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User:MisterShafXen/Harmonics in all ETs

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ED3/2s

10ed3/2

Approximation of harmonics in 10edf
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -6.7 -6.7 -13.4 +21.5 -13.4 +0.6 -20.0 -13.4 +14.8 -9.8 -20.0
Relative (%) -9.5 -9.5 -19.0 +30.6 -19.0 +0.8 -28.5 -19.0 +21.1 -13.9 -28.5
Steps
(reduced) 		17
(7) 		27
(7) 		34
(4) 		40
(0) 		44
(4) 		48
(8) 		51
(1) 		54
(4) 		57
(7) 		59
(9) 		61
(1)
Approximation of harmonics in 10edf
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) -18.2 -6.1 +14.8 -26.7 +8.7 -20.0 +26.8 +8.2 -6.1 -16.5 -23.2
Relative (%) -25.9 -8.7 +21.1 -38.0 +12.4 -28.5 +38.1 +11.6 -8.7 -23.4 -33.1
Steps
(reduced) 		63
(3) 		65
(5) 		67
(7) 		68
(8) 		70
(0) 		71
(1) 		73
(3) 		74
(4) 		75
(5) 		76
(6) 		77
(7)

EDOs

10edo

Approximation of odd harmonics in 10edo
Harmonic 3 5 7 9 11 13 15 17 19 21
Error Absolute (¢) +18.0 -26.3 -8.8 +36.1 +48.7 -0.5 -8.3 +15.0 -57.5 +9.2
Relative (%) +15.0 -21.9 -7.4 +30.1 +40.6 -0.4 -6.9 +12.5 -47.9 +7.7
Steps
(reduced) 		16
(6) 		23
(3) 		28
(8) 		32
(2) 		35
(5) 		37
(7) 		39
(9) 		41
(1) 		42
(2) 		44
(4)
Approximation of odd harmonics in 10edo
Harmonic 23 25 27 29 31 33 35 37 39 41
Error Absolute (¢) -28.3 -52.6 +54.1 +50.4 +55.0 -53.3 -35.1 -11.3 +17.5 +50.9
Relative (%) -23.6 -43.9 +45.1 +42.0 +45.8 -44.4 -29.3 -9.5 +14.6 +42.4
Steps
(reduced) 		45
(5) 		46
(6) 		48
(8) 		49
(9) 		50
(0) 		50
(0) 		51
(1) 		52
(2) 		53
(3) 		54
(4)
Approximation of odd harmonics in 10edo
Harmonic 43 45 47 49 51 53 55 57 59 61
Error Absolute (¢) -31.5 +9.8 +54.5 -17.7 +33.1 -33.5 +22.4 -39.5 +20.8 -36.9
Relative (%) -26.3 +8.1 +45.4 -14.7 +27.6 -27.9 +18.6 -32.9 +17.4 -30.7
Steps
(reduced) 		54
(4) 		55
(5) 		56
(6) 		56
(6) 		57
(7) 		57
(7) 		58
(8) 		58
(8) 		59
(9) 		59
(9)
Approximation of odd harmonics in 10edo
Harmonic 63 65 67 69 71 73 75 77
Error Absolute (¢) +27.3 -26.8 +40.7 -10.2 -59.7 +12.2 -34.6 +39.9
Relative (%) +22.7 -22.4 +33.9 -8.5 -49.7 +10.2 -28.8 +33.2
Steps
(reduced) 		60
(0) 		60
(0) 		61
(1) 		61
(1) 		61
(1) 		62
(2) 		62
(2) 		63
(3)

