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|204|12|1|intervals=integer|columns=12}}
{{Harmonics in equal|208|12|1|intervals=integer|columns=12}}


{{Harmonics in equal|197|11|1|intervals=integer|columns=12}}
{{Harmonics in equal|201|11|1|intervals=integer|columns=12}}


{{Harmonics in equal|189|10|1|intervals=integer|columns=12}}
{{Harmonics in equal|193|10|1|intervals=integer|columns=12}}


{{Harmonics in equal|160|7|1|intervals=integer|columns=12}}
{{Harmonics in equal|184|9|1|intervals=integer|columns=12}}


{{Harmonics in equal|147|6|1|intervals=integer|columns=12}}
{{Harmonics in equal|163|7|1|intervals=integer|columns=12}}


{{Harmonics in equal|132|5|1|intervals=integer|columns=12}}
{{Harmonics in equal|150|6|1|intervals=integer|columns=12}}


{{Harmonics in cet|21.135|intervals=integer|columns=12}}
{{Harmonics in equal|135|5|1|intervals=integer|columns=12}}


{{Harmonics in cet|21.064|intervals=integer|columns=12}}
{{Harmonics in equal|92|3|1|intervals=integer|columns=12}}


{{Harmonics in cet|20.950|intervals=integer|columns=12}}
{{Harmonics in cet|20.666|intervals=integer|columns=12}}

Revision as of 05:07, 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 208ed12
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -0.42 +0.83 -0.83 +5.82 +0.42 +2.42 -1.25 +1.67 +5.40 +5.86 +0.00 +6.20
Relative (%) -2.0 +4.0 -4.0 +28.1 +2.0 +11.7 -6.0 +8.1 +26.1 +28.3 +0.0 +30.0
Steps
(reduced) 		58
(58) 		92
(92) 		116
(116) 		135
(135) 		150
(150) 		163
(163) 		174
(174) 		184
(184) 		193
(193) 		201
(201) 		208
(0) 		215
(7)


Approximation of harmonics in 201ed11
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -2.11 -1.85 -4.21 +1.88 -3.96 -2.33 -6.32 -3.70 -0.22 +0.00 -6.06 -0.06
Relative (%) -10.2 -9.0 -20.4 +9.1 -19.2 -11.3 -30.6 -17.9 -1.1 +0.0 -29.4 -0.3
Steps
(reduced) 		58
(58) 		92
(92) 		116
(116) 		135
(135) 		150
(150) 		163
(163) 		174
(174) 		184
(184) 		193
(193) 		201
(0) 		208
(7) 		215
(14)


Approximation of harmonics in 193ed10
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -2.04 -1.74 -4.08 +2.04 -3.78 -2.15 -6.12 -3.49 +0.00 +0.23 -5.82 +0.18
Relative (%) -9.9 -8.4 -19.8 +9.9 -18.3 -10.4 -29.6 -16.9 +0.0 +1.1 -28.2 +0.9
Steps
(reduced) 		58
(58) 		92
(92) 		116
(116) 		135
(135) 		150
(150) 		163
(163) 		174
(174) 		184
(184) 		193
(0) 		201
(8) 		208
(15) 		215
(22)


Approximation of harmonics in 184ed9
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -0.94 +0.00 -1.88 +4.60 -0.94 +0.94 -2.82 +0.00 +3.66 +4.04 -1.88 +4.26
Relative (%) -4.6 +0.0 -9.1 +22.2 -4.6 +4.6 -13.7 +0.0 +17.7 +19.5 -9.1 +20.6
Steps
(reduced) 		58
(58) 		92
(92) 		116
(116) 		135
(135) 		150
(150) 		163
(163) 		174
(174) 		184
(0) 		193
(9) 		201
(17) 		208
(24) 		215
(31)


Approximation of harmonics in 163ed7
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -1.28 -0.53 -2.55 +3.82 -1.81 +0.00 -3.83 -1.06 +2.54 +2.88 -3.09 +3.02
Relative (%) -6.2 -2.6 -12.4 +18.5 -8.8 +0.0 -18.5 -5.1 +12.3 +13.9 -14.9 +14.6
Steps
(reduced) 		58
(58) 		92
(92) 		116
(116) 		135
(135) 		150
(150) 		163
(0) 		174
(11) 		184
(21) 		193
(30) 		201
(38) 		208
(45) 		215
(52)


Approximation of harmonics in 150ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -0.58 +0.58 -1.15 +5.45 +0.00 +1.97 -1.73 +1.15 +4.87 +5.30 -0.58 +5.61
Relative (%) -2.8 +2.8 -5.6 +26.3 +0.0 +9.5 -8.4 +5.6 +23.5 +25.6 -2.8 +27.1
Steps
(reduced) 		58
(58) 		92
(92) 		116
(116) 		135
(135) 		150
(0) 		163
(13) 		174
(24) 		184
(34) 		193
(43) 		201
(51) 		208
(58) 		215
(65)


Approximation of harmonics in 135ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -2.92 -3.13 -5.83 +0.00 -6.05 -4.61 -8.75 -6.27 -2.92 -2.81 -8.97 -3.07
Relative (%) -14.1 -15.2 -28.3 +0.0 -29.3 -22.3 -42.4 -30.4 -14.1 -13.6 -43.5 -14.9
Steps
(reduced) 		58
(58) 		92
(92) 		116
(116) 		135
(0) 		150
(15) 		163
(28) 		174
(39) 		184
(49) 		193
(58) 		201
(66) 		208
(73) 		215
(80)


Approximation of harmonics in 92edt
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -0.94 +0.00 -1.88 +4.60 -0.94 +0.94 -2.82 +0.00 +3.66 +4.04 -1.88 +4.26
Relative (%) -4.6 +0.0 -9.1 +22.2 -4.6 +4.6 -13.7 +0.0 +17.7 +19.5 -9.1 +20.6
Steps
(reduced) 		58
(58) 		92
(0) 		116
(24) 		135
(43) 		150
(58) 		163
(71) 		174
(82) 		184
(0) 		193
(9) 		201
(17) 		208
(24) 		215
(31)


Approximation of harmonics in 1ed20.666c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -1.37 -0.68 -2.74 +3.60 -2.06 -0.27 -4.12 -1.37 +2.22 +2.55 -3.43 +2.66
Relative (%) -6.6 -3.3 -13.3 +17.4 -9.9 -1.3 -19.9 -6.6 +10.8 +12.3 -16.6 +12.9
Step 58 92 116 135 150 163 174 184 193 201 208 215
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