User:BudjarnLambeth/Sandbox2: Difference between revisions

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{{Harmonics in equal|57|2|1|intervals=integer|columns=12}}
{{Harmonics in equal|57|2|1|intervals=integer|columns=12}}


{{Harmonics in equal|58|2|1|intervals=integer|columns=12}}
{{Harmonics in equal|204|12|1|intervals=integer|columns=12}}


{{Harmonics in equal|62|2|1|intervals=integer|columns=12}}
{{Harmonics in equal|197|11|1|intervals=integer|columns=12}}


{{Harmonics in equal|65|2|1|intervals=integer|columns=12}}
{{Harmonics in equal|189|10|1|intervals=integer|columns=12}}


{{Harmonics in equal|66|2|1|intervals=integer|columns=12}}
{{Harmonics in equal|160|7|1|intervals=integer|columns=12}}


{{Harmonics in equal|147|6|1|intervals=integer|columns=12}}


{{Harmonics in equal|132|5|1|intervals=integer|columns=12}}


{{Harmonics in cet|100|intervals=integer|columns=12}}
{{Harmonics in cet|21.135|intervals=integer|columns=12}}
 
{{Harmonics in cet|21.064|intervals=integer|columns=12}}
 
{{Harmonics in cet|20.950|intervals=integer|columns=12}}

Revision as of 05:03, 19 September 2025

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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 204ed12
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +2.02 -4.03 +4.03 -2.70 -2.02 +5.26 +6.05 -8.07 -0.68 +3.02 +0.00 +9.04
Relative (%) +9.6 -19.1 +19.1 -12.8 -9.6 +24.9 +28.7 -38.3 -3.2 +14.3 +0.0 +42.9
Steps
(reduced) 		57
(57) 		90
(90) 		114
(114) 		132
(132) 		147
(147) 		160
(160) 		171
(171) 		180
(180) 		189
(189) 		197
(197) 		204
(0) 		211
(7)


Approximation of harmonics in 197ed11
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +1.14 -5.41 +2.29 -4.72 -4.27 +2.80 +3.43 +10.25 -3.58 +0.00 -3.13 +5.81
Relative (%) +5.4 -25.7 +10.8 -22.4 -20.3 +13.3 +16.3 +48.6 -17.0 +0.0 -14.8 +27.6
Steps
(reduced) 		57
(57) 		90
(90) 		114
(114) 		132
(132) 		147
(147) 		160
(160) 		171
(171) 		181
(181) 		189
(189) 		197
(0) 		204
(7) 		211
(14)


Approximation of harmonics in 189ed10
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +2.22 -3.71 +4.44 -2.22 -1.49 +5.83 +6.66 -7.42 +0.00 +3.73 +0.73 +9.80
Relative (%) +10.5 -17.6 +21.1 -10.5 -7.1 +27.6 +31.6 -35.2 +0.0 +17.7 +3.5 +46.5
Steps
(reduced) 		57
(57) 		90
(90) 		114
(114) 		132
(132) 		147
(147) 		160
(160) 		171
(171) 		180
(180) 		189
(0) 		197
(8) 		204
(15) 		211
(22)


Approximation of harmonics in 160ed7
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.14 -6.99 +0.29 -7.03 -6.85 +0.00 +0.43 +7.07 -6.89 -3.45 -6.70 +2.11
Relative (%) +0.7 -33.2 +1.4 -33.4 -32.5 +0.0 +2.1 +33.6 -32.7 -16.4 -31.8 +10.0
Steps
(reduced) 		57
(57) 		90
(90) 		114
(114) 		132
(132) 		147
(147) 		160
(0) 		171
(11) 		181
(21) 		189
(29) 		197
(37) 		204
(44) 		211
(51)


Approximation of harmonics in 147ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +2.80 -2.80 +5.60 -0.88 +0.00 +7.45 +8.40 -5.60 +1.91 +5.72 +2.80 -9.16
Relative (%) +13.3 -13.3 +26.5 -4.2 +0.0 +35.3 +39.8 -26.5 +9.1 +27.1 +13.3 -43.4
Steps
(reduced) 		57
(57) 		90
(90) 		114
(114) 		132
(132) 		147
(0) 		160
(13) 		171
(24) 		180
(33) 		189
(42) 		197
(50) 		204
(57) 		210
(63)


Approximation of harmonics in 132ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +3.18 -2.20 +6.36 +0.00 +0.99 +8.52 +9.54 -4.39 +3.18 +7.04 +4.17 -7.76
Relative (%) +15.1 -10.4 +30.1 +0.0 +4.7 +40.4 +45.2 -20.8 +15.1 +33.4 +19.7 -36.7
Steps
(reduced) 		57
(57) 		90
(90) 		114
(114) 		132
(0) 		147
(15) 		160
(28) 		171
(39) 		180
(48) 		189
(57) 		197
(65) 		204
(72) 		210
(78)


Approximation of harmonics in 1ed21.135c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +4.69 +0.19 +9.39 +3.51 +4.89 -8.36 -7.05 +0.39 +8.20 -8.86 +9.58 -2.18
Relative (%) +22.2 +0.9 +44.4 +16.6 +23.1 -39.6 -33.4 +1.8 +38.8 -41.9 +45.4 -10.3
Step 57 90 114 132 147 159 170 180 189 196 204 210


Approximation of harmonics in 1ed21.064c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.65 -6.20 +1.30 -5.87 -5.55 +1.41 +1.94 +8.67 -5.22 -1.71 -4.90 +3.98
Relative (%) +3.1 -29.4 +6.2 -27.8 -26.3 +6.7 +9.2 +41.2 -24.8 -8.1 -23.3 +18.9
Step 57 90 114 132 147 160 171 181 189 197 204 211


Approximation of harmonics in 1ed20.95c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -5.85 +4.49 +9.25 +0.04 -1.36 +4.12 +3.40 +8.99 -5.81 -3.22 -7.21 +0.87
Relative (%) -27.9 +21.5 +44.2 +0.2 -6.5 +19.7 +16.2 +42.9 -27.8 -15.4 -34.4 +4.2
Step 57 91 115 133 148 161 172 182 190 198 205 212
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