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= Scratchwork =
= Scratchwork =
{{Q-odd-limit intervals|5}}
{{Q-odd-limit intervals|5}}
= Whatever =
{{Special:RecentChanges}}

Revision as of 11:50, 27 December 2025

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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14 November 2026

     21:35  311edo diffhist +1,334 Eufalesio talk contribs (WIP commas, TBA deleted commas) Tag: Visual edit
     20:34  Talk:Keyboard diffhist +1,036 Lucius Chiaraviglio talk contribs (→Miso modular isomorphic keyboard: new section)
     18:40  13/7 diffhist +511 DesertFreeze talk contribs (Added info) Tag: Visual edit
     17:55  13/10 diffhist +25 DesertFreeze talk contribs (Added third-fourth naming) Tag: Visual edit
     17:12  (User creation log) [Fredg999 (2×)]
     
17:12 User account SomeDee talk contribs was created by Fredg999 talk contribs and password was sent by email
     
17:11 User account Avi talk contribs was created by Fredg999 talk contribs and password was sent by email
     14:10  Catalog of temperaments by wedgie diffhist +279 FloraC talk contribs (+++)
     13:52  31st-octave temperaments 7 changes hist −3,059 [FloraC (7×)]
 m   
13:52 (cur | prev) +34 FloraC talk contribs (+ links)
     
13:42 (cur | prev) −1,030 FloraC talk contribs (- 31-commatic / 31-5-commatic)
     
13:26 (cur | prev) −5,114 FloraC talk contribs (- birds, - euphrosynean (covered in hemimean clan and ragismic microtemperaments))
     
12:59 (cur | prev) +816 FloraC talk contribs (Switch to Sintel's badness, WE & CWE tunings (4/4))
     
12:37 (cur | prev) +565 FloraC talk contribs (Switch to Sintel's badness, WE & CWE tunings (3/))
     
10:35 (cur | prev) +568 FloraC talk contribs (Complete data; switch to Sintel's badness, WE & CWE tunings (2/))
     
10:17 (cur | prev) +1,102 FloraC talk contribs (Cleanup; switch to Sintel's badness, WE & CWE tunings (1/))
 m   13:49  2573edo diffhist −20 FloraC talk contribs (Update)
N    13:49  Euphrosynean diffhist +159 FloraC talk contribs (Redirected page to Ragismic microtemperaments#Euphrosynean) Tag: New redirect
     13:47  Hemimean clan 2 changes hist +2,619 [FloraC (2×)]
 m   
13:47 (cur | prev) +94 FloraC talk contribs (→Birds: + link to 5-limit)
     
13:17 (cur | prev) +2,525 FloraC talk contribs (Move birds here)
     13:45  Syntonic–31 equivalence continuum 2 changes hist +1,303 [FloraC (2×)]
     
13:45 (cur | prev) +223 FloraC talk contribs
     
13:35 (cur | prev) +1,080 FloraC talk contribs (Move 31-commatic and 5-limit birds (31-5-commatic) here)
     13:25  Ragismic microtemperaments diffhist +2,701 FloraC talk contribs (Move euphrosynean here)
 m   13:22  2.5.7 subgroup diffhist −29 FloraC talk contribs (Update)
 m   13:19  Undecimal birds node diffhist −13 FloraC talk contribs (Changed redirect target from 31st-octave temperaments#11-limit to Hemimean clan#Birds) Tag: Redirect target changed
 m   13:19  Birds node diffhist −10 FloraC talk contribs (Changed redirect target from 31st-octave temperaments#Birds to Hemimean clan#Birds) Tag: Redirect target changed
 m   13:18  Birds diffhist +10 FloraC talk contribs (Update) Tag: Redirect target changed
N    09:43  1-11-13-17 hexany diffhist +742 Yourmusic Productions talk contribs (Create Page.)
     09:38  No-fives subgroup temperaments 5 changes hist +1,350 [FloraC (5×)]
 m   
09:38 (cur | prev) −9 FloraC talk contribs (→Nimbus: monzify the ultralong comma)
     
09:37 (cur | prev) +66 FloraC talk contribs (→Nimbus: note relation to sedecic)
     
09:30 (cur | prev) +2,258 FloraC talk contribs (Move nimbus here)
 m   
09:17 (cur | prev) +46 FloraC talk contribs (→Hemif: +1 missing extension)
     
08:52 (cur | prev) −1,011 FloraC talk contribs (- archy extensions (covered in archytas clan))
     09:32  16th-octave temperaments 3 changes hist −2,205 [FloraC (3×)]
     
09:32 (cur | prev) 0 FloraC talk contribs (Move ntiscifer to the top as it will permanently be here (if deemed worth documenting), while sulfur is temporary)
     
09:30 (cur | prev) −2,159 FloraC talk contribs (- nimbus (covered in no-5's))
 m   
09:28 (cur | prev) −46 FloraC talk contribs (→Nimbus: style and fix mapping)
     09:32 Upload log Yourmusic Productions talk contribs uploaded File:1-11-13-17 hexany.png (Made with [https://nickvuci.github.io/ScaleCircle ''ScaleCircle''] by Nick Vuci.)
     09:13  Miscellaneous 7-limit temperaments diffhist +546 FloraC talk contribs (→Tolerant: + intro)
     09:00  12th-octave temperaments diffhist +6 CompactStar talk contribs (I doubt atomic was "hugely" known)
     08:57  Archytas clan 2 changes hist +1,351 [FloraC (2×)]
 m   
08:57 (cur | prev) 0 FloraC talk contribs (→Archy: fixes)
     
08:52 (cur | prev) +1,351 FloraC talk contribs (+ preflutterpyth to complete the move)
     08:55  Flutterpyth diffhist −16 FloraC talk contribs (Changed redirect target from No-fives subgroup temperaments#Flutterpyth to Archytas clan#Flutterpyth) Tag: Redirect target changed
     08:45  User:CompactStar/sandbox diffhist +14 CompactStar talk contribs
     08:43  Aldebaran diffhist +41 CompactStar talk contribs
     08:35  47edo diffhist +97 CompactStar talk contribs (→Scales)
 m   08:09  66th-octave temperaments diffhist +145 FloraC talk contribs (+ todo notice)
     08:06  73edo diffhist +182 Lucius Chiaraviglio talk contribs (→Music: Add ABBA's ''Dancing Queen'' (1976) — microtonal cover by Bryan Deister (2026) (had to add Modern renderings section for this))
     06:29  Lumatone mapping for 61edo diffhist +382 Lucius Chiaraviglio talk contribs (→Diatonic: Add demo video for sharp fifth version)
     05:46  61edo diffhist +357 Lucius Chiaraviglio talk contribs (→Music: Add Sam Haft and Andrew Underberg's ''Wilting'' via ''Dandy's World'' (2025) — microtonal cover by Bryan Deister (2026) (had to add Modern renderings section for this))

13 November 2026

N    21:39  Dysprosium diffhist +49 Eliora talk contribs (Redirected page to 66th-octave temperaments#Dysprosium) Tag: New redirect
     21:39  1650edo diffhist +262 Eliora talk contribs (expand clarify)
     20:58  20th-octave temperaments diffhist +24 Eliora talk contribs (clarify)