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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1 August 2026

     09:24 Deletion log FloraC talk contribs deleted page Karma Jinpa Zangpo (No clear relevance to xenharmonic music; appears to be an old userpage or joke page for a user that does not exist)
 m   09:08  1-3-5-9 by 13/9 bihexany diffhist 0 Yourmusic Productions talk contribs (fix copypasting error)
N    09:07  1-3-5-9 by 13/10 bihexany diffhist +1,023 Yourmusic Productions talk contribs (Create Page.)
     08:17 Upload log Yourmusic Productions talk contribs uploaded File:1-3-5-9 by 13-10 bihexany.png (Made with [https://nickvuci.github.io/ScaleCircle ''ScaleCircle''] by Nick Vuci.)
     06:46  Tuning of the Month Club diffhist +81 Morion talk contribs (2026: Added new music.)
     06:43  31edo/Music diffhist +186 Lucius Chiaraviglio talk contribs (Modern renderings: Add Molina's ''Hey Kids'' (2020) – microtonal cover in 31edo by Bryan Deister (2026))
     06:14  Contextual Xenharmonics 2 changes history +1,030 [Zeta Function (2×)]
     
06:14 (cur | prev) +280 Zeta Function talk contribs (Categories: Add interval links and more info) Tag: Visual edit
     
06:11 (cur | prev) +750 Zeta Function talk contribs (Categories: Add a critical concept needed to connect to the rest of the wiki. Others encouraged to help) Tag: Visual edit
     00:10  96/95 diffhist +165 Eliora talk contribs

31 July 2026

     23:45  Pseudovishnuzma diffhist +366 Eliora talk contribs (explain more specifically what the name is for - not just due to structural similarity of 14 5/4s against a tritone, but also the similarity and ease of confusion in decimal notation, hence the prefix "pseudo-") Tag: Visual edit
     21:08  Chair scale 2 changes history +300 [Zeta Function; Fredg999]
     
21:08 (cur | prev) +175 Zeta Function talk contribs (Explanation for why it is bipentatonic) Tag: Visual edit
     
20:59 (cur | prev) +125 Fredg999 talk contribs (Chair scales are bipentatonic, misc. edits)
 m   21:00  Bipentatonic scale diffhist +38 Fredg999 talk contribs (See also chair scale, misc. edits)
 m   20:51  User:DotuXil diffhist 0 Fredg999 talk contribs (Update link)
 m   20:51  The Chair of Mr. Bob diffhist −1 Fredg999 talk contribs (Update redirect) Tag: Redirect target changed
 m   20:51  Tuning of the Month Club diffhist 0 Fredg999 talk contribs (Update link)
     20:51 Move log Fredg999 talk contribs moved page Chair scales to Chair scale without leaving a redirect (WP:PLURAL)
 m   20:51  22edo/Vector's approach diffhist −13 Fredg999 talk contribs (Update link)
     19:20  72edo diffhist +192 Lucius Chiaraviglio talk contribs (Music: Add Tolgahan Çoğulu's ''Ne ağlarsın benim zülfü siyahım'' (2026) – transcription by Stephen Weigel)
     19:08  User:Fredg999/Dish Rag diffhist +128 Fredg999 talk contribs (Add external links)
 m   18:30  User:Lucius Chiaraviglio/Keyboard Layout Lab diffhist +123 Lucius Chiaraviglio talk contribs (46edo (demonstrated to work): Add more specific date to demo video because now another ''46edo improv'' is out)
 m   18:27  Lumatone mapping for 46edo diffhist +6 Lucius Chiaraviglio talk contribs (Bison (Porwell + Sensi): Add more specific date to demo video because another ''46edo improv'' is coming)
     18:26  46edo diffhist +83 Lucius Chiaraviglio talk contribs (21st century: Add Bryan Deister's ''46edo improv''] (202607-30) and add more specific date to the previous one)
     17:40  19edo/Music diffhist +226 Lucius Chiaraviglio talk contribs (21st century: Add Chris Vaisvil's ''Would You Call me a Traitor?'' (2026))
 m   13:16  S-expression diffhist −1 FloraC talk contribs (Table of triangle-particulars: corrections)
     12:55  Triangular number diffhist +201 FloraC talk contribs (Rework)
     12:31  4125/4096 diffhist +143 FloraC talk contribs (Sectioning; + categories)
N    10:23  User:PrySigneToFexia/PSTF's solfeges for higher EDOs diffhist +3,244 PrySigneToFexia talk contribs (Created page with "Still in progress. It's a collection. == 46edo == === Shidinn-style === {| class="wikitable" |+ ? |- ! Tone !! Solfege |- | D || <span style='font-family:XEGOEALL, Segoe UI'>Ha</span> |- | ^D || <span style='font-family:XEGOEALL, Segoe UI'>a</span> |- | ^^D || <span style='font-family:XEGOEALL, Segoe UI'>bo</span> |- | vvD# || <span style='font-family:XEGOEALL, Segoe UI'>BA</span> |- | vD# || <span style='font-family:XEGOEALL, Segoe UI'>cA</span> |- | D# || <span style='...")
N    08:02  1-3-5-9 by 25/18 bihexany diffhist +1,350 Yourmusic Productions talk contribs (Create Page.)
     07:19 Upload log Yourmusic Productions talk contribs uploaded File:1-3-5-9 by 25-18 bihexany.png (Made with [https://nickvuci.github.io/ScaleCircle ''ScaleCircle''] by Nick Vuci.)
     03:24  665edo diffhist +4 Eliora talk contribs (Subsets and supersets: "undecuples" wtf, what a word, lets keep it simple)
     03:16  42edo diffhist +162 Lucius Chiaraviglio talk contribs (Theory: Subsets and supersets: Add 84edo as superset.)
     02:03 Deletion log Fredg999 talk contribs deleted page Imogene Newland (content was: "{{Delete|This person does not appear to have made microtonal music or worked on microtonal theory beyond tangential associations on Google.}} '''Imogene Newland''' is a researcher and practitioner whose work intersects gesture-based study within the fields of music performance and choreography. Originally trained as a pianist specializing in contemporary repertoire, Imogene became interested in the overlap between postmodern dance practices and gestural analysis and classifica...")

