62edt

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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 hekts corresponding
JI intervals
comments
0 exact 1/1
1 30.6767 20.9677 57/56, 56/55
2 61.3534 41.9355 57/55
3 92.0301 62.9032 96/91
4 122.7068 83.871 161/150, 189/176
5 153.3835 104.8387 12/11
6 184.0602 125.80645 10/9
7 214.7369 146.7742 17/15
8 245.4135 167.7412 121/105
9 276.0902 188.7097 20/17
10 306.7669 209.6774 6/5
11 337.4436 230.6452 243/200
12 368.1203 251.6129 16/13
13 398.797 272.58065 34/27
14 429.4737 293.5484 9/7
15 460.1504 314.5161 21/16
16 490.8271 335.4839 4/3
17 521.5038 356.4516 77/57
18 552.1805 377.49135 11/8
19 582.8572 398.3871 7/5
20 613.5339 419.3548 57/40
21 644.2106 440.3226 16/11
22 674.8873 461.2903 96/65
23 705.564 482.2851 3/2
24 736.2406 503.2258 153/100
25 766.9173 524.19355 81/52
26 797.594 545.1613 27/17
27 828.2707 566.129 13/8
28 858.9474 587.0968 69/42
29 889.6241 608.0645 117/70 pseudo-5/3
30 920.3008 629.0323 17/10
31 950.9775 650 26/15
32 981.6542 670.9677 30/17
33 1012.3309 691.9355 70/39 pseudo-9/5
34 1043.0076 712.9032 42/23
35 1073.6843 733.871 119/64
36 1104.361 754.8387 17/9
37 1135.0377 775.80645 52/27
38 1165.7144 796.7742 100/51
39 1196.391 817.7419 2/1 pseudo-octave
40 1227.0677 838.7097 65/32
41 1257.7444 859.6774 114/55
42 1288.4211 880.6452 40/19
43 1319.0978 901.6129 15/7
44 1349.7745 922.58065 24/11
45 1380.4512 943.5484 20/9
46 1411.1279 964.5161 9/4
47 1441.8046 985.4839 23/10
48 1472.4813 1006.4516 7/3
49 1503.158 1027.4194 81/34
50 1533.8347 1048.3871 39/16
51 1564.5114 1069.3548 200/81
52 1595.1881 1090.3226 98/39
53 1625.8648 1111.2903 51/20
54 1656.5415 1132.2581 192/65
55 1687.2181 1153.2258 8/3
56 1717.8948 1174.19355 27/10
57 1748.5715 1195.1613 11/4
58 1779.2482 1216.129 176/63
59 1809.9249 1237.0968 91/32
60 1840.6016 1258.0645 55/19
61 1871.2783 1279.0323 56/19
62 1901.955 1300 exact 3/1 just perfect fifth plus an octave