Xenharmonic Wiki

User:BudjarnLambeth/Sandbox

< User:BudjarnLambeth
Revision as of 04:59, 15 August 2025 by BudjarnLambeth (talk | contribs) (→Sandbox)

This is a working out sandbox page, not a content page.


Sandbox

Approximation of odd harmonics in 435zpi
Harmonic 3 5 7 9 11 13 15 17 19 21 23 25 27
Error Absolute (¢) +1.27 +1.08 +3.02 +2.53 -0.20 -4.67 +2.35 -4.53 -2.27 +4.29 -3.34 +2.16 +3.80
Relative (%) +8.5 +7.2 +20.2 +16.9 -1.3 -31.2 +15.7 -30.3 -15.2 +28.6 -22.3 +14.4 +25.4
Step 127 186 225 254 277 296 313 327 340 352 362 372 381
Approximation of odd harmonics in 435zpi
Harmonic 29 31 33 35 37 39 41 43 45 47 49 51 53
Error Absolute (¢) -0.02 +4.41 +1.07 +4.11 -2.18 -3.40 -0.07 +7.39 +3.62 +3.26 +6.05 -3.27 +5.07
Relative (%) -0.2 +29.4 +7.1 +27.4 -14.6 -22.7 -0.5 +49.3 +24.1 +21.8 +40.4 -21.8 +33.8
Step 389 397 404 411 417 423 429 435 440 445 450 454 459

.

.


Approximation of harmonics in 1ed9/8
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +23.5 -66.8 +46.9 +68.4 -43.3 +97.6 +70.4 +70.4 +91.9 -73.1 -19.8 +45.5 -82.8 +1.7 +93.8 -11.1 +93.8 +0.2
Relative (%) +11.5 -32.7 +23.0 +33.6 -21.2 +47.9 +34.5 +34.5 +45.1 -35.9 -9.7 +22.3 -40.6 +0.8 +46.0 -5.5 +46.0 +0.1
Step 6 9 12 14 15 17 18 19 20 20 21 22 22 23 24 24 25 25


.


.


