62edt
Division of the third harmonic into 62 equal parts (62edt) is related to 39 edo, but with the 3/1 rather than the 2/1 being just. The octave is about 3.6090 cents compressed and the step size is about 30.6767 cents. It is consistent to the 7-integer-limit, but not to the 8-integer-limit. In comparison, 39edo is only consistent up to the 6-integer-limit.
| degree | cents value | corresponding JI intervals |
comments |
|---|---|---|---|
| 0 | 0.0000 | exact 1/1 | |
| 1 | 30.6767 | 57/56, 56/55 | |
| 2 | 61.3534 | 57/55 | |
| 3 | 92.0301 | 96/91 | |
| 4 | 122.7068 | ||
| 5 | 153.3835 | ||
| 6 | 184.0602 | 208/187 | |
| 7 | 214.7369 | ||
| 8 | 245.4135 | 121/105 | |
| 9 | 276.0902 | ||
| 10 | 306.7669 | ||
| 11 | 337.4436 | 243/200 | |
| 12 | 368.1203 | ||
| 13 | 398.7970 | 34/27 | |
| 14 | 429.4737 | ||
| 15 | 460.1504 | ||
| 16 | 490.8271 | ||
| 17 | 521.5038 | 77/57 | |
| 18 | 552.1805 | 11/8 | |
| 19 | 582.8572 | 7/5 | |
| 20 | 613.5339 | 57/40 | |
| 21 | 644.2106 | ||
| 22 | 674.8873 | 96/65 | |
| 23 | 705.5640 | ||
| 24 | 736.2406 | ||
| 25 | 766.9173 | ||
| 26 | 797.5940 | ||
| 27 | 828.2707 | ||
| 28 | 858.9474 | ||
| 29 | 889.6241 | ||
| 30 | 920.3008 | ||
| 31 | 950.9775 | ||
| 32 | 981.6542 | ||
| 33 | 1012.3309 | ||
| 34 | 1043.0076 | ||
| 35 | 1073.6843 | ||
| 36 | 1104.3610 | ||
| 37 | 1135.0377 | ||
| 38 | 1165.7144 | ||
| 39 | 1196.3910 | ||
| 40 | 1227.0677 | 65/32 | |
| 41 | 1257.7444 | ||
| 42 | 1288.4211 | 40/19 | |
| 43 | 1319.0978 | 15/7 | |
| 44 | 1349.7745 | 24/11 | |
| 45 | 1380.4512 | ||
| 46 | 1411.1279 | ||
| 47 | 1441.8046 | 23/10 | |
| 48 | 1472.4813 | ||
| 49 | 1503.1580 | 81/34 | |
| 50 | 1533.8347 | ||
| 51 | 1564.5114 | 200/81 | |
| 52 | 1595.1881 | 98/39 | |
| 53 | 1625.8648 | ||
| 54 | 1656.5415 | ||
| 55 | 1687.2181 | ||
| 56 | 1717.8948 | ||
| 57 | 1748.5715 | ||
| 58 | 1779.2482 | ||
| 59 | 1809.9249 | 91/32 | |
| 60 | 1840.6016 | 55/19 | |
| 61 | 1871.2783 | 56/19 | |
| 62 | 1901.9550 | exact 3/1 | just perfect fifth plus an octave |