User:MisterShafXen/63ed9/4

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63ed9/4

65ed9/4 →

Prime factorization	32 × 7
Step size	22.2843 ¢
Octave	54\63ed9/4 (1203.35 ¢) (→ 6\7ed9/4)
Twelfth	85\63ed9/4 (1894.16 ¢)
Consistency limit	2
Distinct consistency limit	2

63 equal divisions of 9/4 (abbreviated 63ed9/4) is a nonoctave tuning system that divides the interval of 9/4 into 63 equal parts of about 22.3 ¢ each. Each step represents a frequency ratio of (9/4)^1/63, or the 63rd root of 9/4.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	22.3
2	44.6
3	66.9	25/24, 26/25
4	89.1	20/19
5	111.4	31/29
6	133.7
7	156	34/31
8	178.3	31/28
9	200.6
10	222.8	25/22
11	245.1	15/13, 23/20
12	267.4	7/6
13	289.7	13/11
14	312	6/5
15	334.3	17/14, 23/19
16	356.5
17	378.8
18	401.1	24/19, 29/23
19	423.4
20	445.7	22/17, 31/24
21	468	17/13
22	490.3
23	512.5	31/23, 35/26
24	534.8	15/11, 34/25
25	557.1
26	579.4	7/5
27	601.7	17/12
28	624
29	646.2	29/20
30	668.5	25/17, 28/19
31	690.8
32	713.1
33	735.4	26/17, 29/19
34	757.7	17/11, 31/20
35	780	11/7
36	802.2	35/22
37	824.5
38	846.8	31/19
39	869.1
40	891.4
41	913.7	22/13
42	935.9	12/7
43	958.2
44	980.5	30/17
45	1002.8	25/14
46	1025.1
47	1047.4	11/6
48	1069.6	13/7
49	1091.9
50	1114.2	19/10
51	1136.5
52	1158.8
53	1181.1
54	1203.4	2/1
55	1225.6
56	1247.9	35/17
57	1270.2	25/12
58	1292.5
59	1314.8
60	1337.1	13/6
61	1359.3
62	1381.6
63	1403.9