Approximation of harmonics in 1ed10/9
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +76.8 -77.9 -28.8 -50.3 -1.1 -85.6 +48.1 +26.6 +26.6 +44.0 +75.7 -62.8 -8.7 +54.2 -57.5 +19.9 -79.0 +9.8
Relative (%) +42.1 -42.7 -15.8 -27.6 -0.6 -46.9 +26.4 +14.6 +14.6 +24.1 +41.5 -34.5 -4.8 +29.7 -31.5 +10.9 -43.3 +5.4
Step 7 10 13 15 17 18 20 21 22 23 24 24 25 26 26 27 27 28
Approximation of harmonics in 1ed11/10
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -45.0 +78.1 +75.1 +18.8 +33.1 -68.7 +30.1 -8.8 -26.2 -26.2 -11.8 +14.6 +51.3 -68.2 -14.9 +45.2 -53.8 +17.6
Relative (%) -27.3 +47.3 +45.5 +11.4 +20.1 -41.7 +18.2 -5.3 -15.9 -15.9 -7.2 +8.8 +31.1 -41.3 -9.0 +27.4 -32.6 +10.7
Step 7 12 15 17 19 20 22 23 24 25 26 27 28 28 29 30 30 31
Approximation of harmonics in 1ed12/11
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +5.1 +56.3 +10.2 -74.8 +61.4 -54.8 +15.3 -38.0 -69.8 +66.5 +66.5 -72.1 -49.7 -18.5 +20.4 +66.1 -32.9 +24.1
Relative (%) +3.4 +37.4 +6.8 -49.7 +40.8 -36.4 +10.1 -25.2 -46.3 +44.2 +44.2 -47.8 -33.0 -12.3 +13.5 +43.9 -21.8 +16.0
Step 8 13 16 18 21 22 24 25 26 28 29 29 30 31 32 33 33 34
Approximation of harmonics in 1ed13/12
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +47.2 +38.1 -44.3 -14.9 -53.4 -43.1 +2.9 -62.4 +32.3 +5.9 -6.2 -6.2 +4.1 +23.2 +50.0 -54.9 -15.3 +29.7
Relative (%) +34.0 +27.5 -31.9 -10.7 -38.5 -31.1 +2.1 -45.1 +23.3 +4.2 -4.5 -4.5 +2.9 +16.7 +36.1 -39.6 -11.0 +21.4
Step 9 14 17 20 22 24 26 27 29 30 31 32 33 34 35 35 36 37
Approximation of harmonics in 1ed14/13
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -45.3 +22.5 +37.7 +36.2 -22.8 -33.1 -7.6 +45.0 -9.1 -45.8 +60.2 +49.9 +49.9 +58.8 -53.0 -29.6 -0.3 +34.4
Relative (%) -35.3 +17.6 +29.4 +28.3 -17.8 -25.8 -6.0 +35.1 -7.1 -35.7 +46.9 +38.9 +38.9 +45.8 -41.3 -23.1 -0.2 +26.8
Step 9 15 19 22 24 26 28 30 31 32 34 35 36 37 37 38 39 40
Approximation of harmonics in 1ed15/14
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -5.6 +9.1 -11.1 -39.1 +3.6 -24.4 -16.7 +18.3 -44.7 +29.2 -2.0 -21.1 -30.0 -30.0 -22.3 -7.8 +12.7 +38.5
Relative (%) -4.7 +7.6 -9.3 -32.8 +3.0 -20.5 -14.0 +15.3 -37.4 +24.4 -1.7 -17.7 -25.1 -25.1 -18.7 -6.5 +10.6 +32.3
Step 10 16 20 23 26 28 30 32 33 35 36 37 38 39 40 41 42 43
Approximation of harmonics in 1ed16/15
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +29.0 -2.5 -53.6 +7.0 +26.5 -16.9 -24.6 -5.0 +36.0 -17.3 +55.6 +28.7 +12.2 +4.4 +4.4 +11.2 +24.0 +42.1
Relative (%) +26.0 -2.3 -48.0 +6.2 +23.7 -15.1 -22.0 -4.5 +32.2 -15.4 +49.7 +25.7 +10.9 +4.0 +4.0 +10.0 +21.5 +37.7
Step 11 17 21 25 28 30 32 34 36 37 39 40 41 42 43 44 45 46
Approximation of harmonics in 1ed17/16
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -45.5 -12.8 +14.0 +47.5 +46.7 -10.3 -31.5 -25.5 +2.0 +46.9 +1.2 -32.4 +49.2 +34.7 +27.9 +27.9 +33.9 +45.3
Relative (%) -43.3 -12.2 +13.3 +45.2 +44.5 -9.8 -30.0 -24.3 +1.9 +44.7 +1.2 -30.9 +46.9 +33.1 +26.6 +26.6 +32.3 +43.2
Step 11 18 23 27 30 32 34 36 38 40 41 42 44 45 46 47 48 49
Approximation of harmonics in 1ed18/17
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -12.5 -21.8 -25.1 -15.6 -34.4 -4.4 -37.6 -43.6 -28.1 +4.8 -46.9 +12.4 -16.9 -37.4 +48.8 +42.8 +42.8 +48.1
Relative (%) -12.7 -22.0 -25.4 -15.7 -34.7 -4.4 -38.0 -44.1 -28.4 +4.8 -47.4 +12.6 -17.1 -37.8 +49.3 +43.2 +43.2 +48.6
Step 12 19 24 28 31 34 36 38 40 42 43 45 46 47 49 50 51 52
Approximation of harmonics in 1ed19/18
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +16.8 -29.9 +33.7 +21.8 -13.1 +0.9 -43.1 +33.8 +38.6 -32.8 +3.8 -41.2 +17.7 -8.1 -26.2 -37.6 -43.0 -43.0
Relative (%) +18.0 -31.9 +36.0 +23.3 -13.9 +0.9 -46.0 +36.1 +41.3 -35.0 +4.0 -44.0 +18.9 -8.7 -28.0 -40.2 -45.9 -45.9
Step 13 20 26 30 33 36 38 41 43 44 46 47 49 50 51 52 53 54


.


.


