User:BudjarnLambeth/Sandbox: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,262 edits
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,262 edits
Line 3: Line 3:


== Sandbox ==
== Sandbox ==
{{Harmonics in equal|1|15|14|intervals=integer|columns=12}}
{{Harmonics in equal|10|2|1|intervals=integer|columns=12}}
{{Harmonics in equal|1|16|15|intervals=integer|columns=12}}
{{Harmonics in equal|17|3|1|intervals=integer|columns=12}}




Line 18: Line 9:




{{Harmonics in equal|1|18|17|intervals=integer|columns=12}}
{{Harmonics in equal|1|22|21|intervals=integer|columns=12}}
{{Harmonics in equal|34|7|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|19|18|intervals=integer|columns=12}}
{{Harmonics in equal|1|23|22|intervals=integer|columns=12}}
{{Harmonics in equal|36|7|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|20|19|intervals=integer|columns=12}}
{{Harmonics in equal|1|24|23|intervals=integer|columns=12}}
{{Harmonics in equal|27|4|1|intervals=integer|columns=12}}
{{Harmonics in equal|42|6|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|21|20|intervals=integer|columns=12}}
{{Harmonics in equal|1|31|30|intervals=integer|columns=12}}
{{Harmonics in equal|33|5|1|intervals=integer|columns=12}}
{{Harmonics in equal|49|5|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|22|21|intervals=integer|columns=12}}
{{Harmonics in equal|1|32|31|intervals=integer|columns=12}}
{{Harmonics in equal|22|2|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|23|22|intervals=integer|columns=12}}
{{Harmonics in equal|1|33|32|intervals=integer|columns=12}}
{{Harmonics in equal|45|4|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|24|23|intervals=integer|columns=12}}
{{Harmonics in equal|1|34|33|intervals=integer|columns=12}}
{{Harmonics in equal|42|6|1|intervals=integer|columns=12}}
{{Harmonics in equal|60|6|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|25|24|intervals=integer|columns=12}}
{{Harmonics in equal|1|35|34|intervals=integer|columns=12}}
{{Harmonics in equal|17|2|1|intervals=integer|columns=12}}
{{Harmonics in equal|24|2|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|26|25|intervals=integer|columns=12}}
{{Harmonics in equal|1|36|35|intervals=integer|columns=12}}
{{Harmonics in equal|28|3|1|intervals=integer|columns=12}}
{{Harmonics in equal|39|3|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|27|26|intervals=integer|columns=12}}
{{Harmonics in equal|1|37|36|intervals=integer|columns=12}}
{{Harmonics in equal|61|10|1|intervals=integer|columns=12}}
{{Harmonics in equal|71|7|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|28|27|intervals=integer|columns=12}}
{{Harmonics in equal|1|38|37|intervals=integer|columns=12}}
{{Harmonics in equal|19|2|1|intervals=integer|columns=12}}
{{Harmonics in equal|26|2|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|29|28|intervals=integer|columns=12}}
{{Harmonics in equal|1|39|38|intervals=integer|columns=12}}
{{Harmonics in equal|51|6|1|intervals=integer|columns=12}}
{{Harmonics in equal|69|6|1|intervals=integer|columns=12}}






{{Harmonics in equal|1|30|29|intervals=integer|columns=12}}
{{Harmonics in equal|1|40|39|intervals=integer|columns=12}}
{{Harmonics in equal|41|4|1|intervals=integer|columns=12}}
{{Harmonics in equal|82|8|1|intervals=integer|columns=12}}

Revision as of 23:22, 21 September 2025

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


Sandbox

Approximation of harmonics in 1ed17/16
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 11 18 23 27 30 32 34 36 38 40 41 42



Approximation of harmonics in 1ed22/21
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 15 24 30 35 39 42 45 47 49 52 53 55



Approximation of harmonics in 1ed23/22
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 16 25 31 36 40 44 47 49 52 54 56 58



