10ed9/5

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Revision as of 07:17, 14 January 2024 by BudjarnLambeth (talk | contribs) (Added {{Harmonics in equal|10|9|5}} = Intervals = {{interval table}} {{stub}})
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← 9ed9/5 10ed9/5 11ed9/5 →
Prime factorization 2 × 5
Step size 101.76 ¢ 
Octave 12\10ed9/5 (1221.12 ¢) (→ 6\5ed9/5)
Twelfth 19\10ed9/5 (1933.43 ¢)
Consistency limit 4
Distinct consistency limit 4
Approximation of harmonics in 10ed9/5
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +21.1 +31.5 +42.2 -38.8 -49.2 -10.8 -38.4 -38.8 -17.7 +20.8 -28.1
Relative (%) +20.8 +30.9 +41.5 -38.1 -48.3 -10.6 -37.7 -38.1 -17.4 +20.5 -27.6
Steps
(reduced)
12
(2)
19
(9)
24
(4)
27
(7)
30
(0)
33
(3)
35
(5)
37
(7)
39
(9)
41
(1)
42
(2)

Intervals

Steps Cents Approximate ratios
0 0 1/1
1 101.8 14/13, 15/14, 20/19, 21/20, 22/21
2 203.5 9/8, 17/15, 19/17, 21/19
3 305.3 13/11, 17/14, 20/17
4 407 14/11, 19/15
5 508.8 4/3, 15/11, 19/14
6 610.6 7/5, 10/7, 13/9
7 712.3 3/2, 20/13
8 814.1 11/7, 13/8, 21/13
9 915.8 17/10, 19/11, 22/13
10 1017.6 11/6, 16/9, 20/11
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