61ed7

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61ed7

62ed7 →

Prime factorization	61 (prime)
Step size	55.2267¢
Octave	22\61ed7 (1214.99¢)
Twelfth	34\61ed7 (1877.71¢)
Consistency limit	2
Distinct consistency limit	2

Division of the 7th harmonic into 61 equal parts (61ed7) is related to the alphaquarter temperament, which tempers out 3025/3024, 4000/3993, and 5120/5103 in the 11-limit; 325/324, 364/363, 1001/1000, and 4096/4095 in the 13-limit. The step size is about 55.2267 cents, corresponding to 21.7286 edo.

degree	cents value	corresponding JI intervals	comments
0	0.0000	exact 1/1
1	55.2267	33/32
2	110.4533	16/15
3	165.6800	11/10
4	220.9066	25/22
5	276.1333	88/75
6	331.3599	40/33
7	386.5866	5/4
8	441.8132	(49/38)
9	497.0399	4/3
10	552.2665	11/8
11	607.4932	(91/64), 64/45
12	662.7199	22/15
13	717.9465	50/33
14	773.1732	25/16
15	828.3998
16	883.6265	5/3
17	938.8531	55/32
18	994.0798	16/9
19	1049.3064	11/6
20	1104.5331
21	1159.7597
22	1214.9864
23	1270.2130	25/12
24	1325.4397
25	1380.6664	20/9
26	1435.8930	55/24
27	1491.1197
28	1546.3463
29	1601.5730	63/25
30	1656.7996
31	1712.0263
32	1767.2529	25/9
33	1822.4796
34	1877.7062
35	1932.9329
36	1988.1596
37	2043.3862	88/27
38	2098.6129	84/25
39	2153.8395
40	2209.0662	(68/19)
41	2264.2928	100/27
42	2319.5195	42/11
43	2374.7461	63/16
44	2429.9728	(57/14), 224/55, 110/27
45	2485.1994	21/5
46	2540.4261	(13/3)
47	2595.6527
48	2650.8794
49	2706.1061	105/22
50	2761.3327	(64/13)
51	2816.5594	56/11
52	2871.7860	21/4
53	2927.0127	(38/7)
54	2982.2393	28/5
55	3037.4660	(52/9)
56	3092.6926
57	3147.9193	(80/13)
58	3203.1459	70/11
59	3258.3726	105/16
60	3313.5993	(88/13)
61	3368.8259	exact 7/1	harmonic seventh plus two octaves

Music

• A Gift (a day late, i am ashamed) by Nicolai Pulley