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

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; [[zpi|ZPINAME]]  
; [[zpi|ZPINAME]]  
* Step size: NNN{{c}}, octave size: NNN{{c}}
* Step size: NNN{{c}}, octave size: NNN{{c}}
_ing the octave of EDONAME by a little over 3{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning ZPINAME does this.
_ing the octave of EDONAME by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning ZPINAME does this.
{{Harmonics in cet|100|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in ZPINAME}}
{{Harmonics in cet|100|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in ZPINAME}}
{{Harmonics in cet|100|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in ZPINAME (continued)}}
{{Harmonics in cet|100|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in ZPINAME (continued)}}
Line 130: Line 130:
; [[EDONOI]]  
; [[EDONOI]]  
* Step size: NNN{{c}}, octave size: NNN{{c}}
* Step size: NNN{{c}}, octave size: NNN{{c}}
_ing the octave of EDONAME by a little over 3{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning EDONOI does this.
_ing the octave of EDONAME by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning EDONOI does this.
{{Harmonics in equal|12|2|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI}}
{{Harmonics in equal|12|2|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI}}
{{Harmonics in equal|12|2|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI (continued)}}
{{Harmonics in equal|12|2|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI (continued)}}


; [[TE|ETNAME, TETUNING]]  
; [[WE|ETNAME, SUBGROUP WE tuning]]  
* Step size: NNN{{c}}, octave size: NNN{{c}}
* Step size: NNN{{c}}, octave size: NNN{{c}}
_ing the octave of EDONAME by a little over 3{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning TETUNING does this.
_ing the octave of EDONAME by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. Its SUBGROUP WE tuning and SUBGROUP [[TE]] tuning both do this.
{{Harmonics in cet|100|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in TETUNING}}
{{Harmonics in cet|100|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in ETNAME, SUBGROUP WE tuning}}
{{Harmonics in cet|100|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in TETUNING (continued)}}
{{Harmonics in cet|100|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in ETNAME, SUBGROUP WE tuning (continued)}}


; EDONAME
; EDONAME
Line 146: Line 146:
{{Harmonics in equal|12|2|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONAME (continued)}}
{{Harmonics in equal|12|2|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONAME (continued)}}


; [[TE|ETNAME, TETUNING]]  
; [[WE|ETNAME, SUBGROUP WE tuning]]  
* Step size: NNN{{c}}, octave size: NNN{{c}}
* Step size: NNN{{c}}, octave size: NNN{{c}}
_ing the octave of EDONAME by a little over 3{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning TETUNING does this.
_ing the octave of EDONAME by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. Its SUBGROUP WE tuning and SUBGROUP [[TE]] tuning both do this.
{{Harmonics in cet|100|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in TETUNING}}
{{Harmonics in cet|100|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in ETNAME, SUBGROUP WE tuning}}
{{Harmonics in cet|100|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in TETUNING (continued)}}
{{Harmonics in cet|100|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in ETNAME, SUBGROUP WE tuning (continued)}}


; [[EDONOI]]  
; [[EDONOI]]  
* Step size: NNN{{c}}, octave size: NNN{{c}}
* Step size: NNN{{c}}, octave size: NNN{{c}}
_ing the octave of EDONAME by a little over 3{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning EDONOI does this.
_ing the octave of EDONAME by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning EDONOI does this.
{{Harmonics in equal|12|2|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI}}
{{Harmonics in equal|12|2|1|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI}}
{{Harmonics in equal|12|2|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI (continued)}}
{{Harmonics in equal|12|2|1|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in EDONOI (continued)}}
Line 160: Line 160:
; [[zpi|ZPINAME]]  
; [[zpi|ZPINAME]]  
* Step size: NNN{{c}}, octave size: NNN{{c}}
* Step size: NNN{{c}}, octave size: NNN{{c}}
_ing the octave of EDONAME by a little over 3{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning ZPINAME does this.
_ing the octave of EDONAME by around NNN{{c}} results in improved primes NNN, but worse primes NNN. This approximates all harmonics up to 16 within NNN{{c}}. The tuning ZPINAME does this.
{{Harmonics in cet|100|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in ZPINAME}}
{{Harmonics in cet|100|columns=11|collapsed=true|intervals=integer|title=Approximation of harmonics in ZPINAME}}
{{Harmonics in cet|100|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in ZPINAME (continued)}}
{{Harmonics in cet|100|columns=12|start=12|collapsed=true|intervals=integer|title=Approximation of harmonics in ZPINAME (continued)}}
Line 166: Line 166:
= Plan for roll-out =
= Plan for roll-out =
Edo pages which currently have  an "octave stretch", "related tunings", "zeta properties", etc. section:
Edo pages which currently have  an "octave stretch", "related tunings", "zeta properties", etc. section:
* Done: {{EDOs|36 edo}}.
* Done (with table): {{EDOs|36 edo}}.
* High priority pages: {{EDOs|7, 12, 17, 19, 22, 27, 31, 41, 58 & 72 edos}}.
* Done (table not added yet): {{EDOs|7, 12, 17, 19 edos}}.
* Medium-high priority pages: {{EDOs|8, 13, 14, 16, 23, 60, 99, 103, 118, & 152 edos}}.
--
* Low-medium priority pages: {{EDOs|32, 33, 39, 42, 45, 54, 59 & 64 edos}}.
* High priority pages: {{EDOs|22, 27, 31, 41, 58, 72 edos}}.
* Low priority pages: {{EDOs|111, 125, 145, 159, 166, 182, 198, 212, 243 & 247 edos}}.
* Medium-high priority pages: {{EDOs|8, 13, 14, 16, 23, 60, 99 edos}}.
* Low-medium priority pages: {{EDOs|32, 33, 39, 42, 45, 54, 59, 64, 103, 118, 152 edos}}.
* Low priority pages: {{EDOs|111, 125, 145, 159, 166, 182, 198, 212, 243, 247 edos}}.