30 July 2026

     23:30  518edo diffhist +15 Eliora talk contribs (oops, I meant 4459/4455, not 4496/4495. Thats the right one) Tag: Visual edit
     22:57  4125/4096 3 changes history +99 [Zeta Function (3×)]
     
22:57 (cur | prev) +13 Zeta Function talk contribs (Add name to infobox) Tag: Visual edit: Switched
     
19:49 (cur | prev) +8 Zeta Function talk contribs (Add other contributor) Tag: Visual edit
     
19:48 (cur | prev) +78 Zeta Function talk contribs (Add name based on discussion in XA Discord (credit to Xencodium)) Tag: Visual edit
     20:27  User:Squib/Todo 2 changes history +722 [Squib (2×)]
 m   
20:27 (cur | prev) +155 Squib talk contribs
     
20:12 (cur | prev) +567 Squib talk contribs
     19:48  224/135 diffhist +53 FloraC talk contribs (Update thanks to the establishment of the aberschisma)
     19:48  135/112 diffhist +53 FloraC talk contribs (Update thanks to the establishment of the aberschisma)
     19:32  45/28 diffhist +447 FloraC talk contribs (Rework to reflect the progress thanks to the establishment of the aberschisma)
     19:32  56/45 diffhist +121 FloraC talk contribs (Rework to reflect the progress thanks to the establishment of the aberschisma)
     19:17  9/4 diffhist +17 FloraC talk contribs (Fix the name and math expression)
     19:14 Deletion log FloraC talk contribs deleted page Half-cubic limit (Author request)
 m   19:10  Jerome diffhist 0 FloraC talk contribs (Fix category)
     18:58 Move log Zeta Function talk contribs moved page Half-cubic limit to User:Zeta Function/Half-cubic limit (Idea that needs some work)
     18:52  Half-cubic limit 2 changes history +18 [Zeta Function; Fredg999]
 m   
18:52 (cur | prev) +18 Fredg999 talk contribs (Idiosyncratic term)
     
18:43 (cur | prev) 0 Zeta Function talk contribs (Fix error) Tag: Visual edit