User:BudjarnLambeth/Sandbox2

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User:BudjarnLambeth/Draft related tunings section

Lab

Compressed 49edo

Approximation of harmonics in 49edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.0 +8.2 +0.0 +5.5 +8.2 +10.8 +0.0 -8.0 +5.5 +11.9 +8.2 -7.9
Relative (%) +0.0 +33.7 +0.0 +22.6 +33.7 +44.0 +0.0 -32.6 +22.6 +48.8 +33.7 -32.2
Steps
(reduced) 		49
(0) 		78
(29) 		98
(0) 		114
(16) 		127
(29) 		138
(40) 		147
(0) 		155
(8) 		163
(16) 		170
(23) 		176
(29) 		181
(34)
Approximation of harmonics in 163ed10
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -1.7 +5.6 -3.3 +1.7 +3.9 +6.1 -5.0 +11.2 +0.0 +6.2 +2.3 +10.4
Relative (%) -6.8 +22.9 -13.6 +6.8 +16.1 +24.9 -20.4 +45.8 +0.0 +25.3 +9.3 +42.7
Steps
(reduced) 		49
(49) 		78
(78) 		98
(98) 		114
(114) 		127
(127) 		138
(138) 		147
(147) 		156
(156) 		163
(0) 		170
(7) 		176
(13) 		182
(19)
Approximation of harmonics in 176ed12
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -2.3 +4.6 -4.6 +0.2 +2.3 +4.3 -6.9 +9.2 -2.1 +4.0 +0.0 +8.1
Relative (%) -9.4 +18.8 -18.8 +0.7 +9.4 +17.6 -28.2 +37.6 -8.7 +16.3 +0.0 +33.1
Steps
(reduced) 		49
(49) 		78
(78) 		98
(98) 		114
(114) 		127
(127) 		138
(138) 		147
(147) 		156
(156) 		163
(163) 		170
(170) 		176
(0) 		182
(6)
Approximation of harmonics in 114ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -2.4 +4.5 -4.7 +0.0 +2.1 +4.1 -7.1 +8.9 -2.4 +3.7 -0.3 +7.8
Relative (%) -9.7 +18.3 -19.4 +0.0 +8.6 +16.7 -29.1 +36.6 -9.7 +15.2 -1.1 +31.9
Steps
(reduced) 		49
(49) 		78
(78) 		98
(98) 		114
(0) 		127
(13) 		138
(24) 		147
(33) 		156
(42) 		163
(49) 		170
(56) 		176
(62) 		182
(68)
Approximation of harmonics in 1ed24.419c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -3.5 +2.7 -6.9 -2.5 -0.7 +1.0 -10.4 +5.5 -6.0 -0.1 -4.2 +3.7
Relative (%) -14.2 +11.2 -28.4 -10.4 -3.0 +4.1 -42.6 +22.3 -24.6 -0.4 -17.2 +15.3
Step 49 78 98 114 127 138 147 156 163 170 176 182
Approximation of harmonics in 127ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -3.2 +3.2 -6.4 -1.9 +0.0 +1.8 -9.5 +6.4 -5.1 +0.9 -3.2 +4.8
Relative (%) -13.0 +13.0 -26.1 -7.7 +0.0 +7.4 -39.1 +26.1 -20.7 +3.7 -13.0 +19.6
Steps
(reduced) 		49
(49) 		78
(78) 		98
(98) 		114
(114) 		127
(0) 		138
(11) 		147
(20) 		156
(29) 		163
(36) 		170
(43) 		176
(49) 		182
(55)
Approximation of harmonics in 138ed7
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -3.8 +2.2 -7.6 -3.4 -1.7 +0.0 -11.5 +4.3 -7.2 -1.3 -5.5 +2.4
Relative (%) -15.7 +8.9 -31.3 -13.8 -6.8 +0.0 -47.0 +17.7 -29.5 -5.4 -22.5 +9.9
Steps
(reduced) 		49
(49) 		78
(78) 		98
(98) 		114
(114) 		127
(127) 		138
(0) 		147
(9) 		156
(18) 		163
(25) 		170
(32) 		176
(38) 		182
(44)
Approximation of harmonics in 78edt
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -5.2 +0.0 -10.4 -6.5 -5.2 -3.8 +8.8 +0.0 -11.7 -6.0 -10.4 -2.6
Relative (%) -21.3 +0.0 -42.5 -26.8 -21.3 -15.7 +36.2 +0.0 -48.0 -24.7 -42.5 -10.8
Steps
(reduced) 		49
(49) 		78
(0) 		98
(20) 		114
(36) 		127
(49) 		138
(60) 		148
(70) 		156
(0) 		163
(7) 		170
(14) 		176
(20) 		182
(26)

