User:BudjarnLambeth/Sandbox2

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User:BudjarnLambeth/Draft related tunings section

Lab

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 244ed13
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +1.13 +8.93 +2.25 -1.88 -8.14 -2.03 +3.38 -0.34 -0.76 -1.97 -7.02 +0.00
Relative (%) +6.2 +49.1 +12.4 -10.4 -44.8 -11.2 +18.6 -1.9 -4.2 -10.8 -38.6 +0.0
Steps
(reduced)
66
(66)
105
(105)
132
(132)
153
(153)
170
(170)
185
(185)
198
(198)
209
(209)
219
(219)
228
(228)
236
(236)
244
(0)


Approximation of harmonics in 237ed12
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -1.99 +3.97 -3.97 +9.05 +1.99 +7.39 -5.96 +7.95 +7.06 +5.42 +0.00 +6.64
Relative (%) -10.9 +21.9 -21.9 +49.9 +10.9 +40.7 -32.8 +43.8 +38.9 +29.9 +0.0 +36.6
Steps
(reduced)
66
(66)
105
(105)
132
(132)
154
(154)
171
(171)
186
(186)
198
(198)
210
(210)
220
(220)
229
(229)
237
(0)
245
(8)


Approximation of harmonics in 228ed11
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +1.70 -8.37 +3.39 -0.56 -6.67 -0.43 +5.09 +1.46 +1.14 +0.00 -4.98 +2.11
Relative (%) +9.3 -46.0 +18.6 -3.1 -36.7 -2.4 +28.0 +8.0 +6.2 +0.0 -27.3 +11.6
Steps
(reduced)
66
(66)
104
(104)
132
(132)
153
(153)
170
(170)
185
(185)
198
(198)
209
(209)
219
(219)
228
(0)
236
(8)
244
(16)


Approximation of harmonics in 219ed10
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +1.35 -8.91 +2.71 -1.35 -7.56 -1.39 +4.06 +0.38 +0.00 -1.18 -6.20 +0.84
Relative (%) +7.4 -49.0 +14.9 -7.4 -41.5 -7.6 +22.3 +2.1 +0.0 -6.5 -34.1 +4.6
Steps
(reduced)
66
(66)
104
(104)
132
(132)
153
(153)
170
(170)
185
(185)
198
(198)
209
(209)
219
(0)
228
(9)
236
(17)
244
(25)


Approximation of harmonics in 209ed9
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +1.23 +9.10 +2.47 -1.63 -7.87 -1.73 +3.70 +0.00 -0.40 -1.60 -6.63 +0.40
Relative (%) +6.8 +50.0 +13.6 -9.0 -43.2 -9.5 +20.4 +0.0 -2.2 -8.8 -36.4 +2.2
Steps
(reduced)
66
(66)
105
(105)
132
(132)
153
(153)
170
(170)
185
(185)
198
(198)
209
(0)
219
(10)
228
(19)
236
(27)
244
(35)


Approximation of harmonics in 185ed7
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +1.85 -8.13 +3.70 -0.20 -6.28 +0.00 +5.55 +1.95 +1.65 +0.53 -4.43 +2.68
Relative (%) +10.2 -44.6 +20.3 -1.1 -34.5 +0.0 +30.5 +10.7 +9.0 +2.9 -24.3 +14.7
Steps
(reduced)
66
(66)
104
(104)
132
(132)
153
(153)
170
(170)
185
(0)
198
(13)
209
(24)
219
(34)
228
(43)
236
(51)
244
(59)


Approximation of harmonics in 171ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -2.75 +2.75 -5.51 +7.26 +0.00 +5.23 -8.26 +5.51 +4.51 +2.76 -2.75 +3.79
Relative (%) -15.2 +15.2 -30.4 +40.0 +0.0 +28.8 -45.5 +30.4 +24.8 +15.2 -15.2 +20.9
Steps
(reduced)
66
(66)
105
(105)
132
(132)
154
(154)
171
(0)
186
(15)
198
(27)
210
(39)
220
(49)
229
(58)
237
(66)
245
(74)


Approximation of harmonics in 153ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +1.94 -7.99 +3.88 +0.00 -6.05 +0.25 +5.82 +2.23 +1.94 +0.84 -4.11 +3.01
Relative (%) +10.6 -43.9 +21.3 +0.0 -33.2 +1.4 +31.9 +12.3 +10.6 +4.6 -22.6 +16.5
Steps
(reduced)
66
(66)
104
(104)
132
(132)
153
(0)
170
(17)
185
(32)
198
(45)
209
(56)
219
(66)
228
(75)
236
(83)
244
(91)


Approximation of harmonics in 1ed18.288c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +7.01 -0.00 -4.27 -6.54 +7.00 -3.83 +2.74 -0.01 +0.47 +0.06 -4.28 +3.46
Relative (%) +38.3 -0.0 -23.4 -35.7 +38.3 -21.0 +15.0 -0.0 +2.6 +0.3 -23.4 +18.9
Step 66 104 131 152 170 184 197 208 218 227 235 243


Approximation of harmonics in 1ed18.205c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +1.53 -8.64 +3.06 -0.95 -7.11 -0.90 +4.59 +0.93 +0.58 -0.58 -5.58 +1.49
Relative (%) +8.4 -47.4 +16.8 -5.2 -39.0 -4.9 +25.2 +5.1 +3.2 -3.2 -30.6 +8.2
Step 66 104 132 153 170 185 198 209 219 228 236 244


Approximation of harmonics in 1ed18.114c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -4.48 +0.01 -8.95 +3.24 -4.46 +0.38 +4.69 +0.03 -1.23 -3.21 -8.94 -2.60
Relative (%) -24.7 +0.1 -49.4 +17.9 -24.6 +2.1 +25.9 +0.2 -6.8 -17.7 -49.3 -14.3
Step 66 105 132 154 171 186 199 210 220 229 237 245