62 tone equal temperament[edit]
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[edit]
| 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
|
1Ɨ
|
|
| 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
|
2Ɨ
|
|
| 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
|
3Ɨ
|
|
| 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
|
5Ɨ
|
|
| 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
|
6Ɨ
|
|
| 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
|
7Ɨ
|
|
| 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
|
8Ɨ
|
|
| 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
|
|