38edo

38edo divides the octave into 38 equal parts of 31.579 cents. Since 38 = 2*19, it can be thought of as two parallel 19edos. It tempers out the same 5-limit commas as 19, namely 81/80, 3125/3072 and 15625/15552. In the 7-limit, we can add 50/49, and tempering out 81/80 and 50/49 gives injera temperament, for which 38 is the optimal patent val. In the 11-limit, we can add 121/120 and 176/175.

Intervals

Step	Cents
0	0.0000
1	31.5789
2	63.1579
3	94.7368
4	126.3157
5	157.8947
6	189.4737
7	221.0526
8	252.6316
9	284.2105
10	315.7895
11	347.3684
12	378.9474
13	410.5263
14	442.1053
15	473.6843
16	505.2632
17	536.8421
18	568.4211
19	600.0000
20	631.5789
21	663.1579
22	694.7368
23	726.3157
24	757.8947
25	789.4737
26	821.0526
27	852.6316
28	884.2105
29	915.7895
30	947.3684
31	978.9474
32	1010.5263
33	1042.1053
34	1073.6843
35	1105.2632
36	1136.8421
37	1168.4211
38	1200.0000