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 | 153/100 | |
25 | 766.9173 | 81/52 | |
26 | 797.5940 | ||
27 | 828.2707 | ||
28 | 858.9474 | 69/42 | |
29 | 889.6241 | 117/70 | |
30 | 920.3008 | ||
31 | 950.9775 | ||
32 | 981.6542 | ||
33 | 1012.3309 | 70/39 | |
34 | 1043.0076 | 42/23 | |
35 | 1073.6843 | 119/64 | |
36 | 1104.3610 | ||
37 | 1135.0377 | 52/27 | |
38 | 1165.7144 | 100/51 | |
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 |