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	Cents	Armodue notation	Approximate intervals
0	0.0000	1
1	19.3548	1Ɨ	90/89
2	38.7097	1‡ (9#)	45/44
3	58.0645	2b	30/29
4	77.41935	1◊2	23/22
5	96.7742	1#	37/35, 18/17, 19/18
6	116.129	2v	31/29, 15/14, 16/15
7	135.4839	2⌐	27/25, 13/12, 14/13
8	154.8387	2	12/11
9	174.19355	2Ɨ	11/10
10	193.5484	2‡	19/17, 9/8, 10/9
11	212.9032	3b	17/15, 9/8
12	232.2581	2◊3	8/7
13	251.6129	2#	15/13
14	270.9677	3v	7/6
15	290.3226	3⌐
16	309.6774	3	6/5
17	329.0323	3Ɨ
18	348.3871	3‡	11/9
19	367.7419	4b	·
20	387.0968	3◊4	5/4
21	406.4516	3#
22	425.80645	4v (5b)
23	445.1613	4⌐
24	464.5161	4
25	483.871	4Ɨ (5v)
26	503.2258	5⌐ (4‡)	4/3
27	522.58065	5	·
28	541.9355	5Ɨ
29	561.2903	5‡ (4#)
30	580.6452	6b	7/5
31	600	5◊6
32	619.3548	5#	10/7
33	638.7097	6v
34	658.0645	6⌐
35	677.41935	6	·
36	696.7742	6Ɨ	3/2
37	716.129	6‡
38	735.4839	7b
39	754.8387	6◊7
40	774.19355	6#
41	793.5484	7v
42	812.9032	7⌐	8/5
43	832.2581	7	·
44	851.6129	7Ɨ	18/11
45	870.9677	7‡
46	890.3226	8b	5/3
47	909.6774	7◊8
48	929.0323	7#	12/7
49	948.3871	8v	26/15
50	967.7419	8⌐	7/4
51	987.0968	8	16/9
52	1006.4516	8Ɨ
53	1025.80645	8‡
54	1045.1613	9b
55	1064.5161	8◊9
56	1083.871	8#
57	1103.2258	9v (1b)
58	1122.58065	9⌐
59	1141.9355	9
60	1161.2903	9Ɨ (1v)
61	1180.6452	1⌐ (9‡)
62	1200	1