User:MisterShafXen/65ed66

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65ed66

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Prime factorization	5 × 13
Step size	111.589 ¢
Octave	11\65ed66 (1227.48 ¢)
Twelfth	17\65ed66 (1897.01 ¢)
Consistency limit	3
Distinct consistency limit	3

65 equal divisions of the 66th harmonic (abbreviated 65ed66) is a nonoctave tuning system that divides the interval of 66/1 into 65 equal parts of about 112 ¢ each. Each step represents a frequency ratio of 66^1/65, or the 65th root of 66.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	111.6	31/29, 33/31
2	223.2	25/22, 33/29
3	334.8	17/14, 23/19
4	446.4	22/17, 35/27
5	557.9	29/21
6	669.5	25/17, 28/19
7	781.1	11/7
8	892.7
9	1004.3	25/14, 34/19
10	1115.9	21/11
11	1227.5
12	1339.1	13/6
13	1450.7	30/13
14	1562.2
15	1673.8
16	1785.4	14/5
17	1897
18	2008.6
19	2120.2	17/5
20	2231.8
21	2343.4
22	2455
23	2566.5	22/5
24	2678.1
25	2789.7	5/1
26	2901.3
27	3012.9
28	3124.5
29	3236.1
30	3347.7
31	3459.3
32	3570.8
33	3682.4
34	3794
35	3905.6
36	4017.2
37	4128.8
38	4240.4
39	4352
40	4463.6
41	4575.1
42	4686.7
43	4798.3
44	4909.9
45	5021.5
46	5133.1
47	5244.7
48	5356.3
49	5467.9
50	5579.4
51	5691
52	5802.6
53	5914.2
54	6025.8
55	6137.4
56	6249
57	6360.6
58	6472.2
59	6583.7
60	6695.3
61	6806.9
62	6918.5
63	7030.1
64	7141.7
65	7253.3