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User:MisterShafXen/Harmonics in all ETs

< User:MisterShafXen
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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 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76
Error Absolute (¢) -6.7 -6.7 -13.4 +21.5 -13.4 +0.6 -20.0 -13.4 +14.8 -9.8 -20.0 -18.2 -6.1 +14.8 -26.7 +8.7 -20.0 +26.8 +8.2 -6.1 -16.5 -23.2 -26.7 -27.2 -24.9 -20.0 -12.8 -3.4 +8.2 +21.6 -33.4 -16.5 +2.1 +22.1 -26.7 -3.9 +20.1 -24.9 +1.5 +28.9 -12.8 +16.7 -23.1 +8.2 -29.9 +3.1 -33.4 +1.1 -33.9 +2.1 -31.6 +5.7 -26.7 +11.7 -19.5 +20.1 -10.0 +30.6 +1.5 -27.1 +14.9 -12.8 +30.1 +3.3 -23.1 +21.0 -4.6 -29.9 +15.4 -9.2 -33.4 +12.9 -10.6 -33.9 +13.4
Relative (%) -9.5 -9.5 -19.0 +30.6 -19.0 +0.8 -28.5 -19.0 +21.1 -13.9 -28.5 -25.9 -8.7 +21.1 -38.0 +12.4 -28.5 +38.1 +11.6 -8.7 -23.4 -33.1 -38.0 -38.7 -35.5 -28.5 -18.2 -4.8 +11.6 +30.7 -47.6 -23.4 +2.9 +31.4 -38.0 -5.6 +28.6 -35.5 +2.1 +41.2 -18.2 +23.7 -33.0 +11.6 -42.6 +4.4 -47.6 +1.6 -48.2 +2.9 -45.0 +8.1 -38.0 +16.7 -27.7 +28.6 -14.3 +43.6 +2.1 -38.7 +21.2 -18.2 +42.9 +4.7 -33.0 +30.0 -6.6 -42.6 +21.9 -13.1 -47.6 +18.4 -15.1 -48.2 +19.1
Steps
(reduced) 		17
(7) 		27
(7) 		34
(4) 		40
(0) 		44
(4) 		48
(8) 		51
(1) 		54
(4) 		57
(7) 		59
(9) 		61
(1) 		63
(3) 		65
(5) 		67
(7) 		68
(8) 		70
(0) 		71
(1) 		73
(3) 		74
(4) 		75
(5) 		76
(6) 		77
(7) 		78
(8) 		79
(9) 		80
(0) 		81
(1) 		82
(2) 		83
(3) 		84
(4) 		85
(5) 		85
(5) 		86
(6) 		87
(7) 		88
(8) 		88
(8) 		89
(9) 		90
(0) 		90
(0) 		91
(1) 		92
(2) 		92
(2) 		93
(3) 		93
(3) 		94
(4) 		94
(4) 		95
(5) 		95
(5) 		96
(6) 		96
(6) 		97
(7) 		97
(7) 		98
(8) 		98
(8) 		99
(9) 		99
(9) 		100
(0) 		100
(0) 		101
(1) 		101
(1) 		101
(1) 		102
(2) 		102
(2) 		103
(3) 		103
(3) 		103
(3) 		104
(4) 		104
(4) 		104
(4) 		105
(5) 		105
(5) 		105
(5) 		106
(6) 		106
(6) 		106
(6) 		107
(7)

