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

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'''ABANDONED.'''
'''These guidelines have been retracted due to them being largely not liked by most commenters on the XA Discord.'''
{{Editable user page}}
{{Editable user page}}


<pre>
== The guidelines ==
== The guidelines ==
'''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 18:


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 26:


; 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 52:
* 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 172:


= 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, 9, 12, 14, 16, 17, 19, 22, 23, 27, 28, 31, 32, 38, 41, 58, 60, 72, 99 }}.
--
* Done (table & some step sizes not added yet): {{EDOs| 15, 18, 33, 39, 42, 45, 54, 59, 64 }}.
* High priority pages: {{EDOs| 60, 32, 33, 39, 42, 45, 54, 59, 64}}.
* ''Started (brief summary only): {{EDOs| 5, 6, 10, 11, 24, 25, 26, 29, 30, 34, 35, 37, 47, 48, 49, 50, 62, 65, 66 }}.''
* 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 (optional)''
 
* Highest priority: {{EDOs| 13, 118, 159, 270, 103, 104, 107, 111, 117, 125 }}.
It can optionally be rolled out to other edo pages later:
* High priority: {{EDOs| 140, 145, 152, 166, 171, 182, 183, 198, 212, 224, 243, 247, 342 }}.
* 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 }}.
* Medium-high priority: {{EDOs| 5, 6, 10, 11, 24, 25, 26, 29, 30, 34, 35, 37, 47, 48, 49, 50, 62, 65, 66}}.
* Medium-low priority: {{EDOs| 73, 76, 80, 81, 83, 84, 88, 89, 91, 95, 96, 101, 106, 110, 112, 113, 121, 122, 123, 124 }}.
* Low priority: {{EDOs| 20, 21, 40, 43, 44, 46, 51, 52, 53, 55, 56, 57, 63, 67, 68, 69, 70, 71, 74, 75, 77, 78, 79, 82, 85, 86, 87, 90, 92, 93, 94, 97, 98, 102, 105, 108, 109, 114, 115, 116, 119, 120 }}.
* Lowest priority: All other EDOs above 125.
''Priority is higher if: there is already a section for stretch, compression, nearby tunings or zeta on the page / the edo lends itself to stretch or compression (e.g. of the primes with 20-40% relative error, most tend in the same direction) / the edo gets a lot of attention (it's small, or especially good by some prominent metric, or the page is especially long, or it gets used a lot by composers).''


; 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 194: Line 203:
(Used https://x31eq.com/temper-pyscript/net.html, used WE instead of TE cause it kept defaulting to WE and I kept not remembering to switch it)
(Used https://x31eq.com/temper-pyscript/net.html, used WE instead of TE cause it kept defaulting to WE and I kept not remembering to switch it)


; High-priority
13edo
 
* Main: "13edo and optimal octave stretching"
60edo
* 2.5.11.13 WE (92.483c)
* 35edf
* 2.5.7.13 WE (92.804c)
* 139ed5
* 2.3 WE (91.405c) (good for opposite 7 mapping)
* 301zpi (20.027c)
* 38zpi (92.531c)
* 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}})
* 52ed
* 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
* 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
* 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 (possibly narrow down edonoi)
* 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)
 
; Medium priority


118edo (choose ZPIS)
118edo (choose ZPIS)
Line 305: Line 215:
* 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 326: Line 229:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


111edo (choose ZPIS)
Default
* 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 332: Line 235:
* Best nearby ZPI(s)
* Best nearby ZPI(s)


; Low priority
=== Reasoning for priority levels ===
^^currently has a zeta peak section with only the graph/table and little/no description, or another existing non-standard similar tunings section


104edo
* 49edo mostly sharp
* Nearby edt, ed6, ed12 and/or edf
* 50edo mostly flat
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 51edo stretch/compression unhelpful
* 1-2 WE tunings
* 52edo stretch/compression unhelpful
* Best nearby ZPI(s)
* 53edo stretch/compression unhelpful
 
* 54edo stretch/compression unhelpful
125edo
* 55edo stretch/compression unhelpful
* Nearby edt, ed6, ed12 and/or edf
* 56edo stretch/compression unhelpful
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 57edo mostly flat (on closer inspection octave stretch doesn't help all that much)
* 1-2 WE tunings
* 58edo mostly sharp
* Best nearby ZPI(s)
* 59edo mostly sharp
 
