User:BudjarnLambeth/Sandbox: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,215 edits
mNo edit summary
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,215 edits
mNo edit summary
Line 2: Line 2:




{| class="wikitable mw-collapsible"
==== Tables of harmonics ====
!Step
{{Harmonics in equal
!Interval (¢)
| steps = 26
!JI approximated
| num = 5
!Comments
| denom = 1
|-
| intervals = integer
|1
| start = 1
|148.5
| title = Harmonics 2 to 12 (26ed5)
|12/11
}}
|
{{Harmonics in equal
|-
| steps = 26
|2
| num = 5
|297.0
| denom = 1
|13/11
| intervals = integer
|
| collapsed = 1
|-
| start = 12
|3
| title = Harmonics 13 to 23 (26ed5)
|445.5
}}
|22/17
{{Harmonics in equal
|
| steps = 26
|-
| num = 5
|4
| denom = 1
|594.0
| intervals = integer
|17/12
| collapsed = 1
|
| start = 23
|-
| title = Harmonics 24 to 34 (26ed5)
|5
}}
|742.5
{{Harmonics in equal
|17/11, 20/13
| steps = 26
|
| num = 5
|-
| denom = 1
|6
| intervals = integer
|891.0
| collapsed = 1
|20/12
| start = 34
|Reduces to 5/3
| title = Harmonics 35 to 45 (26ed5)
|-
}}
|7
{{Harmonics in equal
|1039.5
| steps = 26
|11/6, 20/11
| num = 5
|
| denom = 1
|-
| intervals = integer
|8
| collapsed = 1
|1188.0
| start = 45
|2/1
| title = Harmonics 46 to 56 (26ed5)
|
}}
|}
{{Harmonics in equal
| steps = 26
| num = 5
| denom = 1
| intervals = integer
| collapsed = 1
| start = 56
| title = Harmonics 57 to 68 (26ed5)
| columns = 12
}}

Revision as of 04:53, 22 December 2024

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


Tables of harmonics

Harmonics 2 to 12 (26ed5)
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -21.2 +27.0 -42.3 +0.0 +5.9 -46.7 +43.6 -53.1 -21.2 +28.2 -15.3
Relative (%) -19.8 +25.2 -39.5 +0.0 +5.5 -43.6 +40.7 -49.6 -19.8 +26.3 -14.3
Steps
(reduced) 		11
(11) 		18
(18) 		22
(22) 		26
(0) 		29
(3) 		31
(5) 		34
(8) 		35
(9) 		37
(11) 		39
(13) 		40
(14)
Harmonics 13 to 23 (26ed5)
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) -46.7 +39.3 +27.0 +22.5 +24.7 +32.9 +46.5 -42.3 -19.7 +7.0 +37.2
Relative (%) -43.6 +36.7 +25.2 +21.0 +23.0 +30.7 +43.3 -39.5 -18.3 +6.5 +34.7
Steps
(reduced) 		41
(15) 		43
(17) 		44
(18) 		45
(19) 		46
(20) 		47
(21) 		48
(22) 		48
(22) 		49
(23) 		50
(24) 		51
(25)
Harmonics 24 to 34 (26ed5)
Harmonic 24 25 26 27 28 29 30 31 32 33 34
Error Absolute (¢) -36.5 +0.0 +39.3 -26.1 +18.1 -42.6 +5.9 -50.9 +1.3 -52.0 +3.5
Relative (%) -34.1 +0.0 +36.6 -24.3 +16.9 -39.8 +5.5 -47.5 +1.2 -48.5 +3.3
Steps
(reduced) 		51
(25) 		52
(0) 		53
(1) 		53
(1) 		54
(2) 		54
(2) 		55
(3) 		55
(3) 		56
(4) 		56
(4) 		57
(5)
Harmonics 35 to 45 (26ed5)
Harmonic 35 36 37 38 39 40 41 42 43 44 45
Error Absolute (¢) -46.7 +11.7 -35.7 +25.3 -19.7 +43.6 +0.9 -40.8 +25.6 -14.2 -53.1
Relative (%) -43.6 +10.9 -33.3 +23.6 -18.4 +40.7 +0.8 -38.1 +23.9 -13.2 -49.6
Steps
(reduced) 		57
(5) 		58
(6) 		58
(6) 		59
(7) 		59
(7) 		60
(8) 		60
(8) 		60
(8) 		61
(9) 		61
(9) 		61
(9)
Harmonics 46 to 56 (26ed5)
Harmonic 46 47 48 49 50 51 52 53 54 55 56
Error Absolute (¢) +16.0 -21.2 +49.5 +13.8 -21.2 +51.7 +18.1 -14.9 -47.2 +28.2 -3.0
Relative (%) +14.9 -19.8 +46.2 +12.9 -19.8 +48.3 +16.9 -13.9 -44.1 +26.3 -2.8
Steps
(reduced) 		62
(10) 		62
(10) 		63
(11) 		63
(11) 		63
(11) 		64
(12) 		64
(12) 		64
(12) 		64
(12) 		65
(13) 		65
(13)
Harmonics 57 to 68 (26ed5)
Harmonic 57 58 59 60 61 62 63 64 65 66 67 68
Error Absolute (¢) -33.7 +43.4 +13.8 -15.3 -43.9 +35.1 +7.4 -19.9 -46.7 +34.0 +8.0 -17.7
Relative (%) -31.4 +40.5 +12.9 -14.3 -41.0 +32.7 +6.9 -18.6 -43.6 +31.7 +7.4 -16.5
Steps
(reduced) 		65
(13) 		66
(14) 		66
(14) 		66
(14) 		66
(14) 		67
(15) 		67
(15) 		67
(15) 		67
(15) 		68
(16) 		68
(16) 		68
(16)
Retrieved from "https://en.xen.wiki/index.php?title=User:BudjarnLambeth/Sandbox&oldid=172319"