62ed6

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← 61ed6 62ed6 63ed6 →
Prime factorization 2 × 31
Step size 50.0315¢ 
Octave 24\62ed6 (1200.76¢) (→12\31ed6)
Twelfth 38\62ed6 (1901.2¢) (→19\31ed6)
Consistency limit 5
Distinct consistency limit 5

Division of the sixth harmonic into 62 equal parts (62ED6) is related to 24 edo (quarter-tone tuning), but with the 6/1 rather than the 2/1 being just. The octave is about 0.76 cents stretched and the step size is about 50.03 cents. It is consistent to the 6-integer-limit.

Lookalikes: 24edo, 56ed5, 62ed6, 14edf

Intervals

Steps Cents Approximate ratios
0 0 1/1
1 50 33/32, 34/33, 35/34
2 100.1 18/17, 35/33
3 150.1 12/11
4 200.1 9/8
5 250.2 15/13, 22/19
6 300.2 19/16, 31/26
7 350.2 11/9, 27/22
8 400.3 24/19, 34/27
9 450.3 13/10, 22/17, 35/27
10 500.3 4/3
11 550.3 11/8
12 600.4 17/12, 24/17
13 650.4 16/11, 35/24
14 700.4 3/2
15 750.5 17/11
16 800.5 27/17, 35/22
17 850.5 18/11, 31/19
18 900.6 32/19
19 950.6 26/15
20 1000.6
21 1050.7 11/6
22 1100.7 17/9
23 1150.7 33/17, 35/18
24 1200.8 2/1
25 1250.8 33/16, 35/17
26 1300.8 17/8
27 1350.9 24/11, 35/16
28 1400.9 9/4
29 1450.9 30/13
30 1500.9 19/8, 31/13
31 1551 22/9, 27/11
32 1601
33 1651 13/5
34 1701.1 8/3
35 1751.1 11/4
36 1801.1 17/6
37 1851.2 32/11, 35/12
38 1901.2 3/1
39 1951.2 34/11
40 2001.3 35/11
41 2051.3
42 2101.3
43 2151.4
44 2201.4
45 2251.4 11/3
46 2301.5 34/9
47 2351.5 35/9
48 2401.5 4/1
49 2451.5 33/8
50 2501.6 17/4
51 2551.6 35/8
52 2601.6 9/2
53 2651.7
54 2701.7 19/4
55 2751.7
56 2801.8
57 2851.8 26/5
58 2901.8 16/3
59 2951.9 11/2
60 3001.9 17/3
61 3051.9 35/6
62 3102 6/1

Harmonics

Approximation of harmonics in 62ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +0.8 -0.8 +1.5 +15.5 +0.0 -16.7 +2.3 -1.5 +16.2 +1.3 +0.8
Relative (%) +1.5 -1.5 +3.0 +30.9 +0.0 -33.4 +4.5 -3.0 +32.4 +2.6 +1.5
Steps
(reduced)
24
(24)
38
(38)
48
(48)
56
(56)
62
(0)
67
(5)
72
(10)
76
(14)
80
(18)
83
(21)
86
(24)
Approximation of harmonics in 62ed6
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) +12.3 -16.0 +14.7 +3.0 -1.9 -0.8 +5.7 +17.0 -17.5 +2.1 -24.9
Relative (%) +24.5 -31.9 +29.4 +6.1 -3.7 -1.5 +11.4 +33.9 -34.9 +4.1 -49.7
Steps
(reduced)
89
(27)
91
(29)
94
(32)
96
(34)
98
(36)
100
(38)
102
(40)
104
(42)
105
(43)
107
(45)
108
(46)


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