14ed5/2

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← 13ed5/214ed5/215ed5/2 →
Prime factorization 2 × 7
Step size 113.308¢ 
Octave 11\14ed5/2 (1246.39¢)
Twelfth 17\14ed5/2 (1926.24¢)
Consistency limit 3
Distinct consistency limit 2

14 equal divisions of 5/2 (abbreviated 14ed5/2) is a nonoctave tuning system that divides the interval of 5/2 into 14 equal parts of about 113 ¢ each. Each step represents a frequency ratio of (5/2)1/14, or the 14th root of 5/2.

Intervals

Steps Cents Approximate Ratios
0 0 1/1
1 113.308 15/14
2 226.616
3 339.924 11/9, 23/19
4 453.232 9/7, 17/13
5 566.541 7/5
6 679.849 3/2, 19/13, 22/15
7 793.157 11/7
8 906.465 5/3
9 1019.773 9/5
10 1133.081 21/11
11 1246.389
12 1359.697 11/5
13 1473.006 7/3
14 1586.314 5/2

Harmonics

Approximation of harmonics in 14ed5/2
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +46.4 +24.3 -20.5 +46.4 -42.6 +30.4 +25.9 +48.6 -20.5 +41.1 +3.8
Relative (%) +40.9 +21.4 -18.1 +40.9 -37.6 +26.8 +22.8 +42.9 -18.1 +36.3 +3.3
Steps
(reduced)
11
(11)
17
(3)
21
(7)
25
(11)
27
(13)
30
(2)
32
(4)
34
(6)
35
(7)
37
(9)
38
(10)
Approximation of harmonics in 14ed5/2
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) -21.5 -36.5 -42.6 -41.1 -32.7 -18.4 +1.4 +25.9 +54.7 -25.8 +10.5
Relative (%) -19.0 -32.2 -37.6 -36.2 -28.9 -16.2 +1.2 +22.8 +48.3 -22.8 +9.3
Steps
(reduced)
39
(11)
40
(12)
41
(13)
42
(0)
43
(1)
44
(2)
45
(3)
46
(4)
47
(5)
47
(5)
48
(6)