User:MisterShafXen/57edf

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57edf

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Prime factorization	3 × 19
Step size	12.315 ¢
Octave	97\57edf (1194.56 ¢)
Twelfth	154\57edf (1896.51 ¢)
Consistency limit	3
Distinct consistency limit	3

57 equal divisions of the perfect fifth (abbreviated 57edf or 57ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 57 equal parts of about 12.3 ¢ each. Each step represents a frequency ratio of (3/2)^1/57, or the 57th root of 3/2.

Intervals

Steps	Cents	Approximate ratios
0	0	1/1
1	12.3
2	24.6
3	36.9
4	49.3	34/33
5	61.6	29/28
6	73.9
7	86.2
8	98.5
9	110.8
10	123.2
11	135.5
12	147.8
13	160.1	23/21
14	172.4	21/19
15	184.7	10/9, 29/26
16	197	19/17, 28/25
17	209.4	26/23
18	221.7	25/22, 33/29
19	234
20	246.3
21	258.6	29/25
22	270.9	34/29
23	283.2	33/28
24	295.6
25	307.9	31/26
26	320.2
27	332.5	17/14, 23/19
28	344.8
29	357.1
30	369.5	21/17, 26/21
31	381.8
32	394.1
33	406.4
34	418.7	14/11
35	431
36	443.3	22/17
37	455.7
38	468
39	480.3	29/22, 33/25
40	492.6
41	504.9
42	517.2	27/20, 31/23
43	529.5	19/14, 34/25
44	541.9	26/19
45	554.2	29/21
46	566.5
47	578.8
48	591.1
49	603.4
50	615.8
51	628.1
52	640.4
53	652.7	19/13
54	665	22/15, 25/17
55	677.3	31/21
56	689.6
57	702	3/2