Stretched 50edo

Approximation of harmonics in 50edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.0 -6.0 +0.0 -2.3 -6.0 -8.8 +0.0 -11.9 -2.3 +0.7 -6.0 -0.5
Relative (%) +0.0 -24.8 +0.0 -9.6 -24.8 -36.8 +0.0 -49.6 -9.6 +2.8 -24.8 -2.2
Steps
(reduced) 		50
(0) 		79
(29) 		100
(0) 		116
(16) 		129
(29) 		140
(40) 		150
(0) 		158
(8) 		166
(16) 		173
(23) 		179
(29) 		185
(35)
Approximation of harmonics in 166ed10
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.7 -4.9 +1.4 -0.7 -4.2 -6.9 +2.1 -9.7 +0.0 +3.1 -3.5 +2.1
Relative (%) +2.9 -20.2 +5.8 -2.9 -17.3 -28.6 +8.7 -40.4 +0.0 +12.9 -14.4 +8.5
Steps
(reduced) 		50
(50) 		79
(79) 		100
(100) 		116
(116) 		129
(129) 		140
(140) 		150
(150) 		158
(158) 		166
(0) 		173
(7) 		179
(13) 		185
(19)
Approximation of harmonics in 116ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +1.0 -4.4 +2.0 +0.0 -3.4 -6.0 +3.0 -8.8 +1.0 +4.1 -2.4 +3.2
Relative (%) +4.2 -18.2 +8.3 +0.0 -14.1 -25.1 +12.5 -36.5 +4.2 +17.2 -9.9 +13.2
Steps
(reduced) 		50
(50) 		79
(79) 		100
(100) 		116
(0) 		129
(13) 		140
(24) 		150
(34) 		158
(42) 		166
(50) 		173
(57) 		179
(63) 		185
(69)
Approximation of harmonics in 1ed24.03c
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +1.5 -3.6 +3.0 +1.2 -2.1 -4.6 +4.5 -7.2 +2.7 +5.9 -0.6 +5.0
Relative (%) +6.2 -14.9 +12.5 +4.9 -8.7 -19.3 +18.7 -29.8 +11.1 +24.4 -2.4 +20.9
Step 50 79 100 116 129 140 150 158 166 173 179 185
Approximation of harmonics in 179ed12
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +1.7 -3.3 +3.3 +1.5 -1.7 -4.2 +5.0 -6.7 +3.2 +6.4 +0.0 +5.6
Relative (%) +6.9 -13.8 +13.8 +6.4 -6.9 -17.3 +20.8 -27.7 +13.4 +26.8 +0.0 +23.4
Steps
(reduced) 		50
(50) 		79
(79) 		100
(100) 		116
(116) 		129
(129) 		140
(140) 		150
(150) 		158
(158) 		166
(166) 		173
(173) 		179
(0) 		185
(6)
Approximation of harmonics in 129ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +2.3 -2.3 +4.6 +3.0 +0.0 -2.4 +6.9 -4.6 +5.3 +8.7 +2.3 +8.0
Relative (%) +9.6 -9.6 +19.2 +12.6 +0.0 -9.8 +28.8 -19.2 +22.2 +36.0 +9.6 +33.3
Steps
(reduced) 		50
(50) 		79
(79) 		100
(100) 		116
(116) 		129
(0) 		140
(11) 		150
(21) 		158
(29) 		166
(37) 		173
(44) 		179
(50) 		185
(56)
Approximation of harmonics in 140ed7
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +3.2 -1.0 +6.3 +5.0 +2.2 +0.0 +9.5 -1.9 +8.2 +11.6 +5.3 +11.1
Relative (%) +13.1 -4.1 +26.2 +20.8 +9.0 +0.0 +39.3 -8.1 +33.9 +48.2 +22.1 +46.3
Steps
(reduced) 		50
(50) 		79
(79) 		100
(100) 		116
(116) 		129
(129) 		140
(0) 		150
(10) 		158
(18) 		166
(26) 		173
(33) 		179
(39) 		185
(45)
Approximation of harmonics in 79edt
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +3.8 +0.0 +7.5 +6.4 +3.8 +1.7 +11.3 +0.0 +10.2 -10.4 +7.5 -10.7
Relative (%) +15.7 +0.0 +31.3 +26.7 +15.7 +7.2 +47.0 +0.0 +42.4 -43.0 +31.3 -44.3
Steps
(reduced) 		50
(50) 		79
(0) 		100
(21) 		116
(37) 		129
(50) 		140
(61) 		150
(71) 		158
(0) 		166
(8) 		172
(14) 		179
(21) 		184
(26)
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