62edo

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62 tone equal temperament

62edo divides the octave into 62 equal parts of 19.35484 cents each. 62 = 2 * 31 and the patent val is a contorted 31edo through the 11-limit; in the 13-limit it tempers out 169/168, 1188/1183, 847/845 and 676/675. It provides the optimal patent val for gallium, semivalentine and hemimeantone temperaments.

Using the 35\62 generator, which leads to the <62 97 143 173| val, 62edo is also an excellent tuning for septimal mavila temperament; alternatively <62 97 143 172| supports hornbostel.

62-EDO Intervals

ARMODUE NOMENCLATURE 8;3 RELATION
  • Ɨ = Thick (1/8-tone up)
  • = Semisharp (1/4-tone up)
  • b = Flat (5/8-tone down)
  • = Node (sharp/flat blindspot 1/2-tone)
  • # = Sharp (5/8-tone up)
  • v = Semiflat (1/4-tone down)
  • = Thin (1/8-tone down)
Degree Size (Cents) Armodue notation Approximate intervals
0 0.0000 1
1 19.3548
2 38.7097 1‡ (9#)
3 58.0645 2b
4 77.4194 1◊2
5 96.7742 1#
6 116.1290 2v
7 135.4839 2⌐
8 154.8387 2
9 174.1935
10 193.5484 2‡
11 212.9032 3b ·
12 232.2581 2◊3
13 251.6129 2#
14 270.9677 3v
15 290.3226 3⌐
16 309.6774 3
17 329.0323
18 348.3871 3‡
19 367.7419 4b ·
20 387.0968 3◊4
21 406.4516 3#
22 425.8065 4v (5b)
23 445.1613 4⌐
24 464.5161 4
25 483.8710 4Ɨ (5v)
26 503.2258 5⌐ (4‡)
27 522.5806 5 ·
28 541.9355
29 561.2903 5‡ (4#)
30 580.6452 6b
31 600.0000 5◊6
32 619.3548 5#
33 638.7097 6v
34 658.0645 6⌐
35 677.4194 6 ·
36 696.7742
37 716.1290 6‡
38 735.4839 7b
39 754.8387 6◊7
40 774.1935 6#
41 793.5484 7v
42 812.9032 7⌐
43 832.2581 7 ·
44 851.6129
45 870.9677 7‡
46 890.3226 8b
47 909.6774 7◊8
48 929.0323 7#
49 948.3871 8v
50 967.7419 8⌐
51 987.0968 8 ·
52 1006.4516
53 1025.8065 8‡
54 1045.1613 9b
55 1064.5161 8◊9
56 1083.8710 8#
57 1103.2258 9v (1b)
58 1122.5806 9⌐
59 1141.9355 9
60 1161.2903 9Ɨ (1v)
61 1180.6452 1⌐ (9‡)
62 1200.0000 1