User:BudjarnLambeth/Sandbox2: Difference between revisions

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== Lab ==
== Lab ==
{{Harmonics in equal|57|2|1|intervals=integer|columns=12}}
{{Harmonics in equal|65|2|1|intervals=integer|columns=12}}


{{Harmonics in equal|208|12|1|intervals=integer|columns=12}}
{{Harmonics in equal|233|12|1|intervals=integer|columns=12}}


{{Harmonics in equal|201|11|1|intervals=integer|columns=12}}
{{Harmonics in equal|225|11|1|intervals=integer|columns=12}}


{{Harmonics in equal|193|10|1|intervals=integer|columns=12}}
{{Harmonics in equal|216|10|1|intervals=integer|columns=12}}


{{Harmonics in equal|184|9|1|intervals=integer|columns=12}}
{{Harmonics in equal|206|9|1|intervals=integer|columns=12}}


{{Harmonics in equal|163|7|1|intervals=integer|columns=12}}
{{Harmonics in equal|168|6|1|intervals=integer|columns=12}}


{{Harmonics in equal|150|6|1|intervals=integer|columns=12}}
{{Harmonics in equal|151|5|1|intervals=integer|columns=12}}


{{Harmonics in equal|135|5|1|intervals=integer|columns=12}}
{{Harmonics in equal|103|3|1|intervals=integer|columns=12}}


{{Harmonics in equal|92|3|1|intervals=integer|columns=12}}
{{Harmonics in cet|18.513|intervals=integer|columns=12}}


{{Harmonics in cet|20.666|intervals=integer|columns=12}}
{{Harmonics in cet|18.457|intervals=integer|columns=12}}

Revision as of 05:13, 19 September 2025

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User:BudjarnLambeth/Draft related tunings section

Lab

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 233ed12
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.12 -0.23 +0.23 +1.65 -0.12 -8.50 +0.35 -0.46 +1.76 +2.93 +0.00 +9.13
Relative (%) +0.6 -1.3 +1.3 +8.9 -0.6 -46.0 +1.9 -2.5 +9.6 +15.9 +0.0 +49.5
Steps
(reduced) 		65
(65) 		103
(103) 		130
(130) 		151
(151) 		168
(168) 		182
(182) 		195
(195) 		206
(206) 		216
(216) 		225
(225) 		233
(0) 		241
(8)


Approximation of harmonics in 225ed11
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -0.73 -1.57 -1.46 -0.32 -2.30 +7.58 -2.19 -3.15 -1.05 +0.00 -3.03 +6.00
Relative (%) -4.0 -8.5 -7.9 -1.7 -12.5 +41.1 -11.9 -17.1 -5.7 +0.0 -16.4 +32.5
Steps
(reduced) 		65
(65) 		103
(103) 		130
(130) 		151
(151) 		168
(168) 		183
(183) 		195
(195) 		206
(206) 		216
(216) 		225
(0) 		233
(8) 		241
(16)


Approximation of harmonics in 216ed10
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -0.41 -1.07 -0.83 +0.41 -1.49 +8.47 -1.24 -2.15 +0.00 +1.09 -1.90 +7.16
Relative (%) -2.2 -5.8 -4.5 +2.2 -8.1 +45.9 -6.7 -11.6 +0.0 +5.9 -10.3 +38.8
Steps
(reduced) 		65
(65) 		103
(103) 		130
(130) 		151
(151) 		168
(168) 		183
(183) 		195
(195) 		206
(206) 		216
(0) 		225
(9) 		233
(17) 		241
(25)


Approximation of harmonics in 206ed9
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.26 +0.00 +0.53 +1.99 +0.26 -8.09 +0.79 +0.00 +2.25 +3.44 +0.53 -8.79
Relative (%) +1.4 +0.0 +2.8 +10.8 +1.4 -43.8 +4.3 +0.0 +12.2 +18.6 +2.8 -47.6
Steps
(reduced) 		65
(65) 		103
(103) 		130
(130) 		151
(151) 		168
(168) 		182
(182) 		195
(195) 		206
(0) 		216
(10) 		225
(19) 		233
(27) 		240
(34)


Approximation of harmonics in 168ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.16 -0.16 +0.32 +1.75 +0.00 -8.37 +0.48 -0.32 +1.91 +3.09 +0.16 -9.16
Relative (%) +0.9 -0.9 +1.7 +9.5 +0.0 -45.4 +2.6 -1.7 +10.4 +16.7 +0.9 -49.6
Steps
(reduced) 		65
(65) 		103
(103) 		130
(130) 		151
(151) 		168
(0) 		182
(14) 		195
(27) 		206
(38) 		216
(48) 		225
(57) 		233
(65) 		240
(72)


Approximation of harmonics in 151ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -0.59 -1.36 -1.19 +0.00 -1.95 +7.96 -1.78 -2.71 -0.59 +0.47 -2.54 +6.50
Relative (%) -3.2 -7.4 -6.4 +0.0 -10.6 +43.2 -9.6 -14.7 -3.2 +2.6 -13.8 +35.2
Steps
(reduced) 		65
(65) 		103
(103) 		130
(130) 		151
(0) 		168
(17) 		183
(32) 		195
(44) 		206
(55) 		216
(65) 		225
(74) 		233
(82) 		241
(90)


Approximation of harmonics in 103edt
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.26 +0.00 +0.53 +1.99 +0.26 -8.09 +0.79 +0.00 +2.25 +3.44 +0.53 -8.79
Relative (%) +1.4 +0.0 +2.8 +10.8 +1.4 -43.8 +4.3 +0.0 +12.2 +18.6 +2.8 -47.6
Steps
(reduced) 		65
(65) 		103
(0) 		130
(27) 		151
(48) 		168
(65) 		182
(79) 		195
(92) 		206
(0) 		216
(10) 		225
(19) 		233
(27) 		240
(34)


Approximation of harmonics in 1ed18.513c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +3.35 +4.88 +6.69 +9.15 +8.23 +0.54 -8.48 -8.75 -6.02 -4.41 -6.94 +2.59
Relative (%) +18.1 +26.4 +36.1 +49.4 +44.4 +2.9 -45.8 -47.2 -32.5 -23.8 -37.5 +14.0
Step 65 103 130 151 168 182 194 205 215 224 232 240


Approximation of harmonics in 1ed18.457c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -0.29 -0.88 -0.59 +0.69 -1.18 +8.81 -0.89 -1.77 +0.40 +1.51 -1.47 +7.61
Relative (%) -1.6 -4.8 -3.2 +3.8 -6.4 +47.7 -4.8 -9.6 +2.2 +8.2 -8.0 +41.2
Step 65 103 130 151 168 183 195 206 216 225 233 241
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