User:BudjarnLambeth/Sandbox2

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User:BudjarnLambeth/Draft related tunings section

Lab

Approximation of harmonics in 57edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.00 -7.22 +0.00 -7.37 -7.22 -0.40 +0.00 +6.62 -7.37 -3.95 -7.22 +1.58
Relative (%) +0.0 -34.3 +0.0 -35.0 -34.3 -1.9 +0.0 +31.4 -35.0 -18.8 -34.3 +7.5
Steps
(reduced)
57
(0)
90
(33)
114
(0)
132
(18)
147
(33)
160
(46)
171
(0)
181
(10)
189
(18)
197
(26)
204
(33)
211
(40)


Approximation of harmonics in 58edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.00 +1.49 +0.00 +6.79 +1.49 +3.59 +0.00 +2.99 +6.79 +7.30 +1.49 +7.75
Relative (%) +0.0 +7.2 +0.0 +32.8 +7.2 +17.3 +0.0 +14.4 +32.8 +35.3 +7.2 +37.4
Steps
(reduced)
58
(0)
92
(34)
116
(0)
135
(19)
150
(34)
163
(47)
174
(0)
184
(10)
193
(19)
201
(27)
208
(34)
215
(41)


Approximation of harmonics in 62edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.00 -5.18 +0.00 +0.78 -5.18 -1.08 +0.00 +8.99 +0.78 -9.38 -5.18 -8.27
Relative (%) +0.0 -26.8 +0.0 +4.0 -26.8 -5.6 +0.0 +46.5 +4.0 -48.5 -26.8 -42.7
Steps
(reduced)
62
(0)
98
(36)
124
(0)
144
(20)
160
(36)
174
(50)
186
(0)
197
(11)
206
(20)
214
(28)
222
(36)
229
(43)


Approximation of harmonics in 65edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.00 -0.42 +0.00 +1.38 -0.42 -8.83 +0.00 -0.83 +1.38 +2.53 -0.42 +8.70
Relative (%) +0.0 -2.3 +0.0 +7.5 -2.3 -47.8 +0.0 -4.5 +7.5 +13.7 -2.3 +47.1
Steps
(reduced)
65
(0)
103
(38)
130
(0)
151
(21)
168
(38)
182
(52)
195
(0)
206
(11)
216
(21)
225
(30)
233
(38)
241
(46)


Approximation of harmonics in 66edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.00 +7.14 +0.00 -4.50 +7.14 -5.19 +0.00 -3.91 -4.50 -5.86 +7.14 -4.16
Relative (%) +0.0 +39.2 +0.0 -24.7 +39.2 -28.5 +0.0 -21.5 -24.7 -32.2 +39.2 -22.9
Steps
(reduced)
66
(0)
105
(39)
132
(0)
153
(21)
171
(39)
185
(53)
198
(0)
209
(11)
219
(21)
228
(30)
237
(39)
244
(46)



Approximation of harmonics in 1ed100c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.0 -2.0 +0.0 +13.7 -2.0 +31.2 +0.0 -3.9 +13.7 +48.7 -2.0 -40.5
Relative (%) +0.0 -2.0 +0.0 +13.7 -2.0 +31.2 +0.0 -3.9 +13.7 +48.7 -2.0 -40.5
Step 12 19 24 28 31 34 36 38 40 42 43 44