User:BudjarnLambeth/Draft related tunings section: Difference between revisions

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'''These are draft guidelines for what a standard "related tunings"-type section should look like on edo pages, using [[36edo]] as an example.'''
'''These are draft guidelines for what a standard "related tunings"-type section should look like on edo pages, using [[36edo]] as an example.'''


; Useful links for working on this:
* [https://sintel.pythonanywhere.com/ Temperament Calculator] by [[User:Sintel|Sintel]] (calculates WE & TE)
* [http://x31eq.com/temper/ x31eq Temperament Finder] by [[Graham Breed]] (calculates TE)


; Which tunings should be listed for any given edo:
; Which tunings should be listed for any given edo:
Line 17: Line 13:


Additional guidelines for selecting tunings:
Additional guidelines for selecting tunings:
* In total, 3 to 8 tunings should be listed.
* In total, roughly 6 tunings should be listed, give or take a few.
* The selection of tunings should cover a range of meaningfully different tunings (eg with a range of different mappings).
* The selection of tunings should cover a range of meaningfully different tunings (eg they cover a range of different mappings and/or they approximate different harmonics well or badly).


; Further instructions
; Further instructions
Line 25: Line 21:


; Where this section should be placed on an edo page:
; Where this section should be placed on an edo page:
<small><small>
* Synopsis & infobox
* Synopsis & infobox
* (Any foundational introductory subsections)
* (Any foundational introductory subsections)
Line 50: Line 47:
* External links
* External links
''Note: This particular set of headings in this order is only how most edo pages look'' at the moment'', but it might be replaced with a more intuitive standard in the future. If and when that happens, this guideline should be modified to adopt that new standard.''
''Note: This particular set of headings in this order is only how most edo pages look'' at the moment'', but it might be replaced with a more intuitive standard in the future. If and when that happens, this guideline should be modified to adopt that new standard.''
</small></small>
; Useful links for working on this:
* [https://sintel.pythonanywhere.com/ Temperament Calculator] by [[User:Sintel|Sintel]] (calculates WE & TE)
* [http://x31eq.com/temper/ x31eq Temperament Finder] by [[Graham Breed]] (calculates TE)


= Example (36edo) =
= Example (36edo) =
Line 165: Line 167:


= Plan for roll-out =
= Plan for roll-out =
Edo pages which currently have  an "octave stretch", "related tunings", "zeta properties", etc. section:
''Done''
* Done (with table): {{EDOs| 36 }}.
* Done (with table): {{EDOs| 36 }}.
* Done (table not added yet): {{EDOs| 7, 8, 12, 14, 16, 17, 19, 22, 23, 27, 31, 41, 58, 72, 99 }}.
* Done (table not added yet): {{EDOs| 7, 8, 12, 14, 16, 17, 19, 22, 23, 27, 31, 32, 38, 41, 58, 60, 72, 99 }}.
--
* Done (table & some step sizes not added yet): {{EDOs| 33, 39, 42, 45, 54, 59, 64 }}.
* High priority pages: {{EDOs| 60, 32, 33, 39, 42, 45, 54, 59, 64}}.
* Medium priority pages: {{EDOs| 118, 13, 103, 111 }}.
* Low priority pages: {{EDOs| 104, 125, 145, 152, 159, 166, 182, 198, 212, 243, 247 }}.


; This standard will need to be rolled out to those above pages.
''To-do''
 
* High priority: {{EDOs| 118, 103, 111, 13, 104 }}.
It can optionally be rolled out to other edo pages later:
* Medium priority: {{EDOs| 25, 26, 29, 30, 35, 37, 15, 9, 18, 24, 48, 5, 6, 10, 11, 34 }}.
* Some that might be of interest: {{EDOs| 25, 26, 29, 30, 34, 35, 37, 5, 6, 9, 10, 11, 15, 18, 48, 20, 24, 28 }}.
* Low priority: {{EDOs| 125, 145, 152, 159, 166, 182, 198, 212, 243, 247 }}.  


; Things to note:
; Things to note:
* When rolling it out try not to delete existing body text but instead rework it where possible.
* When rolling this out try not to delete existing body text but instead rework it where possible.
* This section will ''not'' replace any "n-edo and octave stretch" pages. Still, add this section to the relevant edo page, but also link to the "n-edo and octave stretch" page at the top of this section, using the see also Template, e.g.: <nowiki>"{{See also|36edo and octave stretch}}"</nowiki>.
* This section will ''not'' replace any "n-edo and octave stretch" pages. Still, add this section to the relevant edo page, but also link to the "n-edo and octave stretch" page at the top of this section, using the see also template, e.g.: <nowiki>"{{See also|36edo and octave stretch}}"</nowiki>.


=== What to do with edonoi pages that are very close to these edos ===
=== What to do with edonoi pages that are very close to these edos ===
Line 195: Line 194:


