User:Overthink/Sandbox
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.
| 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 |
| 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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20 June 2026
- diffhist m User:Godtone 18:03 +101 Godtone talk contribs (→My Python 3 code: explain the mediant_complexity)
- diffhist User:Godtone 17:07 +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)
- diffhist m Xenharmonic Wiki:Notability guidelines 16:16 +52 Fredg999 talk contribs (→See also: Add link to Deleted temperament entries)
- diffhist Talk:Subgroup temperaments 16:14 +428 Godtone talk contribs (→Organizing fractional-subgroup temperaments: reply)
- diffhist m Gallery of just intervals 16:00 0 HilariousHilarion talk contribs (9/5 was incorrectly classified as g5 instead of g7) Tag: Visual edit
- diffhist Talk:Subgroup temperaments 15:48 +301 FloraC talk contribs
- diffhist Catalog of temperaments by wedgie 15:41 +53 FloraC talk contribs (+ trivish)
- diffhist Landscape microtemperaments 15:38 +84 FloraC talk contribs (+ trivish)
- diffhist User:FloraC/Temperament name proposal 15:32 +32 FloraC talk contribs
- diffhist N Trivish 15:29 +214 FloraC talk contribs (Redirected page to Vishnu family#Trivish) Tag: New redirect
- diffhist 894edo 15:28 +103 FloraC talk contribs (Add trivish to the theory section)
- diffhist 894edo 15:25 −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)
- diffhist m 624edo 15:24 −24 FloraC talk contribs (→Rank-2 temperaments)
- diffhist 624edo 15:24 −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)
- diffhist 354edo 15:21 −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)
- diffhist m 84edo 15:15 −121 FloraC talk contribs (→Rank-2 temperaments)
- diffhist 84edo 15:15 −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)
- diffhist 270edo 15:12 −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)
- diffhist Vishnu family 14:58 +2,312 FloraC talk contribs (+ trivish (84 & 270). Unify the ET joins for quarvish and decavish)
- diffhist m Alpharabian tuning 13:56 0 K2o5n6stz talk contribs (Edited typo: 13 is supposed to be 11)
- diffhist m Vishnuzmic node 12:58 −3 FloraC talk contribs (Changed redirect target from Vishnuzmic family#Vishnu to Vishnu family#Vishnu) Tag: Redirect target changed
- Deletion log 12:57 FloraC talk contribs deleted page Septimal vishnu node (Unused redirect)
- diffhist Minortone family 12:53 −78 FloraC talk contribs (Hemidomain -> semidomain; 13-limit ore -> orefield (see talk))
- diffhist m 1612edo 12:32 −31 FloraC talk contribs (- deleted name)
- diffhist m 1400edo 12:31 −74 FloraC talk contribs (→Regular temperament properties: - deleted name)
- Deletion log 12:29 FloraC talk contribs deleted page Quintapole (Deletion followup)
- diffhist m Catalog of temperaments by wedgie 11:44 −53 FloraC talk contribs (Update)
- diffhist m Marvel temperaments 11:41 −96 FloraC talk contribs (Update)
- diffhist Xenharmonic Wiki:Deleted temperament entries 11:40 +488 FloraC talk contribs (Change ET join to mapping for uniqueness)
- diffhist Xenharmonic Wiki:Deleted temperament entries 11:25 +128 FloraC talk contribs (+ more general reasons)
- diffhist Xenharmonic Wiki:Deleted temperament entries 11:07 +199 FloraC talk contribs
- Move log 11:00 FloraC talk contribs moved page Deleted temperaments to Xenharmonic Wiki:Deleted temperament entries (This is mainly a matter of Wiki management)
- Deletion log 10:17 FloraC talk contribs deleted page Dog (Deletion followup)
- Deletion log 10:17 FloraC talk contribs deleted page Oviminor (Deletion followup)
- diffhist m 1619edo 10:16 −50 FloraC talk contribs (→Regular temperament properties: - deleted name)
- diffhist m Counterquectisma 10:07 −25 FloraC talk contribs
- diffhist m Counterquectismic 10:05 +11 FloraC talk contribs (Changed redirect target from Very high accuracy temperaments#Counterquectismic to Counterquectisma#Temperaments) Tag: Redirect target changed
- User creation log 10:02 User account HilariousHilarion talk contribs was created by FloraC talk contribs and password was sent by email
- diffhist m Quectismic 10:01 +82 FloraC talk contribs (Changed redirect target from Deleted temperaments to Quectisma#Temperaments) Tag: Redirect target changed
- diffhist Quectisma 10:00 +450 FloraC talk contribs (Elaborate)
- diffhist m Quectisma 09:50 −12 FloraC talk contribs (I've used this mathematically as a stress test subject for my Temperament Evaluator)
- diffhist User:Eufalesio/Important Tables 09:12 +329 Eufalesio talk contribs Tag: Visual edit
- diffhist N 1-5-7-9-11-13-15 pentatriandekany 06:01 +1,492 Yourmusic Productions talk contribs (Create Page.)
- diffhist Deleted temperaments 05:35 +22 Hkm talk contribs Tag: Visual edit: Switched
- diffhist Deleted temperaments 05:30 −1 Hkm talk contribs Tag: Visual edit
- diffhist Deleted temperaments 05:29 +317 Hkm talk contribs Tag: Visual edit
- diffhist Quectismic 05:26 −71 Hkm talk contribs (Changed redirect target from Very high accuracy temperaments#Quectismic to Deleted temperaments) Tag: Redirect target changed
- diffhist Quectisma 05:25 +11 Hkm talk contribs (it's not really that mathematically interesting) Tag: Visual edit: Switched
- diffhist Very high accuracy temperaments 05:23 −1,916 Hkm talk contribs
- diffhist Deleted temperaments 05:07 +82 Hkm talk contribs Tag: Visual edit