* ''60edo already done''
145edo
* 61edo stretch/compression unhelpful
* Nearby edt, ed6, ed12 and/or edf
* 62edo mostly flat
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 63edo stretch/compression unhelpful
* 1-2 WE tunings
* 64edo stretch/compression unhelpful
* Best nearby ZPI(s)
* 65edo mostly sharp
 
* 66edo mostly flat
152edo
* 67edo stretch/compression unhelpful
* 241edt
* 68edo stretch/compression unhelpful
* 13-limit WE (7.894c)
* 69edo stretch/compression unhelpful
* Best nearby ZPI(s)
* 70edo complicated
 
* 71edo stretch/compression unhelpful
159edo
* ''72edo already done''
* Nearby edt, ed6, ed12 and/or edf
* 73edo mostly sharp
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 74edo stretch/compression unhelpful
* 1-2 WE tunings
* 75edo complicated
* Best nearby ZPI(s)
* 76edo mostly flat
 
* 77edo stretch/compression unhelpful
166edo
* 78edo stretch/compression unhelpful
* Nearby edt, ed6, ed12 and/or edf
* 79edo stretch/compression unhelpful
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 80edo mostly sharp
* 1-2 WE tunings
* 81edo mostly flat
* Best nearby ZPI(s)
* 82edo stretch/compression unhelpful
 
* 83edo mostly sharp
182edo
* 84edo mostly sharp
* Nearby edt, ed6, ed12 and/or edf
* 85edo stretch/compression unhelpful
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 86edo stretch/compression unhelpful
* 1-2 WE tunings
* 87edo stretch/compression unhelpful
* Best nearby ZPI(s)
* 88edo mostly flat
 
* ^^89edo mostly sharp
198edo
* 90edo stretch/compression unhelpful
* Nearby edt, ed6, ed12 and/or edf
* 91edo mostly flat
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 92edo stretch/compression unhelpful
* 1-2 WE tunings
* 93edo stretch/compression unhelpful
* Best nearby ZPI(s)
* 94edo stretch/compression unhelpful
 
* 95edo mostly sharp
212edo
* 96edo mostly flat
* Nearby edt, ed6, ed12 and/or edf
* 97edo stretch/compression unhelpful
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 98edo stretch/compression unhelpful
* 1-2 WE tunings
* 99edo mostly sharp
* Best nearby ZPI(s)
* 100edo complicated
 
* 101edo mostly sharp
243edo
* 102edo stretch/compression unhelpful
* Nearby edt, ed6, ed12 and/or edf
* ^^103edo mostly flat
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* ^^104edo mostly sharp
* 1-2 WE tunings
* 105edo stretch/compression unhelpful
* Best nearby ZPI(s)
* 106edo mostly sharp
 
* ^^107edo mostly flat
247edo
* 108edo stretch/compression unhelpful
* Nearby edt, ed6, ed12 and/or edf
* 109edo stretch/compression unhelpful
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 110edo mostly flat
* 1-2 WE tunings
* ^^111edo mostly sharp
* Best nearby ZPI(s)
* 112edo mostly flat
 
* 113edo mostly flat
; Optional
* 114edo stretch/compression unhelpful
 
* 115edo stretch/compression unhelpful
25edo
* 116edo stretch/compression unhelpful
* Nearby edt, ed6, ed12 and/or edf
* ^^117edo slightly sharp
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* ^^118edo stretch/compression unhelpful
* 1-2 WE tunings
* 119edo stretch/compression unhelpful
* Best nearby ZPI(s)
* 120edo stretch/compression unhelpful
 
* 121edo mostly sharp
26edo
* 122edo mostly flat
* Nearby edt, ed6, ed12 and/or edf
* 123edo mostly flat
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 124edo mostly sharp
* 1-2 WE tunings
* ^^125edo mostly flat
* Best nearby ZPI(s)
</pre>
 
29edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
30edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
34edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
35edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
36edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
37edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
5edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
6edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
9edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
10edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
11edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
15edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
18edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
48edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
20edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
24edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)
 
28edo
* Nearby edt, ed6, ed12 and/or edf
* Nearby ed5, ed10, ed7 and/or ed11 (optional)
* 1-2 WE tunings
* Best nearby ZPI(s)