ED5/2s

Approximation of harmonics in 10ed5/2
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +69.1 +1.6 -20.5 +69.1 +70.7 -37.6 +48.5 +3.2 -20.5 -26.9 -18.9
Relative (%) +43.5 +1.0 -12.9 +43.5 +44.6 -23.7 +30.6 +2.0 -12.9 -17.0 -11.9
Steps
(reduced) 		8
(8) 		12
(2) 		15
(5) 		18
(8) 		20
(0) 		21
(1) 		23
(3) 		24
(4) 		25
(5) 		26
(6) 		27
(7)
Approximation of harmonics in 10ed5/2
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) +1.2 +31.5 +70.7 -41.1 +12.6 +72.3 -21.3 +48.5 -35.9 +42.1 -34.8
Relative (%) +0.7 +19.8 +44.6 -25.9 +8.0 +45.6 -13.4 +30.6 -22.7 +26.6 -21.9
Steps
(reduced) 		28
(8) 		29
(9) 		30
(0) 		30
(0) 		31
(1) 		32
(2) 		32
(2) 		33
(3) 		33
(3) 		34
(4) 		34
(4)
Approximation of harmonics in 10ed5/2
Harmonic 24 25 26 27 28 29 30 31 32 33 34
Error Absolute (¢) +50.1 -20.5 +70.2 +4.9 -58.1 +39.8 -18.9 -75.7 +28.0 -25.3 -77.0
Relative (%) +31.6 -12.9 +44.3 +3.1 -36.6 +25.1 -11.9 -47.7 +17.6 -15.9 -48.5
Steps
(reduced) 		35
(5) 		35
(5) 		36
(6) 		36
(6) 		36
(6) 		37
(7) 		37
(7) 		37
(7) 		38
(8) 		38
(8) 		38
(8)
Approximation of harmonics in 10ed5/2
Harmonic 35 36 37 38 39 40 41 42 43 44 45
Error Absolute (¢) +31.5 -17.3 -64.7 +47.7 +2.8 -41.1 +74.8 +33.1 -7.6 -47.4 +72.3
Relative (%) +19.8 -10.9 -40.8 +30.1 +1.7 -25.9 +47.2 +20.9 -4.8 -29.9 +45.6
Steps
(reduced) 		39
(9) 		39
(9) 		39
(9) 		40
(0) 		40
(0) 		40
(0) 		41
(1) 		41
(1) 		41
(1) 		41
(1) 		42
(2)
Approximation of harmonics in 10ed5/2
Harmonic 46 47 48 49 50 51 52 53 54 55 56
Error Absolute (¢) +34.2 -3.0 -39.4 -75.1 +48.5 +14.2 -19.4 -52.4 +73.9 +42.1 +11.0
Relative (%) +21.6 -1.9 -24.9 -47.4 +30.6 +9.0 -12.2 -33.0 +46.6 +26.6 +6.9
Steps
(reduced) 		42
(2) 		42
(2) 		42
(2) 		42
(2) 		43
(3) 		43
(3) 		43
(3) 		43
(3) 		44
(4) 		44
(4) 		44
(4)

ED10s

22ed10

Approximation of harmonics in 22ed10
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +68.4 -90.0 -44.5 -68.4 -21.6 +73.9 +23.9 +1.2 +0.0 +16.2 +46.8
Relative (%) +37.7 -49.7 -24.5 -37.7 -11.9 +40.8 +13.2 +0.7 +0.0 +8.9 +25.8
Steps
(reduced) 		7
(7) 		10
(10) 		13
(13) 		15
(15) 		17
(17) 		19
(19) 		20
(20) 		21
(21) 		22
(0) 		23
(1) 		24
(2)
Approximation of harmonics in 22ed10
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) +89.4 -38.9 +22.8 -88.9 -12.7 +69.6 -24.0 +68.4 -16.1 +84.6 +7.6
Relative (%) +49.3 -21.5 +12.6 -49.1 -7.0 +38.4 -13.3 +37.7 -8.9 +46.7 +4.2
Steps
(reduced) 		25
(3) 		25
(3) 		26
(4) 		26
(4) 		27
(5) 		28
(6) 		28
(6) 		29
(7) 		29
(7) 		30
(8) 		30
(8)
Approximation of harmonics in 22ed10
Harmonic 24 25 26 27 28 29 30 31 32 33 34
Error Absolute (¢) -66.1 +44.5 -23.4 -88.8 +29.4 -31.3 -90.0 +34.4 -20.5 -73.8 +55.7
Relative (%) -36.5 +24.5 -12.9 -49.0 +16.3 -17.3 -49.7 +19.0 -11.3 -40.7 +30.7
Steps
(reduced) 		30
(8) 		31
(9) 		31
(9) 		31
(9) 		32
(10) 		32
(10) 		32
(10) 		33
(11) 		33
(11) 		33
(11) 		34
(12)
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