38edo

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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