Approximation of harmonics in 1ed20/19
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +43.2 -37.1 -2.4 -33.5 +6.1 +5.6 +40.8 +14.5 +9.7 +22.3 -39.5 -0.5 -40.0 +18.2 -4.8 -20.9 -31.1 -35.9
Relative (%) +48.7 -41.8 -2.7 -37.7 +6.8 +6.3 +46.0 +16.4 +10.9 +25.1 -44.5 -0.6 -45.0 +20.5 -5.4 -23.6 -35.0 -40.4
Step 14 21 27 31 35 38 41 43 45 47 48 50 51 53 54 55 56 57
Approximation of harmonics in 1ed21/20
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -17.5 +40.8 -34.9 +1.1 +23.3 +9.9 +32.1 -2.9 -16.4 -12.4 +5.9 +36.2 -7.6 +41.9 +14.6 -5.9 -20.3 -29.5
Relative (%) -20.7 +48.3 -41.3 +1.3 +27.6 +11.7 +38.0 -3.4 -19.4 -14.7 +7.0 +42.9 -9.0 +49.6 +17.3 -6.9 -24.1 -34.9
Step 14 23 28 33 37 40 43 45 47 49 51 53 54 56 57 58 59 60
Approximation of harmonics in 1ed22/21
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +8.1 +30.9 +16.1 +32.5 +39.0 +13.7 +24.2 -18.7 -40.0 +36.6 -33.5 -11.0 +21.8 -17.1 +32.2 +7.8 -10.6 -23.7
Relative (%) +10.0 +38.4 +20.0 +40.3 +48.4 +17.0 +30.0 -23.2 -49.7 +45.5 -41.6 -13.6 +27.0 -21.3 +40.0 +9.7 -13.2 -29.4
Step 15 24 30 35 39 42 45 47 49 52 53 55 57 58 60 61 62 63
Approximation of harmonics in 1ed23/22
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +31.3 +22.0 -14.4 -15.9 -23.7 +17.3 +17.0 -33.0 +15.4 +4.3 +7.6 +22.9 -28.4 +6.1 -28.7 +20.3 -1.7 -18.4
Relative (%) +40.7 +28.5 -18.6 -20.6 -30.8 +22.4 +22.0 -42.9 +20.0 +5.6 +9.9 +29.8 -36.9 +7.9 -37.3 +26.3 -2.3 -23.9
Step 16 25 31 36 40 44 47 49 52 54 56 58 59 61 62 64 65 66
Approximation of harmonics in 1ed24/23
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -21.1 +13.7 +31.5 +13.6 -7.4 +20.5 +10.4 +27.5 -7.6 -25.2 -28.5 -19.7 -0.6 +27.3 -10.8 +31.6 +6.4 -13.5
Relative (%) -28.7 +18.7 +42.7 +18.4 -10.0 +27.8 +14.0 +37.3 -10.3 -34.2 -38.6 -26.7 -0.8 +37.0 -14.6 +43.0 +8.7 -18.4
Step 16 26 33 38 42 46 49 52 54 56 58 60 62 64 65 67 68 69
Approximation of harmonics in 1ed25/24
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +1.4 +6.2 +2.9 -30.1 +7.6 +23.5 +4.3 +12.4 -28.7 +18.4 +9.1 +11.8 +24.9 -23.9 +5.7 -28.6 +13.8 -9.1
Relative (%) +2.0 +8.8 +4.1 -42.6 +10.8 +33.2 +6.1 +17.5 -40.6 +26.0 +12.8 +16.7 +35.2 -33.8 +8.1 -40.4 +19.6 -12.9
Step 17 27 34 39 44 48 51 54 56 59 61 63 65 66 68 69 71 72
Approximation of harmonics in 1ed26/25
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +22.2 -0.7 -23.5 -2.4 +21.5 +26.2 -1.3 -1.5 +19.8 -9.4 -24.2 -27.0 -19.5 -3.2 +20.9 -16.1 +20.7 -5.0
Relative (%) +32.7 -1.1 -34.6 -3.5 +31.6 +38.6 -1.9 -2.2 +29.2 -13.8 -35.7 -39.8 -28.7 -4.6 +30.8 -23.8 +30.5 -7.4
Step 18 28 35 41 46 50 53 56 59 61 63 65 67 69 71 72 74 75
Approximation of harmonics in 1ed27/26
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -23.9 -7.2 +17.5 +23.2 -31.1 +28.7 -6.4 -14.3 -0.7 +30.3 +10.3 +2.4 +4.8 +16.0 -30.4 -4.7 +27.1 -1.2
Relative (%) -36.6 -11.0 +26.8 +35.5 -47.6 +44.0 -9.9 -22.0 -1.1 +46.3 +15.8 +3.7 +7.3 +24.5 -46.5 -7.1 +41.4 -1.8
Step 18 29 37 43 47 52 55 58 61 64 66 68 70 72 73 75 77 78
Approximation of harmonics in 1ed28/27
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -3.7 -13.1 -7.5 -16.0 -16.9 +31.1 -11.2 -26.3 -19.8 +4.1 -20.6 +29.7 +27.3 -29.2 -15.0 +6.0 -30.0 +2.3
Relative (%) -5.9 -20.9 -11.9 -25.5 -26.8 +49.3 -17.8 -41.7 -31.4 +6.5 -32.7 +47.2 +43.4 -46.3 -23.8 +9.5 -47.6 +3.7
Step 19 30 38 44 49 54 57 60 63 66 68 71 73 74 76 78 79 81
Approximation of harmonics in 1ed29/28
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +15.0 -18.7 +30.1 +8.2 -3.6 -27.5 -15.7 +23.4 +23.3 -20.2 +11.4 -5.7 -12.5 -10.4 -0.6 +15.9 -22.3 +5.6
Relative (%) +24.7 -30.7 +49.5 +13.6 -6.0 -45.3 -25.8 +38.6 +38.3 -33.3 +18.7 -9.4 -20.5 -17.2 -1.1 +26.2 -36.7 +9.2
Step 20 31 40 46 51 55 59 63 66 68 71 73 75 77 79 81 82 84


