62edo

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		Armodue notation	Approximate intervals
	Cents	7mus
0	0.0000	0	1
1	19.3548	24.7742 (18.C63216)	1Ɨ
2	38.7097	49.5484 (31.8C6316)	1‡ (9#)
3	58.0645	74.3226 (4A.529516)	2b
4	77.41935	99.0968 (63.18C616)	1◊2
5	96.7742	123.871 (7B.DEF816)	1#
6	116.129	148.6452 (94.A52916)	2v
7	135.4839	173.41935 (AD.7B5B16)	2⌐
8	154.8387	198.19355 (C6.318C16)	2
9	174.19355	222.9677 (DE.F7BE16)	2Ɨ
10	193.5484	247.7419 (F7.BDEF816)	2‡
11	212.9032	272.5161 (110.842116)	3b	·
12	232.2581	297.2903 (129.4A5316)	2◊3
13	251.6129	322.0645 (142.108416)	2#
14	270.9677	346.8387 (15A.D6B616)	3v
15	290.3226	371.6129 (173.9CE716)	3⌐
16	309.6774	396.3871 (18C.631916)	3
17	329.0323	421.1613 (1A5.294A16)	3Ɨ
18	348.3871	445.9355 (1BD.EF7C16)	3‡
19	367.7419	470.7097 (1D6.B5AD16)	4b	·
20	387.0968	495.4838 (1EF.7BDF16)	3◊4
21	406.4516	520.2581 (208.4210816)	3#
22	425.80645	545.0323 (221.084216)	4v (5b)
23	445.1613	569.80645 (239.CE7416)	4⌐
24	464.5161	594.58065 (252.94A516)	4
25	483.871	619.3548 (26B.5AD716)	4Ɨ (5v)
26	503.2258	644.129 (284.210816)	5⌐ (4‡)
27	522.58065	668.9032 (29C.E73A16)	5	·
28	541.9355	693.6774 (2B5.AD6B16)	5Ɨ
29	561.2903	718.4516 (2C4.739D16)	5‡ (4#)
30	580.6452	743.2258 (2E7.39CD16)	6b
31	600	768 (30016)	5◊6
32	619.3548	792.7742 (318.C63216)	5#
33	638.7097	813.5484 (331.8C6316)	6v
34	658.0645	842.3226 (34A.529516)	6⌐
35	677.41935	867.0968 (363.18C616)	6	·
36	696.7742	891.871 (37B.DEF816)	6Ɨ
37	716.129	916.6452 (394.A52916)	6‡
38	735.4839	941.41935 (3AD.7B5B16)	7b
39	754.8387	966.19355 (3C6.318C16)	6◊7
40	774.19355	990.9677 (3DE.F7BE16)	6#
41	793.5484	1015.7419 (3F7.BDEF816)	7v
42	812.9032	1040.5161 (410.842116)	7⌐
43	832.2581	1065.2903 (429.4A5316)	7	·
44	851.6129	1090.0645 (442.108416)	7Ɨ
45	870.9677	1114.8387 (45A.D6B616)	7‡
46	890.3226	1139.6129 (473.9CE716)	8b
47	909.6774	1164.3871 (48C.631916)	7◊8
48	929.0323	1189.1613 (4A5.294A16)	7#
49	948.3871	1213.9355 (4BD.EF7C16)	8v
50	967.7419	1238.7097 (4D6.B5AD16)	8⌐
51	987.0968	1263.4838 (4EF.7BDF16)	8	·
52	1006.4516	1288.2581 (508.4210816)	8Ɨ
53	1025.80645	1313.0323 (521.084216)	8‡
54	1045.1613	1337.80645 (539.CE7416)	9b
55	1064.5161	1362.58065 (552.94A516)	8◊9
56	1083.871	1387.3548 (56B.5AD716)	8#
57	1103.2258	1412.129 (584.210816)	9v (1b)
58	1122.58065	1436.9032 (59C.E73A16)	9⌐
59	1141.9355	1461.6774 (5B5.AD6B16)	9
60	1161.2903	1486.4516 (5C4.739D16)	9Ɨ (1v)
61	1180.6452	1411.2258 (5E7.39CD16)	1⌐ (9‡)
62	1200	1536 (60016)	1