User:Overthink/Sandbox

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Testing

Scratchwork

The following tables show how 15-odd-limit intervals are represented in 5edo. Prime harmonics are in bold; inconsistent intervals are in italics.

15-odd-limit intervals in 5edo (direct approximation, even if inconsistent)
Interval and complement Error (abs, ¢) Error (rel, %)
1/1, 2/1 0.000 0.0
15/13, 26/15 7.741 3.2
7/4, 8/7 8.826 3.7
3/2, 4/3 18.045 7.5
13/10, 20/13 25.786 10.7
7/6, 12/7 26.871 11.2
9/8, 16/9 36.090 15.0
9/7, 14/9 44.916 18.7
13/11, 22/13 49.210 20.5
15/11, 22/15 56.951 23.7
9/5, 10/9 57.596 24.0
11/7, 14/11 62.492 26.0
11/8, 16/11 71.318 29.7
11/10, 20/11 74.996 31.2
5/3, 6/5 75.641 31.5
13/9, 18/13 83.382 34.7
11/6, 12/11 89.363 37.2
5/4, 8/5 93.686 39.0
13/12, 24/13 101.427 42.3
7/5, 10/7 102.512 42.7
11/9, 18/11 107.408 44.8
13/7, 14/13 111.702 46.5
15/8, 16/15 111.731 46.6
15/14, 28/15 119.443 49.8
13/8, 16/13 119.472 49.8
15-odd-limit intervals in 5edo (patent val mapping)
Interval and complement Error (abs, ¢) Error (rel, %)
1/1, 2/1 0.000 0.0
15/13, 26/15 7.741 3.2
7/4, 8/7 8.826 3.7
3/2, 4/3 18.045 7.5
13/10, 20/13 25.786 10.7
7/6, 12/7 26.871 11.2
9/8, 16/9 36.090 15.0
9/7, 14/9 44.916 18.7
9/5, 10/9 57.596 24.0
11/7, 14/11 62.492 26.0
11/8, 16/11 71.318 29.7
5/3, 6/5 75.641 31.5
13/9, 18/13 83.382 34.7
11/6, 12/11 89.363 37.2
5/4, 8/5 93.686 39.0
13/12, 24/13 101.427 42.3
7/5, 10/7 102.512 42.7
11/9, 18/11 107.408 44.8
15/8, 16/15 111.731 46.6
13/8, 16/13 119.472 49.8
15/14, 28/15 120.557 50.2
13/7, 14/13 128.298 53.5
11/10, 20/11 165.004 68.8
15/11, 22/15 183.049 76.3
13/11, 22/13 190.790 79.5

Whatever

List of abbreviations:
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This edit created a new page (also see list of new pages)
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This is a minor edit
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15 November 2026

 m   13:16  311edo diffhist +1,201 Godtone talk contribs (→Commas: reinstate 41-limit commas)
     10:49  Septiennealimmic clan 6 changes hist +5,334 [Godtone (2×); FloraC (4×)]
 m   
10:49 (cur | prev) +50 Godtone talk contribs (→Septiennealic (2.3.7.13): note that they arent strong extensions)
 m   
10:46 (cur | prev) +331 Godtone talk contribs (→Septiennealic (2.3.7.13): note derivational structure)
     
09:24 (cur | prev) +337 FloraC talk contribs (→Septiennealimmal)
     
09:04 (cur | prev) +1,312 FloraC talk contribs (Move enneaportent here)
     
08:54 (cur | prev) +3,336 FloraC talk contribs (Move cobalt here)
 m   
08:29 (cur | prev) −32 FloraC talk contribs (Oops)
 m   09:45  Novemkleismic diffhist +35 FloraC talk contribs (+ category)
 m   09:43  Ennealimmal diffhist +35 FloraC talk contribs (+ category)
 m   09:16  Enneaportent 2 changes hist +2 [FloraC (2×)]
 m   
09:16 (cur | prev) +2 FloraC talk contribs (Update) Tag: Redirect target changed
 m   
09:16 (cur | prev) 0 FloraC talk contribs (Update)
 m   09:16  Cobalt 2 changes hist 0 [FloraC (2×)]
 m   
09:16 (cur | prev) 0 FloraC talk contribs
 m   
08:55 (cur | prev) 0 FloraC talk contribs (Update) Tag: Redirect target changed
     09:05  Marvel temperaments diffhist −1,281 FloraC talk contribs (- enneaportent (covered in septiennealimmic clan))
 m   08:58  No-fives subgroup temperaments diffhist +97 FloraC talk contribs (→Temperaments with a 2.3.7 gene: +1)
     08:54  Starling temperaments diffhist −3,196 FloraC talk contribs (- cobalt (covered in septiennealimmic clan))
     08:46 Deletion log FloraC talk contribs deleted page Tritrizo clan (Unused redirect)
     08:41  Septimal ennealimma 3 changes hist −613 [FloraC (3×)]
     
08:41 (cur | prev) −46 FloraC talk contribs (- "no-5 ennealimma" (the ennealimma is a 5-limit comma so it makes no sense))
     
08:37 (cur | prev) −529 FloraC talk contribs (- temp data (moved to misc. temps))
     