; High-priority
; High-priority
60edo
* 35edf
* 139ed5
* 301zpi (20.027c)
* 95edt
* 13-limit WE (20.013c) (155ed6 has octaves only 0.02{{c}} different)
* 215ed12
* 302zpi
* 208ed11 (ideal for catnip temperament)
* 303zpi (19.913c)
32edo
* 13-limit WE (37.481c)
* 11-limit WE (37.453c)
* 90ed7 (optimal for dual-5) (133zpi's octave only differs by 0.4{{c}})
* 51edt
* 134zpi (37.176c)
* 75ed5
33edo
* 76ed5
* 92ed7 (137zpi's octave differs by only 0.3{{c}})
* 52ed13
* 114ed11
* 138zpi (36.394c) (122ed13's octave differs by only 0.1{{c}})
* 13-limit WE (36.357c)
* 11-limit WE (36.349c)
* 93ed7 (optimised for dual-fifths)
* 77ed5 (139zpi's octave differs by only 0.2{{c}})
* 123ed13 / 1ed47/46 (identical within <0.1{{c}})
* 115ed11
39edo
* 62edt
* 101ed6
* 18ed11/8 (better 13&17, worse 11, other harms roughly same)
* 171zpi (30.973c)
* 172zpi (30.836c)
* 2.3.7.11.13 WE (30.787c)
* 13-limit WE (30.757c)
* 2.3.5.11 WE (30.703c)
* 173zpi (30.672c)
42edo
* 42ed257/128 (good 2.3.5.7; bad 11.13)
* 11ed6/5 (good 2.3.5; okay 7.11.13)
* 189zpi (28.689c) (good 2.5.13; okay 3.11; bad 7)
* 190zpi (28.572c)
* 13-limit WE (28.534c)
* 34ed7/4 (good 2.5.7.13; okay 3.11)
* 7-limit WE (28.484c) (good 2.3.5.11.13; bad 7)
* 191zpi (28.444c)
* 1ed123/121 (good 2.3.5.11; okay 13; bad 7)
45edo
* 207zpi (26.762)
* 7-limit WE (26.745c)
* 13-limit WE (26.695c)
* 208zpi (26.646)
* 209zpi (26.550)
* 126ed7 (improves 3.5.7.11.13)
* 13ed11/9 (improves 3.5.7.11.13.17)
54edo (possibly narrow down edonoi)
* 126ed5
* 38ed5/3 (stretch, improves 3.5.7.11.13.17.19.23)
* 262zpi (22.313c)
* 263zpi (22.243c)
* 13-limit WE (22.198c)
* 2.3.7.11.13 WE (22.180c)
* 264zpi (22.175c)
* 40ed5/3 (compress, improves 3.5.11.13.17.19 (not 7))
* 152ed7
* 86edt
59edo (narrow down ZPIs)
* 93edt
* 203ed11
* 293zpi (20.454c)
* 294zpi (20.399c)
* 295zpi (20.342c)
* 13-limit WE (20.320c)
* 11-limit WE (20.310c)
* 7-limit WE (20.301c)
* 296zpi (20.282c)
* 297zpi (20.229c)
* 166ed7
64edo (narrow down ZPIs)
* 47ed5/3 (like 221ed11 but benefits & drawbacks both amplified)
* 221ed11
* 325zpi (18.868c)
* 326zpi (18.816c)
* 327zpi (18.767c)
* 11-limit WE (18.755c)
* 13-limit WE (18.752c)
* 328zpi (18.721c)
* 329zpi (18.672c)
* 330zpi (18.630c)
* 180ed7
* 149ed5
; Medium priority


118edo (choose ZPIS)
118edo (choose ZPIS)
Line 305: Line 200:
* 13-limit WE (10.171c)
* 13-limit WE (10.171c)
* Best nearby ZPI(s)
* Best nearby ZPI(s)
13edo
* Main: "13edo and optimal octave stretching"
* 2.5.11.13 WE (92.483c)
* 2.5.7.13 WE (92.804c)
* 2.3 WE (91.405c) (good for opposite 7 mapping)
* 38zpi (92.531c)


103edo (narrow down edonoi, choose ZPIS)
103edo (narrow down edonoi, choose ZPIS)
Line 332: Line 220:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


; Low priority
13edo
* Main: "13edo and optimal octave stretching"
* 2.5.11.13 WE (92.483c)
* 2.5.7.13 WE (92.804c)
* 2.3 WE (91.405c) (good for opposite 7 mapping)
* 38zpi (92.531c)


104edo
104edo
Line 340: Line 233:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


125edo
; Medium-priority
 
25edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 346: Line 241:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


145edo
26edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 352: Line 247:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


152edo
29edo
* 241edt
* 13-limit WE (7.894c)
* Best nearby ZPI(s)
 
159edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 363: Line 253:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


166edo
30edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 369: Line 259:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


182edo
35edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 375: Line 265:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


198edo
36edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 381: Line 271:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


212edo
37edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 387: Line 277:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


243edo
15edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 393: Line 283:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


247edo
9edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 399: Line 289:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


; Optional
18edo
 
25edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 407: Line 295:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


26edo
24edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 413: Line 301:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


29edo
48edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 419: Line 307:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


30edo
5edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 425: Line 313:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


34edo
6edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 431: Line 319:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


35edo
10edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 437: Line 325:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


36edo
11edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 443: Line 331:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


37edo
34edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 449: Line 337:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


5edo
; Low-priority
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)


6edo
125edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 461: Line 345:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


9edo
145edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 467: Line 351:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


10edo
152edo
* Nearby edt, ed6, ed12 and/or edf
* 241edt
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 13-limit WE (7.894c)
* 1-2 WE tunings
* Best nearby ZPI(s)
* Best nearby ZPI(s)


11edo
159edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 479: Line 362:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


15edo
166edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 485: Line 368:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


18edo
182edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 491: Line 374:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


48edo
198edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 497: Line 380:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


20edo
212edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 503: Line 386:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


24edo
243edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
Line 509: Line 392:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


28edo
247edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* 1-2 WE tunings
* Best nearby ZPI(s)
* Best nearby ZPI(s)