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 | pions | 7mus | |
|---|---|---|---|
| 0 | 0 | ||
| 1 | 31.57895 | 33.4737 | 40.42105 (28.6BCA16) |
| 2 | 63.1579 | 66.9474 | 80.8421 (50.D79416) |
| 3 | 94.7368 | 100.42105 | 121.2632 (79.435E16) |
| 4 | 126.3157 | 133.8947 | 161.6843 (A1.AF2916) |
| 5 | 157.8947 | 167.3684 | 202.1053 (CA.1AF316) |
| 6 | 189.4737 | 200.8421 | 242.5263 (F2.86BD16) |
| 7 | 221.0526 | 234.3157 | 282.9474 (11A.F28716) |
| 8 | 252.6316 | 267.7895 | 323.3684 (143.5E5116) |
| 9 | 284.2105 | 301.2632 | 365.7895 (16B.CA1B16) |
| 10 | 315.7895 | 334.7368 | 404.2105 (194.35E516) |
| 11 | 347.3684 | 368.2105 | 444.6316 (1BC.A1AF16) |
| 12 | 378.9474 | 401.6843 | 485.0526 (1E5.0D7916) |
| 13 | 410.5263 | 435.1579 | 525.4737 (20D.794316) |
| 14 | 442.1053 | 468.6316 | 565.8947 (235.E50E16) |
| 15 | 473.6843 | 502.1053 | 606.3157 (25E.50D816) |
| 16 | 505.2632 | 535.57895 | 646.7368 (286.BCA216) |
| 17 | 536.8421 | 569.0526 | 687.1579 (2AF.286C16) |
| 18 | 568.42105 | 602.5263 | 727.57895 (2D7.943616) |
| 19 | 600 | 636 | 768 (30016) |
| 20 | 631.57895 | 669.4737 | 808.42105 (328.6BCA16) |
| 21 | 663.1579 | 702.9474 | 848.8421 (350.D79416) |
| 22 | 694.7368 | 736.42105 | 889.2632 (379.435E16) |
| 23 | 726.3157 | 769.8947 | 929.6843 (3A1.AF2916) |
| 24 | 757.8947 | 803.3684 | 970.1053 (3CA.1AF316) |
| 25 | 789.4737 | 836.8421 | 1010.5263 (3F2.86BD16) |
| 26 | 821.0526 | 870.3157 | 1050.9474 (41A.F28716) |
| 27 | 852.6316 | 903.7895 | 1091.3684 (443.5E5116) |
| 28 | 884.2105 | 937.2632 | 1131.7895 (46B.CA1B16) |
| 29 | 915.7895 | 970.7368 | 1172.2105 (494.35E516) |
| 30 | 947.3684 | 1004.2105 | 1212.6316 (4BC.A1AF16) |
| 31 | 978.9474 | 1037.6843 | 1253.0526 (4E5.0D7916) |
| 32 | 1010.5263 | 1071.1579 | 1293.4737 (50D.794316) |
| 33 | 1042.1053 | 1104.6316 | 1333.8947 (535.E50E16) |
| 34 | 1073.6843 | 1138.1053 | 1374.3157 (55E.50D816) |
| 35 | 1105.2632 | 1171.57895 | 1414.7368 (586.BCA216) |
| 36 | 1136.8421 | 1205.0526 | 1455.1579 (5AF.286C16) |
| 37 | 1168.42105 | 1235.5263 | 1495.57895 (5D7.943616) |
| 38 | 1200 | 1272 | 1536 (60016) |