38edo

38 tone equal temperament

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.

38-EDO Intervals:

Step	Size in Cents
0	0
1	31.579
2	63.158
3	94.737
4	126.316
5	157.895
6	189.474
7	221.053
8	252.632
9	284.211
10	315.789
11	347.368
12	378.947
13	410.526
14	442.105
15	473.684
16	505.263
17	536.842
18	568.421
19	600
20	631.579
21	663.158
22	694.737
23	726.316
24	757.895
25	789.474
26	821.053
27	852.632
28	884.211
29	915.789
30	947.368
31	978.947
32	1010.526
33	1042.105
34	1073.684
35	1105.263
36	1136.842
37	1168.421