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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21 June 2026

      02:42  Diaschismic 6 changes history +2,492 [Overthink (6×)]
 m   
02:42 (cur | prev) −4 Overthink talk contribs (link this way)
     
02:41 (cur | prev) +176 Overthink talk contribs (→As a detemperament of 12et: add more info)
     
02:35 (cur | prev) +2,103 Overthink talk contribs (→Chords and harmony: expand)
     
01:44 (cur | prev) +264 Overthink talk contribs (→As a detemperament of 12et: add info)
     
01:43 (cur | prev) −93 Overthink talk contribs (explain this differently; - duplicate info)
     
01:35 (cur | prev) +46 Overthink talk contribs (explain some stuff differently)
 m   02:40  User:Godtone diffhist −1 Godtone talk contribs (→My Python 3 code: clarification)
     00:25  Xenharmonic Wiki:Deleted temperament entries 2 changes history +368 [Overthink (2×)]
     
00:25 (cur | prev) +311 Overthink talk contribs (add these)
     
00:22 (cur | prev) +57 Overthink talk contribs (complete mappings based on revision history)

20 June 2026

      22:00  Xenharmonic Wiki:Deleted temperament entries 4 changes history +1,013 [Hotcrystal0; FloraC (3×)]
     
22:00 (cur | prev) +198 Hotcrystal0 talk contribs (add back ET joins on another column)
     
11:40 (cur | prev) +488 FloraC talk contribs (Change ET join to mapping for uniqueness)
     
11:25 (cur | prev) +128 FloraC talk contribs (+ more general reasons)
     
11:07 (cur | prev) +199 FloraC talk contribs
     21:05  Pentave Reduced Subharmonics diffhist −10,803 K2o5n6stz talk contribs (Improved the wikitext readability while retaining the information within the table)
     18:03  User:Godtone 2 changes history +894 [Godtone (2×)]
 m   
18:03 (cur | prev) +101 Godtone talk contribs (→My Python 3 code: explain the mediant_complexity)
     
17:07 (cur | prev) +793 Godtone talk contribs (→My Python 3 code: there is only finitely many EDOs which provide some simplification of a set of intervals as contrasted to all-distinct)
 m   16:16  Xenharmonic Wiki:Notability guidelines diffhist +52 Fredg999 talk contribs (→See also: Add link to Deleted temperament entries)
     16:14  Talk:Subgroup temperaments 2 changes history +729 [Godtone; FloraC]
     
16:14 (cur | prev) +428 Godtone talk contribs (→Organizing fractional-subgroup temperaments: reply)
     
15:48 (cur | prev) +301 FloraC talk contribs
 m   16:00  Gallery of just intervals diffhist 0 HilariousHilarion talk contribs (9/5 was incorrectly classified as g5 instead of g7) Tag: Visual edit
      15:41  Catalog of temperaments by wedgie 2 changes history 0 [FloraC (2×)]
     
15:41 (cur | prev) +53 FloraC talk contribs (+ trivish)
 m   
11:44 (cur | prev) −53 FloraC talk contribs (Update)
     15:38  Landscape microtemperaments diffhist +84 FloraC talk contribs (+ trivish)
     15:32  User:FloraC/Temperament name proposal diffhist +32 FloraC talk contribs
N    15:29  Trivish diffhist +214 FloraC talk contribs (Redirected page to Vishnu family#Trivish) Tag: New redirect
      15:28  894edo 2 changes history +28 [FloraC (2×)]
     
15:28 (cur | prev) +103 FloraC talk contribs (Add trivish to the theory section)
     
15:25 (cur | prev) −75 FloraC talk contribs (→Rank-2 temperaments: + trivish. Also convert the table to minimal form since we're already reducing it to the first semi-octave)
     15:24  624edo 2 changes history −285 [FloraC (2×)]
 m   
15:24 (cur | prev) −24 FloraC talk contribs (→Rank-2 temperaments)
     
15:24 (cur | prev) −261 FloraC talk contribs (→Rank-2 temperaments: + trivish. Also convert the table to minimal form since we're already reducing it to the first semi-octave)
     15:21  354edo diffhist −288 FloraC talk contribs (→Regular temperament properties: + trivish. Also convert the table of rank-2 temps to minimal form since we're already reducing it to the first semi-octave)
     15:15  84edo 2 changes history −248 [FloraC (2×)]
 m   
15:15 (cur | prev) −121 FloraC talk contribs (→Rank-2 temperaments)
     
15:15 (cur | prev) −127 FloraC talk contribs (→Rank-2 temperaments: + trivish. Also convert the table to minimal form since we're already reducing it to the first semi-octave)
     15:12  270edo diffhist −677 FloraC talk contribs (→Rank-2 temperaments: + trivish. Also convert the table to minimal form since we're already reducing it to the first semi-octave)
     14:58  Vishnu family diffhist +2,312 FloraC talk contribs (+ trivish (84 & 270). Unify the ET joins for quarvish and decavish)
 m   13:56  Alpharabian tuning diffhist 0 K2o5n6stz talk contribs (Edited typo: 13 is supposed to be 11)
 m   12:58  Vishnuzmic node diffhist −3 FloraC talk contribs (Changed redirect target from Vishnuzmic family#Vishnu to Vishnu family#Vishnu) Tag: Redirect target changed
      12:57  (Deletion log) [FloraC (4×)]
     
12:57 FloraC talk contribs deleted page Septimal vishnu node (Unused redirect)
     
12:29 FloraC talk contribs deleted page Quintapole (Deletion followup)
     
10:17 FloraC talk contribs deleted page Dog (Deletion followup)
     
10:17 FloraC talk contribs deleted page Oviminor (Deletion followup)
     12:53  Minortone family diffhist −78 FloraC talk contribs (Hemidomain -> semidomain; 13-limit ore -> orefield (see talk))
 m   12:32  1612edo diffhist −31 FloraC talk contribs (- deleted name)
 m   12:31  1400edo diffhist −74 FloraC talk contribs (→Regular temperament properties: - deleted name)
 m   11:41  Marvel temperaments diffhist −96 FloraC talk contribs (Update)
     11:00 Move log FloraC talk contribs moved page Deleted temperaments to Xenharmonic Wiki:Deleted temperament entries (This is mainly a matter of Wiki management)
 m   10:16  1619edo diffhist −50 FloraC talk contribs (→Regular temperament properties: - deleted name)
 m   10:07  Counterquectisma diffhist −25 FloraC talk contribs
 m   10:05  Counterquectismic diffhist +11 FloraC talk contribs (Changed redirect target from Very high accuracy temperaments#Counterquectismic to Counterquectisma#Temperaments) Tag: Redirect target changed
     10:02 User creation log User account HilariousHilarion talk contribs was created by FloraC talk contribs and password was sent by email
 m   10:01  Quectismic diffhist +82 FloraC talk contribs (Changed redirect target from Deleted temperaments to Quectisma#Temperaments) Tag: Redirect target changed
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