Approximation of harmonics in 1ed24/23
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 16 26 33 38 42 46 49 52 54 56 58 60
Approximation of harmonics in 42ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -18.3 +18.3 -36.6 +20.2 +0.0 +28.6 +18.9 +36.6 +1.9 -15.4 -18.3 -9.2
Relative (%) -24.8 +24.8 -49.6 +27.4 +0.0 +38.7 +25.7 +49.6 +2.6 -20.8 -24.8 -12.4
Steps
(reduced) 		16
(16) 		26
(26) 		32
(32) 		38
(38) 		42
(0) 		46
(4) 		49
(7) 		52
(10) 		54
(12) 		56
(14) 		58
(16) 		60
(18)



Approximation of harmonics in 1ed31/30
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 21 34 42 49 55 59 63 67 70 73 76 78
Approximation of harmonics in 49ed5
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -5.9 -25.5 -11.7 +0.0 +25.5 -13.9 -17.6 +5.9 -5.9 -0.3 +19.7 -5.2
Relative (%) -10.3 -44.8 -20.6 +0.0 +44.9 -24.4 -30.9 +10.5 -10.3 -0.5 +34.6 -9.1
Steps
(reduced) 		21
(21) 		33
(33) 		42
(42) 		49
(0) 		55
(6) 		59
(10) 		63
(14) 		67
(18) 		70
(21) 		73
(24) 		76
(27) 		78
(29)



Approximation of harmonics in 1ed32/31
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 22 35 44 51 56 61 65 69 73 76 78 81
Approximation of harmonics in 22edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.0 +7.1 +0.0 -4.5 +7.1 +13.0 +0.0 +14.3 -4.5 -5.9 +7.1 -22.3
Relative (%) +0.0 +13.1 +0.0 -8.2 +13.1 +23.8 +0.0 +26.2 -8.2 -10.7 +13.1 -41.0
Steps
(reduced) 		22
(0) 		35
(13) 		44
(0) 		51
(7) 		57
(13) 		62
(18) 		66
(0) 		70
(4) 		73
(7) 		76
(10) 		79
(13) 		81
(15)



Approximation of harmonics in 1ed33/32
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 23 36 45 52 58 63 68 71 75 78 81 83
Approximation of harmonics in 45ed4
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +26.7 +18.0 +0.0 -13.0 -8.6 -8.8 +26.7 -17.2 +13.7 +8.7 +18.0 -13.9
Relative (%) +50.0 +33.8 +0.0 -24.3 -16.2 -16.5 +50.0 -32.3 +25.7 +16.3 +33.8 -26.0
Steps
(reduced) 		23
(23) 		36
(36) 		45
(0) 		52
(7) 		58
(13) 		63
(18) 		68
(23) 		71
(26) 		75
(30) 		78
(33) 		81
(36) 		83
(38)



Approximation of harmonics in 1ed34/33
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 23 37 46 54 60 65 70 74 77 80 83 86
Approximation of harmonics in 60ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -10.9 +10.9 -21.8 +5.4 +0.0 -8.4 +18.9 +21.8 -5.5 -15.4 -10.9 +5.6
Relative (%) -21.1 +21.1 -42.2 +10.5 +0.0 -16.2 +36.6 +42.2 -10.6 -29.7 -21.1 +10.8
Steps
(reduced) 		23
(23) 		37
(37) 		46
(46) 		54
(54) 		60
(0) 		65
(5) 		70
(10) 		74
(14) 		77
(17) 		80
(20) 		83
(23) 		86
(26)



Approximation of harmonics in 1ed35/34
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 24 38 48 56 62 67 72 76 79 83 86 88
Approximation of harmonics in 24edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.0 -2.0 +0.0 +13.7 -2.0 -18.8 +0.0 -3.9 +13.7 -1.3 -2.0 +9.5
Relative (%) +0.0 -3.9 +0.0 +27.4 -3.9 -37.7 +0.0 -7.8 +27.4 -2.6 -3.9 +18.9
Steps
(reduced) 		24
(0) 		38
(14) 		48
(0) 		56
(8) 		62
(14) 		67
(19) 		72
(0) 		76
(4) 		80
(8) 		83
(11) 		86
(14) 		89
(17)



