The 60 equal division divides the octave into 60 parts of exactly 20 cents each. Since 60 = 5 * 12, it belongs to the family of edos which contain 12edo, and like the other small edos of this kind, it tempers out the Pythagorean comma, 531441/524288 = |-19 12>. In the 5-limit, it tempers out both the magic comma, 3125/3072, and the amity comma, 1600000/1594323, and supplies the optimal patent val for 5-limit magic, tempering out 3125/3072. In the 7-limit it tempers out 875/864, 245/243, 225/224 and 10976/10935, and supports magic, compton and tritonic temperaments. In the 11-limit, the 60e val scores lower in badness than the patent val, and makes for an excellent tritonic tuning. It tempers out 121/120 and 441/440, whereas the patent val tempers out 100/99, 385/384 and 540/539. The tuning of 13 is superb at half a cent flat, and the 60e val also works excellently for 13-limit tritonic. As a no-fives val, it is also excellent for the 2.3.7.11.13 bleu temperament.

Intervals[edit]

degrees of 60edo	cents value	approximate ratios in the 2.3.5.13 subgroup	additional ratios of 7 and 11 (assuming flat values for primes)
0	0
1	20
2	40
3	60
4	80
5	100
6	120	16/15
7	140
8	160		12/11, 11/10
9	180	10/9
10	200	9/8
11	220
12	240	15/13	8/7
13	260		7/6
14	280
15	300
16	320
17	340		11/9
18	360	16/13
19	380
20	400
21	420		14/11
22	440		9/7
23	460	13/10
24	480
25	500	4/3
26	520
27	540		11/8, 15/11
28	560	18/13
29	580		7/5
30	600
31	620		10/7
32	640	13/8
33	660		16/11, 22/15
34	680
35	700	3/2
36	720
37	740	20/13
38	760		14/9
39	780		11/7
40	800
41	820
42	840	13/8
43	860		18/11
44	880
45	900
46	920
47	940		12/7
48	960	26/15	7/4
49	980
50	1000	16/9
51	1020	9/5
52	1040		11/6, 20/11
53	1060
54	1080	15/8
55	1100
56	1120
57	1140
58	1160
59	1180
60	1200