.


.


Approximation of harmonics in 1ed30/29
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -26.2 -23.8 +6.4 -27.8 +8.7 -23.4 -19.8 +11.0 +4.7 +15.8 -17.5 +20.0 +9.1 +7.1 +12.7 +25.1 -15.1 +8.6
Relative (%) -44.6 -40.6 +10.8 -47.4 +14.8 -39.9 -33.8 +18.8 +8.0 +26.9 -29.8 +34.1 +15.5 +12.0 +21.6 +42.8 -25.8 +14.7
Step 20 32 41 47 53 57 61 65 68 71 73 76 78 80 82 84 85 87
Approximation of harmonics in 1ed31/30
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -7.9 +28.1 -15.8 -4.7 +20.2 -19.6 -23.7 -0.5 -12.6 -7.3 +12.3 -12.7 -27.5 +23.4 +25.2 -23.0 -8.4 +11.5
Relative (%) -13.9 +49.5 -27.8 -8.3 +35.6 -34.5 -41.7 -0.9 -22.3 -12.9 +21.7 -22.4 -48.4 +41.2 +44.4 -40.5 -14.8 +20.3
Step 21 34 42 49 55 59 63 67 70 73 76 78 80 83 85 86 88 90
Approximation of harmonics in 1ed32/31
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +9.2 +21.8 +18.4 +16.9 -23.9 -16.0 -27.3 -11.4 +26.1 +26.0 -14.7 +11.6 -6.8 -16.3 -18.1 -13.1 -2.1 +14.2
Relative (%) +16.8 +39.7 +33.5 +30.7 -43.6 -29.1 -49.7 -20.7 +47.5 +47.3 -26.8 +21.1 -12.3 -29.6 -32.9 -23.9 -3.9 +25.8
Step 22 35 44 51 56 61 65 69 73 76 78 81 83 85 87 89 91 93
Approximation of harmonics in 1ed33/32
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +25.3 +15.9 -2.7 -16.1 -12.1 -12.6 +22.6 -21.5 +9.2 +4.0 +13.2 -18.9 +12.6 -0.2 -5.4 -3.8 +3.7 +16.7
Relative (%) +47.4 +29.8 -5.1 -30.3 -22.8 -23.7 +42.3 -40.4 +17.2 +7.5 +24.7 -35.4 +23.7 -0.5 -10.2 -7.2 +7.0 +31.3
Step 23 36 45 52 58 63 68 71 75 78 81 83 86 88 90 92 94 96
Approximation of harmonics in 1ed34/33
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -11.3 +10.3 -22.6 +4.5 -1.0 -9.5 +17.8 +20.6 -6.8 -16.7 -12.3 +4.2 -20.8 +14.8 +6.5 +4.9 +9.3 +19.1
Relative (%) -21.9 +19.9 -43.7 +8.8 -1.9 -18.3 +34.4 +39.8 -13.1 -32.4 -23.8 +8.1 -40.2 +28.7 +12.5 +9.4 +18.0 +36.9
Step 23 37 46 54 60 65 70 74 77 80 83 86 88 91 93 95 97 99
Approximation of harmonics in 1ed35/34
