User:BudjarnLambeth/Sandbox: Difference between revisions

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== Tables of harmonics ==
== Tables of harmonics ==
{{Harmonics in equal|9|2|1|intervals=integer|columns=5}}
{{Harmonics in equal|19|2|1|intervals=integer|columns=5}}
{{Harmonics in equal|9|2|1|intervals=integer|columns=5|start=6}}
{{Harmonics in equal|19|2|1|intervals=integer|columns=5|start=6}}
{{Harmonics in equal|9|2|1|intervals=integer|columns=5|start=11}}
{{Harmonics in equal|19|2|1|intervals=integer|columns=5|start=11}}
{{Harmonics in equal|9|2|1|intervals=integer|columns=5|start=16}}
{{Harmonics in equal|19|2|1|intervals=integer|columns=5|start=16}}
 
 
{{Harmonics in equal|19|2|1|intervals=prime|columns=5|start=9}}
{{Harmonics in equal|19|2|1|intervals=prime|columns=5|start=14}}

Revision as of 07:32, 26 December 2024

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


Tables of harmonics

Approximation of harmonics in 19edo
Harmonic 2 3 4 5 6
Error Absolute (¢) +0.0 -7.2 +0.0 -7.4 -7.2
Relative (%) +0.0 -11.4 +0.0 -11.7 -11.4
Steps
(reduced)
19
(0)
30
(11)
38
(0)
44
(6)
49
(11)
Approximation of harmonics in 19edo
Harmonic 7 8 9 10 11
Error Absolute (¢) -21.5 +0.0 -14.4 -7.4 +17.1
Relative (%) -34.0 +0.0 -22.9 -11.7 +27.1
Steps
(reduced)
53
(15)
57
(0)
60
(3)
63
(6)
66
(9)
Approximation of harmonics in 19edo
Harmonic 12 13 14 15 16
Error Absolute (¢) -7.2 -19.5 -21.5 -14.6 +0.0
Relative (%) -11.4 -30.8 -34.0 -23.1 +0.0
Steps
(reduced)
68
(11)
70
(13)
72
(15)
74
(17)
76
(0)
Approximation of harmonics in 19edo
Harmonic 17 18 19 20 21
Error Absolute (¢) +21.4 -14.4 +18.3 -7.4 -28.7
Relative (%) +33.8 -22.9 +28.9 -11.7 -45.4
Steps
(reduced)
78
(2)
79
(3)
81
(5)
82
(6)
83
(7)


Approximation of prime harmonics in 19edo
Harmonic 23 29 31 37 41
Error Absolute (¢) +3.3 -19.1 -8.2 +1.3 +13.0
Relative (%) +5.2 -30.2 -13.0 +2.0 +20.7
Steps
(reduced)
86
(10)
92
(16)
94
(18)
99
(4)
102
(7)
Approximation of prime harmonics in 19edo
Harmonic 43 47 53 59 61
Error Absolute (¢) -6.3 +29.2 +10.7 +14.5 +20.0
Relative (%) -9.9 +46.3 +17.0 +23.0 +31.6
Steps
(reduced)
103
(8)
106
(11)
109
(14)
112
(17)
113
(18)