User:BudjarnLambeth/Sandbox: Difference between revisions

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{{Harmonics in equal|26|2|1|intervals=prime|columns=5|start=12}}
{{Harmonics in equal|26|2|1|intervals=prime|columns=5|start=12}}
{{Harmonics in equal|26|2|1|intervals=prime|columns=5|start=17}}
{{Harmonics in equal|26|2|1|intervals=prime|columns=5|start=17}}
{{Harmonics in equal|26|2|1|intervals=prime|columns=5|start=22}}

Revision as of 08:16, 26 December 2024

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


Tables of harmonics

Approximation of harmonics in 26edo
Harmonic 2 3 4 5 6
Error Absolute (¢) +0.0 -9.6 +0.0 -17.1 -9.6
Relative (%) +0.0 -20.9 +0.0 -37.0 -20.9
Steps
(reduced)
26
(0)
41
(15)
52
(0)
60
(8)
67
(15)
Approximation of harmonics in 26edo
Harmonic 7 8 9 10 11
Error Absolute (¢) +0.4 +0.0 -19.3 -17.1 +2.5
Relative (%) +0.9 +0.0 -41.8 -37.0 +5.5
Steps
(reduced)
73
(21)
78
(0)
82
(4)
86
(8)
90
(12)
Approximation of harmonics in 26edo
Harmonic 12 13 14 15 16
Error Absolute (¢) -9.6 -9.8 +0.4 +19.4 +0.0
Relative (%) -20.9 -21.1 +0.9 +42.1 +0.0
Steps
(reduced)
93
(15)
96
(18)
99
(21)
102
(24)
104
(0)
Approximation of harmonics in 26edo
Harmonic 17 18 19 20 21
Error Absolute (¢) -12.6 -19.3 -20.6 -17.1 -9.2
Relative (%) -27.4 -41.8 -44.6 -37.0 -20.0
Steps
(reduced)
106
(2)
108
(4)
110
(6)
112
(8)
114
(10)
Approximation of harmonics in 26edo
Harmonic 22 23 24 25 26
Error Absolute (¢) +2.5 +17.9 -9.6 +12.0 -9.8
Relative (%) +5.5 +38.7 -20.9 +26.0 -21.1
Steps
(reduced)
116
(12)
118
(14)
119
(15)
121
(17)
122
(18)
Approximation of harmonics in 26edo
Harmonic 27 28 29 30 31
Error Absolute (¢) +17.2 +0.4 -14.2 +19.4 +8.8
Relative (%) +37.3 +0.9 -30.8 +42.1 +19.1
Steps
(reduced)
124
(20)
125
(21)
126
(22)
128
(24)
129
(25)
Approximation of harmonics in 26edo
Harmonic 32 33 34 35 36
Error Absolute (¢) +0.0 -7.1 -12.6 -16.7 -19.3
Relative (%) +0.0 -15.4 -27.4 -36.1 -41.8
Steps
(reduced)
130
(0)
131
(1)
132
(2)
133
(3)
134
(4)


Approximation of prime harmonics in 26edo
Harmonic 37 41 43 47 53
Error Absolute (¢) -20.6 -13.7 -3.8 -19.4 +3.4
Relative (%) -44.6 -29.6 -8.3 -41.9 +7.4
Steps
(reduced)
135
(5)
139
(9)
141
(11)
144
(14)
149
(19)
Approximation of prime harmonics in 26edo
Harmonic 59 61 67 71 73
Error Absolute (¢) +2.4 -9.2 +13.0 +4.9 +3.0
Relative (%) +5.1 -19.9 +28.2 +10.7 +6.5
Steps
(reduced)
153
(23)
154
(24)
158
(2)
160
(4)
161
(5)