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, 27, 31, 41, 58, 72, 99 }}.
* Done (table not added yet): {{EDOs| 7, 8, 12, 14, 16, 17, 19, 22, 23, 27, 31, 32, 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| 23, 60 }}.
* Medium priority pages: {{EDOs| 13, 32, 33, 39, 42, 45, 54, 59, 64, 103, 111, 118 }}.
* 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.


It can optionally be rolled out to other edo pages later:
''To-do''
* Some that might be of interest: {{EDOs| 25, 26, 29, 30, 34, 35, 36, 37, 5, 6, 9, 10, 11, 15, 18, 48, 20, 24, 28 }}.
* High priority: {{EDOs| 118, 103, 111, 13, 104 }}.
* Medium priority: {{EDOs| 25, 26, 29, 30, 34, 35, 37, 38, 9, 10, 11, 15, 18, 48, 24, 5, 6 }}.
* 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 196: Line 195:
; High-priority
; High-priority


23edo
118edo (choose ZPIS)
* Main: "23edo and octave stretching"
* 187edt
* 36edt
* 69edf
* 59ed6
* 13-limit WE (10.171c)
* 60ed6
* Best nearby ZPI(s)
* 2.3.5.13 WE (52.447c)
* 13-limit WE (52.237c)
* 84zpi (52.615c)
* 85zpi (52.114c)
* 86zpi (51.653c)
 
60edo (narrow down edonoi & ZPIs)
* 95edt
* 35edf
* 139ed5
* 155ed6
* 208ed11
* (???)ed12
* 255ed19
* 272ed23 (great for catnip temperament, maybe there's a similar but simpler tuning w similar benefits?)
* 13-limit WE (20.013c)
* 299zpi (20.128c)
* 300zpi (20.093c)
* 301zpi (20.027c)
* 302zpi (19.962c)
* 303zpi (19.913c)
* 304zpi (19.869c)
 
; Medium 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)
 
32edo (narrow down ZPIs)
* 90ed7
* 51edt
* 75ed5
* 1ed46/45
* 11-limit WE (37.453c)
* 13-limit WE (37.481c)
* 131zpi (37.862c)
* 132zpi (37.662c)
* 133zpi (37.418c)
* 134zpi (37.176c)
 
33edo (narrow down edonoi)
* 76ed5
* 92ed7
* 52edt
* 1ed47/46
* 114ed11
* 122ed13
* 93ed7
* 23edPhi
* 77ed5
* 123ed13
* 115ed11
* 11-limit WE (36.349c)
* 13-limit WE (36.357c)
* 137zpi (36.628c)
* 138zpi (36.394c)
* 139zpi (36.179c)
 
39edo (narrow down slightly)
* 62edt
* 101ed6
* 18ed11/8
* 2.3.5.11 WE (30.703c)
* 2.3.7.11.13 WE (30.787c)
* 13-limit WE (30.757c)
* 171zpi (30.973c)
* 172zpi (30.836c)
* 173zpi (30.672c)
 
42edo (narrow down slightly)
* 42ed257/128 (replace w something similar but simpler)
* AS123/121 (1ed123/121)
* 11ed6/5
* 34ed7/4
* 7-limit WE (28.484c)
* 13-limit WE (28.534c)
* 189zpi (28.689c)
* 190zpi (28.572c)
* 191zpi (28.444c)
 
45edo
* 126ed7
* 13ed11/9
* 7-limit WE (26.745c)
* 13-limit WE (26.695c)
* 207zpi (26.762)
* 208zpi (26.646)
* 209zpi (26.550)
 
54edo (narrow down slightly)
* 86edt
* 126ed5
* 152ed7
* 38ed5/3
* 40ed5/3
* 2.3.7.11.13 WE (22.180c)
* 13-limit WE (22.198c)
* 262zpi (22.313c)
* 263zpi (22.243c)
* 264zpi (22.175c)
 
59edo (narrow down ZPIs)
* 93edt
* 166ed7
* 203ed11
* 7-limit WE (20.301c)
* 11-limit WE (20.310c)
* 13-limit WE (20.320c)
* 293zpi (20.454c)
* 294zpi (20.399c)
* 295zpi (20.342c)
* 296zpi (20.282c)
* 297zpi (20.229c)
 
64edo (narrow down ZPIs)
* 149ed5
* 180ed7
* 222ed11
* 47ed5/3
* 11-limit WE (18.755c)
* 13-limit WE (18.752c)
* 325zpi (18.868c)
* 326zpi (18.816c)
* 327zpi (18.767c)
* 328zpi (18.721c)
* 329zpi (18.672c)
* 330zpi (18.630c)


103edo (narrow down edonoi, choose ZPIS)
103edo (narrow down edonoi, choose ZPIS)
* 163edt
* 163edt
* 239ed5
* 239ed5
* (???)ed6
* 266ed6
* 289ed7
* 289ed7
* 356ed11
* 356ed11
* (???)ed12
* 369ed12
* 381ed13
* 381ed13
* 421ed17
* 421ed17
Line 352: Line 220:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


118edo (choose ZPIS)
13edo
* 187edt
* Main: "13edo and optimal octave stretching"
* 69edf
* 2.5.11.13 WE (92.483c)
* 13-limit WE (10.171c)
* 2.5.7.13 WE (92.804c)
* Best nearby ZPI(s)
* 2.3 WE (91.405c) (good for opposite 7 mapping)
 
* 38zpi (92.531c)
; Low priority


104edo
104edo
Line 366: Line 233:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


125edo
; Medium-priority
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)


145edo
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 378: Line 241:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


152edo
26edo
* 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 389: Line 247:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


166edo
29edo
* 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 395: Line 253:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


182edo
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 401: Line 259:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


198edo
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 407: Line 265:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


212edo
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 413: Line 271:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


243edo
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 419: Line 277:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


247edo
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 425: Line 283:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


; Optional
38edo
 
{{harmonics in equal | 38 | 2 | 1 | intervals=integer | columns=12}}
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 433: Line 290:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


26edo
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 439: Line 296:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


29edo
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 445: Line 302:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


30edo
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 451: Line 308:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


34edo
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 457: Line 314:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


35edo
18edo
* 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 463: Line 320:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


36edo
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 469: Line 326:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


37edo
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 487: Line 344:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


9edo
; Low-priority
 
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 493: Line 352:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


10edo
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 499: Line 358:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


11edo
152edo
* 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 505: Line 369:
* 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 511: Line 375:
* 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 517: Line 381:
* 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 523: Line 387:
* 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 529: Line 393:
* 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 535: Line 399:
* 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)