User:BudjarnLambeth/Sandbox

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This is a working out sandbox page, not a content page.


Tables of harmonics

Integer

Approximation of harmonics in 5edo
Harmonic 2 3 4 5 6 7
Error Absolute (¢) +0 +18 +0 +94 +18 -9
Relative (%) +0.0 +7.5 +0.0 +39.0 +7.5 -3.7
Steps
(reduced)
5
(0)
8
(3)
10
(0)
12
(2)
13
(3)
14
(4)
Approximation of harmonics in 5edo
Harmonic 8 9 10 11 12 13
Error Absolute (¢) +0 +36 +94 -71 +18 +119
Relative (%) +0.0 +15.0 +39.0 -29.7 +7.5 +49.8
Steps
(reduced)
15
(0)
16
(1)
17
(2)
17
(2)
18
(3)
19
(4)
Approximation of harmonics in 5edo
Harmonic 14 15 16 17 18 19
Error Absolute (¢) -9 +112 +0 -105 +36 -58
Relative (%) -3.7 +46.6 +0.0 -43.7 +15.0 -24.0
Steps
(reduced)
19
(4)
20
(0)
20
(0)
20
(0)
21
(1)
21
(1)
Approximation of harmonics in 5edo
Harmonic 20 21 22 23 24 25
Error Absolute (¢) +94 +9 -71 +92 +18 -53
Relative (%) +39.0 +3.8 -29.7 +38.2 +7.5 -21.9
Steps
(reduced)
22
(2)
22
(2)
22
(2)
23
(3)
23
(3)
23
(3)

Prime

Approximation of prime harmonics in 35edo
Harmonic 2 3 5 7 11 13
Error Absolute (¢) +0.0 -16.2 -9.2 -8.8 -2.7 +16.6
Relative (%) +0.0 -47.4 -26.7 -25.7 -8.0 +48.5
Steps
(reduced)
35
(0)
55
(20)
81
(11)
98
(28)
121
(16)
130
(25)
Approximation of prime harmonics in 35edo
Harmonic 17 19 23 29 31 37
Error Absolute (¢) -2.1 +11.1 -11.1 -1.0 -13.6 -11.3
Relative (%) -6.1 +32.3 -32.5 -2.9 -39.7 -33.1
Steps
(reduced)
143
(3)
149
(9)
158
(18)
170
(30)
173
(33)
182
(7)