User:MisterShafXen/64ed88

← 63ed88

64ed88

65ed88 →

Prime factorization	26
Step size	121.114 ¢
Octave	10\64ed88 (1211.14 ¢) (→ 5\32ed88)
Twelfth	16\64ed88 (1937.83 ¢) (→ 1\4ed88)
Consistency limit	8
Distinct consistency limit	5

64 equal divisions of the 88th harmonic (abbreviated 64ed88) is a nonoctave tuning system that divides the interval of 88/1 into 64 equal parts of about 121 ¢ each. Each step represents a frequency ratio of 88^1/64, or the 64th root of 88.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	121.1	15/14
2	242.2	23/20
3	363.3	16/13
4	484.5	33/25
5	605.6
6	726.7	32/21, 35/23
7	847.8	31/19
8	968.9	7/4
9	1090	15/8
10	1211.1
11	1332.3	28/13
12	1453.4
13	1574.5
14	1695.6	8/3
15	1816.7	20/7
16	1937.8
17	2058.9	23/7
18	2180.1
19	2301.2
20	2422.3
21	2543.4
22	2664.5	14/3
23	2785.6	5/1
24	2906.7
25	3027.9	23/4
26	3149
27	3270.1	33/5
28	3391.2
29	3512.3
30	3633.4
31	3754.5	35/4
32	3875.7
33	3996.8
34	4117.9
35	4239
36	4360.1
37	4481.2
38	4602.3
39	4723.5
40	4844.6
41	4965.7
42	5086.8
43	5207.9
44	5329
45	5450.1
46	5571.3
47	5692.4
48	5813.5
49	5934.6
50	6055.7
51	6176.8
52	6297.9
53	6419.1
54	6540.2
55	6661.3
56	6782.4
57	6903.5
58	7024.6
59	7145.7
60	7266.9
61	7388
62	7509.1
63	7630.2
64	7751.3