@@ Line 4: / Line 4: @@
 '''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:
@@ Line 17: / Line 13: @@
 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
@@ Line 25: / Line 21: @@
 ; Where this section should be placed on an edo page:
+<small><small>
 * Synopsis & infobox
 * (Any foundational introductory subsections)
@@ Line 50: / Line 47: @@
 * 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.''
+</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) =
@@ Line 165: / Line 167: @@
 = 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 (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, 41, 58, 60, 72, 99 }}.
---
+* Done (table & some step sizes not added yet): {{EDOs| 33, 39, 42, 45 }}.
-* 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| 54, 64, 59 }}.
-It can optionally be rolled out to other edo pages later:
+* Medium priority pages: {{EDOs| 25, 26, 29, 30, 34, 35, 37, 38, 9, 10, 11, 15, 18, 48, 24, 5, 6, 13, 118, 103, 111 }}.
-* 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 pages: {{EDOs| 104, 125, 145, 152, 159, 166, 182, 198, 212, 243, 247 }}.
 ; 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 ===
@@ Line 196: / Line 195: @@
 ; High-priority
 edo
-* 35edf
+* 139ed6 (octave is identical to 262zpi within 0.2{{c}})
-* 139ed5
+* 151ed7
-* 301zpi (20.027c)
+* 193ed12
-* 95edt
+* 263zpi (22.243c)
-* 13-limit WE (20.013c) (155ed6 has octaves only 0.02{{c}} different)
+* 13-limit WE (22.198c)  (octave is identical to 187ed11 within 0.1{{c}})
-* 215ed12
+* 264zpi (22.175c) (octave is identical to 194ed12 within 0.01{{c}})
-* 302zpi
+* 152ed7
-* 208ed11 (ideal for catnip temperament)
+* 140ed6
-* 303zpi (19.913c)
+* 126ed5 (octave is identical to 86edt within 0.1{{c}})
 edo
-* 13-limit WE (37.481c)
+* 179ed7 (octave is identical to 326zpi within 0.3{{c}})
-* 11-limit WE (37.453c)
+* 165ed6
-* 90ed7 (optimal for dual-5) (133zpi's octave only differs by 0.4{{c}})
+* 229ed12 (octave is identical to 221ed11 within 0.1{{c}})
-* 51edt
+* 327zpi (18.767c)
-* 134zpi (37.176c)
+* 11-limit WE (18.755c)
-* 75ed5
+''pure octaves 64edo (octave is identical to 13-limit WE within 0.13{{c}}''
+* 328zpi (18.721c)
-edo (narrow down edonoi)
+* 180ed7
-* 76ed5
+* 230ed12
-* 92ed7
+* 149ed5
-* 52edt
-* 1ed47/46
-* 114ed11
-* 122ed13
-* 93ed7
-* 77ed5
-* 123ed13
-* 115ed11
-* 11-limit WE (36.349c)
-* 13-limit WE (36.357c)
-* 137zpi (36.628c)
-* 138zpi (36.394c)
-* 139zpi (36.179c)
-edo
-* 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)
-edo
-* 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)
-edo
-* 126ed7
-* 13ed11/9
-* 7-limit WE (26.745c)
-* 13-limit WE (26.695c)
-* 207zpi (26.762)
-* 208zpi (26.646)
-* 209zpi (26.550)
-edo (possibly narrow down edonoi)
+edo (reduce # of edonoi or ZPI)
-* 86edt
+* 152ed6
-* 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)
-edo (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)
+* 211ed12
 * 295zpi (20.342c)
+''pure octaves 59edo octave is identical to 137ed5 within 0.05{{c}}''
+* 13-limit WE (20.320c)
+* 7-limit WE (20.301c)
+* 166ed7
+* 212ed12
 * 296zpi (20.282c)
-* 297zpi (20.229c)
+* 153ed6
-edo (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
-edo (choose ZPIS)
+edo
-* 187edt
-* 69edf
-* 13-limit WE (10.171c)
-* Best nearby ZPI(s)
-edo
-* 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)
-edo (narrow down edonoi, choose ZPIS)
-* 163edt
-* 239ed5
-* 266ed6
-* 289ed7
-* 356ed11
-* 369ed12
-* 381ed13
-* 421ed17
-* 466ed23
-* 13-limit WE (11.658c)
-* Best nearby ZPI(s)
-edo (choose ZPIS)
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 336: / Line 239: @@
 * Best nearby ZPI(s)
-; Low priority
+edo
-edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 344: / Line 245: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 350: / Line 251: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 356: / Line 257: @@
 * Best nearby ZPI(s)
 edo
-* 241edt
-* 13-limit WE (7.894c)
-* Best nearby ZPI(s)
-edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 367: / Line 263: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 373: / Line 269: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 379: / Line 275: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 385: / Line 281: @@
 * Best nearby ZPI(s)
 edo
+{{harmonics in equal | 38 | 2 | 1 | intervals=integer | columns=12}}
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 391: / Line 288: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 397: / Line 294: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 403: / Line 300: @@
 * Best nearby ZPI(s)
-; Optional
+edo
-edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 411: / Line 306: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 417: / Line 312: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 423: / Line 318: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 429: / Line 324: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 435: / Line 330: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 441: / Line 336: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 447: / Line 342: @@
 * Best nearby ZPI(s)
 edo
+* 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)
+edo (choose ZPIS)
+* 187edt
+* 69edf
+* 13-limit WE (10.171c)
+* Best nearby ZPI(s)
+edo (narrow down edonoi, choose ZPIS)
+* 163edt
+* 239ed5
+* 266ed6
+* 289ed7
+* 356ed11
+* 369ed12
+* 381ed13
+* 421ed17
+* 466ed23
+* 13-limit WE (11.658c)
+* Best nearby ZPI(s)
+edo (choose ZPIS)
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 453: / Line 374: @@
 * Best nearby ZPI(s)
-edo
+; Low priority
+edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 459: / Line 382: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 465: / Line 388: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 471: / Line 394: @@
 * Best nearby ZPI(s)
 edo
-* 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)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 483: / Line 405: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 489: / Line 411: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 495: / Line 417: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 501: / Line 423: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 507: / Line 429: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
@@ Line 513: / Line 435: @@
 * Best nearby ZPI(s)
 edo
 * Nearby edt, ed6, ed12 and/or edf
 * Nearby ed5, ed10, ed7 and/or ed11 (optional)
 * 1-2 WE tunings
 * Best nearby ZPI(s)

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