08:14 (cur | prev) −38 FloraC talk contribs (Septiennealimmal -> septiennealimmic to make way for the no-5 temp)
N    08:39  Category:Septiennealimmic diffhist +52 FloraC talk contribs (Created page with "{{Cat main}} Category:Categories by temperament")
N    08:38  Septiennealimmic diffhist +185 FloraC talk contribs (Birth) Tag: New redirect
     08:36  Miscellaneous 7-limit temperaments diffhist +752 FloraC talk contribs (Move septienenalimmic here)
 m   08:26  The Archipelago diffhist 0 FloraC talk contribs (Up)
 m   08:26  The Nexus diffhist 0 FloraC talk contribs (Up)
 m   08:24  Ennealim 2 changes hist +27 [FloraC (2×)]
 m   
08:24 (cur | prev) +1 FloraC talk contribs (Up) Tag: Redirect target changed
 m   
08:24 (cur | prev) +26 FloraC talk contribs (Up) Tag: Redirect target changed
     08:18  (Move log) [FloraC (2×)]
     
08:18 FloraC talk contribs moved page Category:Septiennealimmal clan to Category:Septiennealimmic clan without leaving a redirect
     
08:15 FloraC talk contribs moved page Septiennealimmal clan to Septiennealimmic clan (To make way for the no-5 temp)
     08:14  Septiennealimmal clan diffhist +53 FloraC talk contribs (Septiennealimmal -> septiennealimmic to make way for the no-5 temp; re-organize page and prepare for move)
     07:58  58edo diffhist +48 FloraC talk contribs (→Regular temperament properties: + quadrasruta)
     07:56  68edo 3 changes hist +731 [FloraC (3×)]
 m   
07:56 (cur | prev) +65 FloraC talk contribs (→Regular temperament properties: + neptune)
     
07:54 (cur | prev) +176 FloraC talk contribs (→Theory: subsectioning; + many links)
     
07:48 (cur | prev) +490 FloraC talk contribs (→Regular temperament properties: complete table)
     07:46  34th-octave temperaments 2 changes hist +184 [FloraC (2×)]
     
07:46 (cur | prev) +48 FloraC talk contribs (+ minimal generators)
     
07:29 (cur | prev) +136 FloraC talk contribs (Switch to Sintel's badness, WE & CWE tunings)
     06:56  Xenharmonic Wiki:Sandbox 4 changes hist 0 [Lucius Chiaraviglio (4×)]
     
06:56 (cur | prev) −91,791 Lucius Chiaraviglio talk contribs (Undid revision 242634 by Lucius Chiaraviglio (talk) Found that big edit can go through even after timeout (524) error (but elsewhere found that this can also result in data corruption — notw test big Undo) Tags: Replaced Undo
     
06:37 (cur | prev) +91,791 Lucius Chiaraviglio talk contribs (→TEST BIG EDIT: new section)
     
00:48 (cur | prev) −72 Lucius Chiaraviglio talk contribs (Undid revision 242623 by Lucius Chiaraviglio (talk)Testing undo) Tag: Undo
     
00:37 (cur | prev) +72 Lucius Chiaraviglio talk contribs (→Testing system: new section)
     06:30  Lumatone mapping for 72edo diffhist +550 Lucius Chiaraviglio talk contribs (/* Flesh out description a bit and split out Antidiatonic — looks like a demo video for the latter may be on the way.)
     05:32  72edo diffhist +84 Lucius Chiaraviglio talk contribs (→Music: Add Bryan Deister's ''72edo improv'' (2026-11-14); add more specific date to the previous one)
     02:18  Gallery of combination product sets 3 changes hist +163 [BudjarnLambeth (3×)]
     
02:18 (cur | prev) +54 BudjarnLambeth talk contribs (→Generated by 17-odd-limit elements: add new)
     
02:17 (cur | prev) +33 BudjarnLambeth talk contribs (→1.n: add new)
     
02:16 (cur | prev) +76 BudjarnLambeth talk contribs (→1.n: add new)
 m   02:14  User:Tyler Henthorn diffhist −4 Tyler Henthorn talk contribs (→(top)) Tags: Mobile edit Mobile web edit
     02:11  Xenharmonic Wiki talk:Bugs diffhist +237 Lucius Chiaraviglio talk contribs (→Errors when saving edits: That seems to be fixed, but now getting 524 (timeout) errors)
     00:40  User:Lucius Chiaraviglio/Keyboard Layout Lab/Various other Lumatone mappings 3 changes hist 0 [Lucius Chiaraviglio (3×)]
     
00:40 (cur | prev) +89,926 Lucius Chiaraviglio talk contribs (Undid revision 242624 by Lucius Chiaraviglio (talk) last edit failed due to system timeoutt) Tag: Undo
     
00:37 (cur | prev) −89,926 Lucius Chiaraviglio talk contribs (→Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings (temporarily moved up for visibility): Add demo video for 51edo rearranged version 1; fix section heading for rearranged version 2; safety save because the system is unstable) Tag: Replaced
     
00:32 (cur | prev) 0 Lucius Chiaraviglio talk contribs (→Tritikleismic-related 2.3.25.7 subgroup temperament Lumatone mappings (temporarily moved up for visibility): Add demo video for 51edo rearranged version 1; fix section heading for rearranged version 2; safety save because the system is unstable.)
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