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

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31 July 2026

diffhist m S-expression 13:16 −1 FloraC talk contribs (→Table of triangle-particulars: corrections)
diffhist Triangular number 12:55 +201 FloraC talk contribs (Rework)
diffhist 4125/4096 12:31 +143 FloraC talk contribs (Sectioning; + categories)
diffhist N User:PrySigneToFexia/PSTF's solfeges for higher EDOs 10:23 +3,244 PrySigneToFexia talk contribs (Created page with "Still in progress. It's a collection. == 46edo == === Shidinn-style === {| class="wikitable" |+ ? |- ! Tone !! Solfege |- | D || Ha |- | ^D || a |- | ^^D || bo |- | vvD# || BA |- | vD# || cA |- | D# || <span style='...")
diffhist N 1-3-5-9 by 25/18 bihexany 08:02 +1,350 Yourmusic Productions talk contribs (Create Page.)
Upload log 07:19 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.)
diffhist 665edo 03:24 +4 Eliora talk contribs (→Subsets and supersets: "undecuples" wtf, what a word, lets keep it simple)
diffhist 42edo 03:16 +162 Lucius Chiaraviglio talk contribs (→Theory: →Subsets and supersets: Add 84edo as superset.)
Deletion log 02:03 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

diffhist 518edo 23:30 +15 Eliora talk contribs (oops, I meant 4459/4455, not 4496/4495. Thats the right one) Tag: Visual edit
diffhist 4125/4096 22:57 +13 Zeta Function talk contribs (Add name to infobox) Tag: Visual edit: Switched
diffhist m User:Squib/Todo 20:27 +155 Squib talk contribs
diffhist User:Squib/Todo 20:12 +567 Squib talk contribs
diffhist 4125/4096 19:49 +8 Zeta Function talk contribs (Add other contributor) Tag: Visual edit
diffhist 4125/4096 19:48 +78 Zeta Function talk contribs (Add name based on discussion in XA Discord (credit to Xencodium)) Tag: Visual edit
diffhist 224/135 19:48 +53 FloraC talk contribs (Update thanks to the establishment of the aberschisma)
diffhist 135/112 19:48 +53 FloraC talk contribs (Update thanks to the establishment of the aberschisma)
diffhist 45/28 19:32 +447 FloraC talk contribs (Rework to reflect the progress thanks to the establishment of the aberschisma)
diffhist 56/45 19:32 +121 FloraC talk contribs (Rework to reflect the progress thanks to the establishment of the aberschisma)
diffhist 9/4 19:17 +17 FloraC talk contribs (Fix the name and math expression)
Deletion log 19:14 FloraC talk contribs deleted page Half-cubic limit (Author request)
diffhist m Jerome 19:10 0 FloraC talk contribs (Fix category)
Move log 18:58 Zeta Function talk contribs moved page Half-cubic limit to User:Zeta Function/Half-cubic limit (Idea that needs some work)
diffhist m Half-cubic limit 18:52 +18 Fredg999 talk contribs (Idiosyncratic term)
diffhist Half-cubic limit 18:43 0 Zeta Function talk contribs (Fix error) Tag: Visual edit
diffhist Half-cubic limit 18:43 −13 Zeta Function talk contribs (→Generalization: Fix formatting)
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diffhist Half-cubic limit 18:27 −194 Zeta Function talk contribs (Factually incorrect sentence) Tag: Visual edit
diffhist Half-cubic limit 18:25 −1 Zeta Function talk contribs (Fix categorization) Tag: Visual edit: Switched
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diffhist m 9/4 17:02 +52 DesertFreeze talk contribs Tag: Visual edit
diffhist 28/9 16:59 0 DesertFreeze talk contribs (fixed color naming order) Tag: Visual edit
diffhist 28/9 16:58 +82 DesertFreeze talk contribs Tag: Visual edit
diffhist N 24/7 16:57 +305 DesertFreeze talk contribs (Created page with "{{Infobox interval|Name=Septimal (super)major thirteenth|Color name=r13, ru 13th}} '''24/7''', the ''septimal (super)major thirteenth,'' is an interval which lies in the 7-odd-limit. It is a septimal supermajor sixth plus an octave, and is the ratio between the 24th and 7th harmonics. {{Stub}}") Tag: Visual edit
diffhist m 28/9 16:52 +46 DesertFreeze talk contribs (Why did it delete my text) Tag: Visual edit
diffhist N 28/9 16:52 +227 DesertFreeze talk contribs (Created page with "{{Infobox interval|Name=septimal (sub)minor thirteenth|Color name=zo 13th, z13}} '''28/9''', the ''septimal (sub)minor thirteenth''. Lies within the 9-odd-limit; is {{Stub}} the ratio between the 28th and 9th harmonics.") Tag: Visual edit
diffhist 16/7 16:43 +119 DesertFreeze talk contribs Tag: Visual edit
diffhist 16/7 16:40 +9 DesertFreeze talk contribs Tag: Visual edit
diffhist User:DesertFreeze 16:16 +3,020 DesertFreeze talk contribs Tag: Visual edit
diffhist Subgroup temperaments 15:48 +35 Overthink talk contribs (→Supramin: add note)
diffhist Intervals of diatonic 13:44 +114 MisterShafXen talk contribs Tags: Visual edit Mobile edit Mobile web edit Advanced mobile edit
diffhist N User:MisterShafXen/182L 31s 13:28 +309 MisterShafXen talk contribs (Created page with "{{MOS intro|Scale Signature=182L 31s}} {{Infobox MOS|Scale Signature=182L 31s}} == Scale properties == {{TAMNAMS use}}{{MOS intervals|Scale Signature=182L 31s}}{{MOS genchain|Scale Signature=182L 31s}}{{MOS modes|Scale Signature=182L 31s}} == Scale tree == {{MOS tuning spectrum|Scale Signature=182L 31s}}") Tags: Visual edit Mobile edit Mobile web edit Advanced mobile edit
diffhist 3645/3584 11:00 +220 FloraC talk contribs (+ factorizations & re-organize)
diffhist Miscellaneous 7-limit temperaments 10:53 +655 FloraC talk contribs (+ intro to wizmic & others (hopefully to expand later))
diffhist N Wizmic 09:47 +165 FloraC talk contribs (Redirected page to Miscellaneous 7-limit temperaments#Wizmic) Tag: New redirect
diffhist m 1-3-5-9 hexany 09:46 +290 Yourmusic Productions talk contribs (Add links to a few more bihexanies that are on my to-do list.)
diffhist Miscellaneous 7-limit temperaments 09:46 +620 FloraC talk contribs (+ wizmic)
diffhist m 518edo 09:39 +29 FloraC talk contribs (Correct math (typo?). Misc. cleanup)

User:Overthink/Sandbox

Testing

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31 July 2026

30 July 2026