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.''' | ||
; 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, | * 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 | * 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 176: | Line 178: | ||
It can optionally be rolled out to other edo pages later: | It can optionally be rolled out to other edo pages later: | ||
* Some that might be of interest: {{EDOs| 25, 26, 29, 30, 34, 35, 37 | * Some that might be of interest: {{EDOs| 25, 26, 29, 30, 34, 35, 37, 9, 10, 11, 15, 18, 48, 5, 6, 20, 24, 28 }}. | ||
; Things to note: | ; Things to note: | ||
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; High-priority | ; High-priority | ||
60edo | 60edo | ||
* 35edf | * 35edf | ||
* 139ed5 | * 139ed5 | ||
* | * 301zpi (20.027c) | ||
* | * 95edt | ||
* 13-limit WE (20.013c) (155ed6 has octaves only 0.02{{c}} different) | |||
* 215ed12 | * 215ed12 | ||
* | * 302zpi | ||
* | * 208ed11 (ideal for catnip temperament) | ||
* 303zpi (19.913c) | * 303zpi (19.913c) | ||
32edo ( | 32edo | ||
* 90ed7 | * 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 | * 51edt | ||
* 134zpi (37.176c) | |||
* 75ed5 | * 75ed5 | ||
33edo | 33edo | ||
* 76ed5 | * 76ed5 | ||
* 92ed7 | * 92ed7 (137zpi's octave differs by only 0.3{{c}}) | ||
* | * 52ed13 | ||
* 114ed11 | * 114ed11 | ||
* 122ed13 | * 138zpi (36.394c) (122ed13's octave differs by only 0.1{{c}}) | ||
* 93ed7 | * 13-limit WE (36.357c) | ||
* 77ed5 | * 93ed7 (optimised for dual-fifths) | ||
* 123ed13 | * 77ed5 (139zpi's octave differs by only 0.2{{c}}) | ||
* 123ed13 / 1ed47/46 (identical within <0.1{{c}}) | |||
* 115ed11 | * 115ed11 | ||
39edo ( | 39edo | ||
* | * 171zpi (30.973c) (optimised for dual-fifths use) | ||
* 101ed6 | * 13-limit WE (30.757c) (octave of 135ed11 differs by only 0.2{{c}}) | ||
* 101ed6 (octave of 172zpi differs by only 0.4{{c}}) | |||
* 2.3.5.11 WE (30.703c) | * 2.3.5.11 WE (30.703c) | ||
* | * 173zpi (30.672c) (octave of 62edt differs by only 0.2{{c}}) | ||
* 110ed7 (octave of 145ed13 differs by only 0.1{{c}}) | |||
* 91ed5 | |||
* | |||
* | |||
42edo | 42edo | ||
* | * 108ed6 (octave is identical to 97ed5 within 0.1{{c}}) | ||
* | * 189zpi (28.689c) | ||
* | * 150ed12 | ||
* | * 145ed11 | ||
* | ''190zpi's octave is within 0.05{{c}} of pure-octaves 42edo'' | ||
* 118ed7 | |||
* 13-limit WE (28.534c) | * 13-limit WE (28.534c) | ||
* | * 151ed12 (octave is identical to 7-limit WE within 0.3{{c}}) | ||
* | * 109ed6 | ||
* 191zpi (28.444c) | * 191zpi (28.444c) | ||
* 67edt | |||
45edo | 45edo | ||
* | * 209zpi (26.550) | ||
* | * 13-limit WE (26.695c) | ||
* 161ed12 | |||
* 116ed6 (octave identical to 126ed7 within 0.1{{c}}) | |||
* 7-limit WE (26.745c) | * 7-limit WE (26.745c) | ||
* 207zpi (26.762) | * 207zpi (26.762) | ||
* | * 71edt (octave identical to 155ed11 within 0.3{{c}}) | ||
54edo ( | 54edo | ||
* | * 139ed6 (octave is identical to 262zpi within 0.2{{c}}) | ||
* | * 151ed7 | ||
* 193ed12 | |||
* 263zpi (22.243c) | |||
* 13-limit WE (22.198c) (octave is identical to 187ed11 within 0.1{{c}}) | |||
* 264zpi (22.175c) (octave is identical to 194ed12 within 0.01{{c}}) | |||
* 152ed7 | * 152ed7 | ||
* | * 140ed6 | ||
* | * 126ed5 (octave is identical to 86edt within 0.1{{c}}) | ||
59edo (narrow down ZPIs) | 59edo (narrow down ZPIs) | ||
* | * 152ed6 | ||
* 294zpi (20.399c) | * 294zpi (20.399c) | ||
* 211ed12 | |||
* 295zpi (20.342c) | * 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) | * 296zpi (20.282c) | ||
* | * 153ed6 | ||
64edo ( | 64edo | ||
* | * 179ed7 (octave is identical to 326zpi within 0.3{{c}}) | ||
* | * 165ed6 | ||
* | * 229ed12 (octave is identical to 221ed11 within 0.1{{c}}) | ||
* 327zpi (18.767c) | |||
* 11-limit WE (18.755c) | * 11-limit WE (18.755c) | ||
''pure octaves 64edo (octave is identical to 13-limit WE within 0.13{{c}}'' | |||
* 328zpi (18.721c) | * 328zpi (18.721c) | ||
* | * 180ed7 | ||
* | * 230ed12 | ||
* 149ed5 | |||
; Medium priority | ; Medium priority | ||
| Line 463: | Line 447: | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
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 469: | Line 453: | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
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 475: | Line 459: | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
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 481: | Line 465: | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
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 487: | Line 471: | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
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 493: | Line 477: | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
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 499: | Line 483: | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
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 505: | Line 489: | ||
* Best nearby ZPI(s) | * Best nearby ZPI(s) | ||
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) | ||