User:MisterShafXen/55ed7

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55ed7

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Prime factorization	5 × 11
Step size	61.2514 ¢
Octave	20\55ed7 (1225.03 ¢) (→ 4\11ed7)
Twelfth	31\55ed7 (1898.79 ¢)
Consistency limit	3
Distinct consistency limit	3

55 equal divisions of the 7th harmonic (abbreviated 55ed7) is a nonoctave tuning system that divides the interval of 7/1 into 55 equal parts of about 61.3 ¢ each. Each step represents a frequency ratio of 7^1/55, or the 55th root of 7.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	61.3	27/26, 30/29, 31/30
2	122.5	29/27
3	183.8	10/9
4	245	15/13, 23/20
5	306.3	31/26
6	367.5	21/17, 26/21
7	428.8	23/18
8	490
9	551.3
10	612.5	10/7, 27/19
11	673.8	31/21
12	735	26/17, 29/19
13	796.3	27/17
14	857.5	18/11, 23/14
15	918.8	17/10
16	980	30/17
17	1041.3	31/17
18	1102.5	17/9
19	1163.8
20	1225
21	1286.3	21/10
22	1347.5
23	1408.8
24	1470	7/3
25	1531.3	17/7
26	1592.5
27	1653.8	13/5
28	1715	27/10
29	1776.3
30	1837.5	26/9
31	1898.8	3/1
32	1960	31/10
33	2021.3	29/9
34	2082.5	10/3
35	2143.8	31/9
36	2205
37	2266.3
38	2327.6	23/6
39	2388.8
40	2450.1
41	2511.3
42	2572.6	31/7
43	2633.8
44	2695.1
45	2756.3
46	2817.6
47	2878.8
48	2940.1
49	3001.3	17/3
50	3062.6
51	3123.8
52	3185.1
53	3246.3
54	3307.6
55	3368.8	7/1