit 63&190

Commas: 385/384, 12005/11979, 820125/819896

POTE generator: ~99/98 = 18.957

Map: [<1 1 3 2 3|, <0 37 -43 51 29|]

EDOs: 63, 190, 253

13-limit 63&190

Commas: 385/384, 1575/1573, 2200/2197, 4459/4455

POTE generator: ~99/98 = 18.959

Map: [<1 1 3 2 3 4|, <0 37 -43 51 29 -19|]

EDOs: 63, 190, 253