User:BudjarnLambeth/Sandbox: Difference between revisions

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== Tables of harmonics ==
== Tables of harmonics ==
{{Harmonics in equal|33|2|1|intervals=integer|columns=5}}
{{Harmonics in equal|35|2|1|intervals=integer|columns=6}}
{{Harmonics in equal|33|2|1|intervals=integer|columns=5|start=6}}
{{Harmonics in equal|35|2|1|intervals=integer|columns=6|start=7}}
{{Harmonics in equal|33|2|1|intervals=integer|columns=5|start=11}}
{{Harmonics in equal|35|2|1|intervals=integer|columns=6|start=13}}
{{Harmonics in equal|33|2|1|intervals=integer|columns=5|start=16}}
{{Harmonics in equal|35|2|1|intervals=integer|columns=6|start=19}}
{{Harmonics in equal|33|2|1|intervals=integer|columns=5|start=21}}
{{Harmonics in equal|35|2|1|intervals=integer|columns=6|start=25}}
{{Harmonics in equal|33|2|1|intervals=integer|columns=5|start=26}}
{{Harmonics in equal|35|2|1|intervals=integer|columns=6|start=31}}
{{Harmonics in equal|33|2|1|intervals=integer|columns=5|start=31}}


 
{{Harmonics in equal|35|2|1|intervals=prime|columns=6|start=13}}
{{Harmonics in equal|33|2|1|intervals=prime|columns=5|start=12}}
{{Harmonics in equal|35|2|1|intervals=prime|columns=6|start=19}}
{{Harmonics in equal|33|2|1|intervals=prime|columns=5|start=17}}
{{Harmonics in equal|33|2|1|intervals=prime|columns=5|start=22}}

Revision as of 08:59, 26 December 2024

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


Tables of harmonics

Approximation of harmonics in 35edo
Harmonic 2 3 4 5 6 7
Error Absolute (¢) +0.0 -16.2 +0.0 -9.2 -16.2 -8.8
Relative (%) +0.0 -47.4 +0.0 -26.7 -47.4 -25.7
Steps
(reduced)
35
(0)
55
(20)
70
(0)
81
(11)
90
(20)
98
(28)
Approximation of harmonics in 35edo
Harmonic 8 9 10 11 12 13
Error Absolute (¢) +0.0 +1.8 -9.2 -2.7 -16.2 +16.6
Relative (%) +0.0 +5.3 -26.7 -8.0 -47.4 +48.5
Steps
(reduced)
105
(0)
111
(6)
116
(11)
121
(16)
125
(20)
130
(25)
Approximation of harmonics in 35edo
Harmonic 14 15 16 17 18 19
Error Absolute (¢) -8.8 +8.9 +0.0 -2.1 +1.8 +11.1
Relative (%) -25.7 +25.9 +0.0 -6.1 +5.3 +32.3
Steps
(reduced)
133
(28)
137
(32)
140
(0)
143
(3)
146
(6)
149
(9)
Approximation of harmonics in 35edo
Harmonic 20 21 22 23 24 25
Error Absolute (¢) -9.2 +9.2 -2.7 -11.1 -16.2 +15.9
Relative (%) -26.7 +26.9 -8.0 -32.5 -47.4 +46.5
Steps
(reduced)
151
(11)
154
(14)
156
(16)
158
(18)
160
(20)
163
(23)
Approximation of harmonics in 35edo
Harmonic 26 27 28 29 30 31
Error Absolute (¢) +16.6 -14.4 -8.8 -1.0 +8.9 -13.6
Relative (%) +48.5 -42.1 -25.7 -2.9 +25.9 -39.7
Steps
(reduced)
165
(25)
166
(26)
168
(28)
170
(30)
172
(32)
173
(33)
Approximation of harmonics in 35edo
Harmonic 32 33 34 35 36 37
Error Absolute (¢) +0.0 +15.3 -2.1 +16.3 +1.8 -11.3
Relative (%) +0.0 +44.6 -6.1 +47.5 +5.3 -33.1
Steps
(reduced)
175
(0)
177
(2)
178
(3)
180
(5)
181
(6)
182
(7)


Approximation of prime harmonics in 35edo
Harmonic 41 43 47 53 59 61
Error Absolute (¢) +16.7 +2.8 -14.1 -16.4 +3.7 +14.5
Relative (%) +48.6 +8.1 -41.1 -47.7 +10.7 +42.4
Steps
(reduced)
188
(13)
190
(15)
194
(19)
200
(25)
206
(31)
208
(33)
Approximation of prime harmonics in 35edo
Harmonic 67 71 73 79 83 89
Error Absolute (¢) -10.7 -8.3 +12.2 +12.6 -4.3 +12.0
Relative (%) -31.3 -24.1 +35.6 +36.8 -12.6 +34.9
Steps
(reduced)
212
(2)
215
(5)
217
(7)
221
(11)
223
(13)
227
(17)