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +4.4 +5.0 +8.8 +24.0 +9.5 -6.5 +13.3 +10.1 -21.8 +14.0 +13.9 -24.3 -2.1 -21.1 +17.7 +13.1 +14.5 +21.3
Relative (%) +8.8 +10.1 +17.6 +47.8 +18.9 -12.9 +26.4 +20.1 -43.4 +27.8 +27.7 -48.5 -4.1 -42.1 +35.2 +26.1 +28.9 +42.4
Step 24 38 48 56 62 67 72 76 79 83 86 88 91 93 96 98 100 102
Approximation of harmonics in 1ed36/35
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +19.3 +0.1 -10.3 -6.4 +19.3 -3.7 +9.0 +0.2 +12.9 -5.8 -10.2 -2.4 +15.6 -6.3 -20.5 +20.9 +19.4 +23.4
Relative (%) +39.5 +0.2 -21.0 -13.1 +39.7 -7.5 +18.5 +0.4 +26.4 -12.0 -20.8 -5.0 +32.0 -12.9 -42.0 +42.8 +39.9 +47.9
Step 25 39 49 57 64 69 74 78 82 85 88 91 94 96 98 101 103 105
Approximation of harmonics in 1ed37/36
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) -14.1 -4.6 +19.1 +12.3 -18.7 -1.0 +5.0 -9.2 -1.9 +22.9 +14.5 +18.3 -15.2 +7.7 -9.2 -19.2 -23.3 -22.1
Relative (%) -29.8 -9.7 +40.3 +25.9 -39.5 -2.1 +10.5 -19.4 -3.9 +48.2 +30.7 +38.5 -32.0 +16.2 -19.3 -40.6 -49.2 -46.5
Step 25 40 51 59 65 71 76 80 84 88 91 94 96 99 101 103 105 107
Approximation of harmonics in 1ed38/37
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +0.4 -9.0 +0.8 -16.2 -8.6 +1.5 +1.2 -18.1 -15.8 +3.9 -8.2 -8.3 +1.9 +21.0 +1.6 -11.0 -17.7 -18.9
Relative (%) +0.9 -19.6 +1.7 -35.0 -18.7 +3.3 +2.6 -39.1 -34.2 +8.4 -17.8 -18.0 +4.1 +45.4 +3.4 -23.9 -38.3 -41.0
Step 26 41 52 60 67 73 78 82 86 90 93 96 99 102 104 106 108 110
Approximation of harmonics in 1ed39/38
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Error Absolute (¢) +14.2 -13.2 -16.6 +1.8 +1.0 +3.9 -2.4 +18.5 +16.0 -14.1 +15.1 +11.5 +18.1 -11.4 +11.8 -3.3 -12.3 -15.9
Relative (%) +31.5 -29.4 -36.9 +4.0 +2.1 +8.7 -5.4 +41.2 +35.5 -31.4 +33.6 +25.5 +40.2 -25.4 +26.1 -7.3 -27.3 -35.5
Step 27 42 53 62 69 75 80 85 89 92 96 99 102 104 107 109 111 113

































































Page end.

Retrieved from "https://en.xen.wiki/index.php?title=User:BudjarnLambeth/Sandbox&oldid=206935"