User:MisterShafXen/58ed7

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58ed7

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Prime factorization	2 × 29
Step size	58.0832 ¢
Octave	21\58ed7 (1219.75 ¢)
Twelfth	33\58ed7 (1916.75 ¢)
Consistency limit	3
Distinct consistency limit	3

58 equal divisions of the 7th harmonic (abbreviated 58ed7) is a nonoctave tuning system that divides the interval of 7/1 into 58 equal parts of about 58.1 ¢ each. Each step represents a frequency ratio of 7^1/58, or the 58th root of 7.

Intervals

Steps	Cents	Approximate ratios	Note names (based off of 3\62edo)
0	0	1/1	C
1	58.1		vC#
2	116.2	15/14, 31/29	Db
3	174.2	21/19	vD
4	232.3		Dt
5	290.4	13/11	^D#
6	348.5		…
7	406.6	19/15
8	464.7	17/13
9	522.7	23/17, 27/20
10	580.8	7/5
11	638.9
12	697
13	755.1	17/11
14	813.2
15	871.2
16	929.3
17	987.4	23/13
18	1045.5
19	1103.6
20	1161.7
21	1219.7
22	1277.8	23/11
23	1335.9
24	1394
25	1452.1
26	1510.2
27	1568.2
28	1626.3
29	1684.4
30	1742.5
31	1800.6
32	1858.7
33	1916.7
34	1974.8
35	2032.9
36	2091
37	2149.1
38	2207.2	25/7
39	2265.2
40	2323.3
41	2381.4
42	2439.5
43	2497.6
44	2555.7
45	2613.7
46	2671.8
47	2729.9
48	2788	5/1
49	2846.1
50	2904.2
51	2962.2
52	3020.3
53	3078.4
54	3136.5
55	3194.6	19/3
56	3252.7
57	3310.7
58	3368.8	7/1