Approximation of harmonics in 1ed36/35
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 25 39 49 57 64 69 74 78 82 85 88 91
Approximation of harmonics in 39edt
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +19.2 +0.0 -10.4 -6.5 +19.2 -3.8 +8.8 +0.0 +12.7 -6.0 -10.4 -2.6
Relative (%) +39.4 +0.0 -21.3 -13.4 +39.4 -7.9 +18.1 +0.0 +26.0 -12.4 -21.3 -5.4
Steps
(reduced) 		25
(25) 		39
(0) 		49
(10) 		57
(18) 		64
(25) 		69
(30) 		74
(35) 		78
(0) 		82
(4) 		85
(7) 		88
(10) 		91
(13)



Approximation of harmonics in 1ed37/36
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 25 40 51 59 65 71 76 80 84 88 91 94
Approximation of harmonics in 71ed7
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -13.8 -4.0 +19.9 +13.1 -17.8 +0.0 +6.1 -8.0 -0.7 -23.3 +15.8 +19.6
Relative (%) -29.1 -8.5 +41.9 +27.7 -37.6 +0.0 +12.8 -17.0 -1.4 -49.1 +33.4 +41.3
Steps
(reduced) 		25
(25) 		40
(40) 		51
(51) 		59
(59) 		65
(65) 		71
(0) 		76
(5) 		80
(9) 		84
(13) 		87
(16) 		91
(20) 		94
(23)



Approximation of harmonics in 1ed38/37
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 26 41 52 60 67 73 78 82 86 90 93 96
Approximation of harmonics in 26edo
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +0.0 -9.6 +0.0 -17.1 -9.6 +0.4 +0.0 -19.3 -17.1 +2.5 -9.6 -9.8
Relative (%) +0.0 -20.9 +0.0 -37.0 -20.9 +0.9 +0.0 -41.8 -37.0 +5.5 -20.9 -21.1
Steps
(reduced) 		26
(0) 		41
(15) 		52
(0) 		60
(8) 		67
(15) 		73
(21) 		78
(0) 		82
(4) 		86
(8) 		90
(12) 		93
(15) 		96
(18)



Approximation of harmonics in 1ed39/38
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
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
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
Step 27 42 53 62 69 75 80 85 89 92 96 99
Approximation of harmonics in 69ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) +13.8 -13.8 -17.3 +1.0 +0.0 +2.9 -3.5 +17.3 +14.8 -15.4 +13.8 +10.1
Relative (%) +30.7 -30.7 -38.6 +2.1 +0.0 +6.4 -7.9 +38.6 +32.8 -34.2 +30.7 +22.5
Steps
(reduced) 		27
(27) 		42
(42) 		53
(53) 		62
(62) 		69
(0) 		75
(6) 		80
(11) 		85
(16) 		89
(20) 		92
(23) 		96
(27) 		99
(30)



Approximation of harmonics in 1ed40/39
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -16.6 -17.2 +10.7 +18.9 +10.0 +6.2 -5.9 +9.4 +2.3 +12.6 -6.5 -13.6
Relative (%) -37.8 -39.3 +24.4 +43.1 +22.9 +14.1 -13.4 +21.4 +5.3 +28.8 -14.9 -31.0
Step 27 43 55 64 71 77 82 87 91 95 98 101
Approximation of harmonics in 82ed8
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13
Error Absolute (¢) -14.6 -14.2 +14.6 -20.5 +15.1 +11.7 +0.0 +15.6 +8.8 +19.4 +0.5 -6.4
Relative (%) -33.3 -32.2 +33.3 -46.6 +34.4 +26.6 +0.0 +35.5 +20.1 +44.2 +1.1 -14.5
Steps
(reduced) 		27
(27) 		43
(43) 		55
(55) 		63
(63) 		71
(71) 		77
(77) 		82
(0) 		87
(5) 		91
(9) 		95
(13) 		98
(16) 		101
(19)
Retrieved from "https://en.xen.wiki/index.php?title=User:BudjarnLambeth/Sandbox&oldid=210378"