EDOs

10edo

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

ED4s

11ed4

Approximation of harmonics in 11ed4
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70
Error Absolute (¢) +109.1 +61.7 +0.0 +50.0 -47.4 -96.1 +109.1 -94.8 -59.0 -5.9 +61.7 -76.9 +13.0 -106.5 +0.0 -105.0 +14.3 -79.3 +50.0 -34.4 +103.2 +26.3 -47.4 +100.1 +32.2 -33.1 -96.1 +61.3 +2.6 -54.1 +109.1 +55.8 +4.1 -46.0 -94.8 +75.9 +29.8 -15.2 -59.0 -101.8 +74.7 +33.9 -5.9 -44.8 -82.8 +98.1 +61.7 +26.0 -9.0 -43.3 -76.9 +108.3 +76.0 +44.2 +13.0 -17.6 -47.8 -77.4 -106.5 +83.1 +55.0 +27.3 +0.0 -26.8 -53.3 -79.3 -105.0 +88.0 +63.0
Relative (%) +50.0 +28.3 +0.0 +22.9 -21.7 -44.0 +50.0 -43.5 -27.1 -2.7 +28.3 -35.2 +6.0 -48.8 +0.0 -48.1 +6.5 -36.4 +22.9 -15.8 +47.3 +12.0 -21.7 +45.9 +14.8 -15.2 -44.0 +28.1 +1.2 -24.8 +50.0 +25.6 +1.9 -21.1 -43.5 +34.8 +13.6 -7.0 -27.1 -46.7 +34.2 +15.6 -2.7 -20.5 -38.0 +45.0 +28.3 +11.9 -4.1 -19.8 -35.2 +49.6 +34.8 +20.3 +6.0 -8.1 -21.9 -35.5 -48.8 +38.1 +25.2 +12.5 +0.0 -12.3 -24.4 -36.3 -48.1 +40.3 +28.9
Steps
(reduced) 		6
(6) 		9
(9) 		11
(0) 		13
(2) 		14
(3) 		15
(4) 		17
(6) 		17
(6) 		18
(7) 		19
(8) 		20
(9) 		20
(9) 		21
(10) 		21
(10) 		22
(0) 		22
(0) 		23
(1) 		23
(1) 		24
(2) 		24
(2) 		25
(3) 		25
(3) 		25
(3) 		26
(4) 		26
(4) 		26
(4) 		26
(4) 		27
(5) 		27
(5) 		27
(5) 		28
(6) 		28
(6) 		28
(6) 		28
(6) 		28
(6) 		29
(7) 		29
(7) 		29
(7) 		29
(7) 		29
(7) 		30
(8) 		30
(8) 		30
(8) 		30
(8) 		30
(8) 		31
(9) 		31
(9) 		31
(9) 		31
(9) 		31
(9) 		31
(9) 		32
(10) 		32
(10) 		32
(10) 		32
(10) 		32
(10) 		32
(10) 		32
(10) 		32
(10) 		33
(0) 		33
(0) 		33
(0) 		33
(0) 		33
(0) 		33
(0) 		33
(0) 		33
(0) 		34
(1) 		34
(1)

ED10s

22ed10

Approximation of harmonics in 22ed10
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76
Error Absolute (¢) +68.4 -90.0 -44.5 -68.4 -21.6 +73.9 +23.9 +1.2 +0.0 +16.2 +46.8 +89.4 -38.9 +22.8 -88.9 -12.7 +69.6 -24.0 +68.4 -16.1 +84.6 +7.6 -66.1 +44.5 -23.4 -88.8 +29.4 -31.3 -90.0 +34.4 -20.5 -73.8 +55.7 +5.5 -43.2 +90.5 +44.3 -0.6 -44.5 -87.2 +52.3 +11.5 -28.3 -67.2 +76.0 +38.7 +2.3 -33.4 -68.4 +78.5 +44.9 +11.9 -20.4 -52.2 -83.4 +67.2 +37.1 +7.5 -21.6 -50.2 -78.4 +75.1 +47.8 +21.0 -5.4 -31.5 -57.1 -82.4 +73.9 +49.3 +25.1 +1.2 -22.3 -45.5 -68.5
Relative (%) +37.7 -49.7 -24.5 -37.7 -11.9 +40.8 +13.2 +0.7 +0.0 +8.9 +25.8 +49.3 -21.5 +12.6 -49.1 -7.0 +38.4 -13.3 +37.7 -8.9 +46.7 +4.2 -36.5 +24.5 -12.9 -49.0 +16.3 -17.3 -49.7 +19.0 -11.3 -40.7 +30.7 +3.1 -23.9 +50.0 +24.5 -0.3 -24.5 -48.1 +28.9 +6.4 -15.6 -37.1 +41.9 +21.4 +1.3 -18.4 -37.7 +43.3 +24.8 +6.6 -11.3 -28.8 -46.0 +37.1 +20.5 +4.1 -11.9 -27.7 -43.3 +41.5 +26.4 +11.6 -3.0 -17.4 -31.5 -45.5 +40.8 +27.2 +13.9 +0.7 -12.3 -25.1 -37.8
Steps
(reduced) 		7
(7) 		10
(10) 		13
(13) 		15
(15) 		17
(17) 		19
(19) 		20
(20) 		21
(21) 		22
(0) 		23
(1) 		24
(2) 		25
(3) 		25
(3) 		26
(4) 		26
(4) 		27
(5) 		28
(6) 		28
(6) 		29
(7) 		29
(7) 		30
(8) 		30
(8) 		30
(8) 		31
(9) 		31
(9) 		31
(9) 		32
(10) 		32
(10) 		32
(10) 		33
(11) 		33
(11) 		33
(11) 		34
(12) 		34
(12) 		34
(12) 		35
(13) 		35
(13) 		35
(13) 		35
(13) 		35
(13) 		36
(14) 		36
(14) 		36
(14) 		36
(14) 		37
(15) 		37
(15) 		37
(15) 		37
(15) 		37
(15) 		38
(16) 		38
(16) 		38
(16) 		38
(16) 		38
(16) 		38
(16) 		39
(17) 		39
(17) 		39
(17) 		39
(17) 		39
(17) 		39
(17) 		40
(18) 		40
(18) 		40
(18) 		40
(18) 		40
(18) 		40
(18) 		40
(18) 		41
(19) 		41
(19) 		41
(19) 		41
(19) 		41
(19) 		41
(19) 		41
(19)
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