User:BudjarnLambeth/Sandbox

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


Tables of harmonics

Approximation of harmonics in 33edo
Harmonic 2 3 4 5 6
Error Absolute (¢) +0.0 -11.0 +0.0 +13.7 -11.0
Relative (%) +0.0 -30.4 +0.0 +37.6 -30.4
Steps
(reduced)
33
(0)
52
(19)
66
(0)
77
(11)
85
(19)
Approximation of harmonics in 33edo
Harmonic 7 8 9 10 11
Error Absolute (¢) +13.0 +0.0 +14.3 +13.7 -5.9
Relative (%) +35.7 +0.0 +39.2 +37.6 -16.1
Steps
(reduced)
93
(27)
99
(0)
105
(6)
110
(11)
114
(15)
Approximation of harmonics in 33edo
Harmonic 12 13 14 15 16
Error Absolute (¢) -11.0 -4.2 +13.0 +2.6 +0.0
Relative (%) -30.4 -11.5 +35.7 +7.3 +0.0
Steps
(reduced)
118
(19)
122
(23)
126
(27)
129
(30)
132
(0)
Approximation of harmonics in 33edo
Harmonic 17 18 19 20 21
Error Absolute (¢) +4.1 +14.3 -6.6 +13.7 +1.9
Relative (%) +11.4 +39.2 -18.2 +37.6 +5.4
Steps
(reduced)
135
(3)
138
(6)
140
(8)
143
(11)
145
(13)
Approximation of harmonics in 33edo
Harmonic 22 23 24 25 26
Error Absolute (¢) -5.9 -10.1 -11.0 -9.0 -4.2
Relative (%) -16.1 -27.8 -30.4 -24.7 -11.5
Steps
(reduced)
147
(15)
149
(17)
151
(19)
153
(21)
155
(23)
Approximation of harmonics in 33edo
Harmonic 27 28 29 30 31
Error Absolute (¢) +3.2 +13.0 -11.4 +2.6 -17.8
Relative (%) +8.9 +35.7 -31.3 +7.3 -48.8
Steps
(reduced)
157
(25)
159
(27)
160
(28)
162
(30)
163
(31)
Approximation of harmonics in 33edo
Harmonic 32 33 34 35 36
Error Absolute (¢) +0.0 -16.9 +4.1 -9.7 +14.3
Relative (%) +0.0 -46.5 +11.4 -26.6 +39.2
Steps
(reduced)
165
(0)
166
(1)
168
(3)
169
(4)
171
(6)


Approximation of prime harmonics in 33edo
Harmonic 37 41 43 47 53
Error Absolute (¢) +3.2 +7.3 -2.4 -11.0 -0.8
Relative (%) +8.8 +20.1 -6.7 -30.1 -2.1
Steps
(reduced)
172
(7)
177
(12)
179
(14)
183
(18)
189
(24)
Approximation of prime harmonics in 33edo
Harmonic 59 61 67 71 73
Error Absolute (¢) -4.6 +10.4 -6.6 +2.1 -9.6
Relative (%) -12.7 +28.6 -18.1 +5.8 -26.4
Steps
(reduced)
194
(29)
196
(31)
200
(2)
203
(5)
204
(6)
Approximation of prime harmonics in 33edo
Harmonic 79 83 89 97 101
Error Absolute (¢) -0.9 -13.7 +10.9 +7.4 +10.1
Relative (%) -2.5 -37.6 +30.1 +20.3 +27.9
Steps
(reduced)
208
(10)
210
(12)
214
(16)
218
(20)
220
(22)