; This standard will need to be rolled out to those above pages.
; This standard will need to be rolled out to those above pages.
Line 179: Line 181:
* When rolling it out try not to delete existing body text but instead rework it where possible.
* When rolling it 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, eg: <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, eg: <nowiki>"{{See also|36edo and octave stretch}}"</nowiki>.
=== What to do with edonoi pages that are very close to these edos ===
* Edt and edf pages should be permanently kept
* Other edonoi pages should be temporarily kept until all [[XW:NG|notable]] information from their respective pages has been added to:
** The "octave stretch and compression" section of the edo page.
AND/OR
** A new "''N''edo and octave stretch" page (create one of these if there is too much information to squeeze into the "octave stretch and compression" section).


=== Possible tunings to be used on each page ===
=== Possible tunings to be used on each page ===
You can remove some of these or add more that aren't listed here; this section is pretty much just brainstorming.
You can remove some of these or add more that aren't listed here; this section is pretty much just brainstorming.
(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
; High-priority
7edo
* 11edt
* 18ed6
* 2.3.5.11.13 TE
* 2.3.11.13 TE
* Best nearby ZPI(s)
12edo (too many edonoi)
* 40ed10
* 7edf
* 19edt
* 31ed6
* 5-limit TE
* 7-limit TE
* 2.3.5.17.19 TE
* Best nearby ZPI(s)
17edo
* 27edt
* 44ed6
* 2.3.7.11 TE
* 2.3.7.11.13 TE
* Best nearby ZPI(s)
19edo
* 49ed6
* 30ed3
* 11edf
* 2.3.5.11 TE
* 13-limit TE
* Best nearby ZPI(s)


22edo
22edo
* 123ed48 (try to find a simpler but similar tuning)
* 1ed54.5c
* 11-limit TE
* 11-limit WE (54.494c)
* 13-limit TE
* 13-limit WE (54.546c)
* Best nearby ZPI(s)
* 80zpi (54.483c)


27edo
27edo
Line 228: Line 207:
* 90ed10
* 90ed10
* 97ed12
* 97ed12
* 7-limit TE
* 7-limit WE (44.306c)
* 13-limit TE
* 13-limit WE (44.375c)
* Best nearby ZPI(s)
* 105zpi (44.674c)
* 106zpi (44.302c)


31edo
31edo
* 80ed6
* 80ed6
* 111ed12
* 111ed12
* 229ed169 (try to find a simpler but similar tuning)
* 25ed7/4 (replaces 229ed169)
* 11-limit TE
* 11-limit WE (38.748c)
* 13-limit TE
* 13-limit WE (38.725c)
* Best nearby ZPI(s)
* 127zpi (38.737c)


41edo
41edo
Line 244: Line 224:
* 106ed6
* 106ed6
* 147ed12
* 147ed12
* 11-limit TE
* 11-limit WE (29.277c)
* 13-limit TE
* 13-limit WE (29.267c)
* Best nearby ZPI(s)
* 184zpi (29.277c)


58edo
58edo
* 92edt
* 92edt
* 150ed6
* 150ed6
* 7-limit TE
* 7-limit WE (20.667c)
* 13-limit TE
* 13-limit WE (20.663c)
* Best nearby ZPI(s)
* 288zpi (20.736c)
* 289zpi (20.666c)


72edo
72edo
* 144edt
* 144edt
* 186ed6
* 186ed6
* 11-limit TE
* 11-limit WE ( 16.677c)
* 13-limit TE
* 13-limit WE (16.680c)
* Best nearby ZPI(s)
* 380zpi (16.678c)


; Medium-high priority
; Medium-high priority


8edo
8edo
* 1ed148.5c
* 29ed12
* Best nearby ZPI(s)
* No-7s 17-limit WE (147.895c)
* No-7s 19-limit WE (148.148c)
* 18zpi (153.463c)
* 19zpi (147.467c)


13edo
13edo
* 2.5.11.13 TE
* 2.5.11.13 WE (92.483c)
* 2.3.5.11.13 TE
* 2.5.7.13 WE (92.804c)
* Best nearby ZPI(s)
* 2.3 WE (91.405c) (good for opposite 7 mapping)
* 38zpi (92.531c)


14edo
14edo
* 22edt
* 22edt
* 36ed6
* 36ed6
* 11-limit TE
* 11-limit WE (85.842c)
* 13-limit TE
* 13-limit WE (85.759c)
* Best nearby ZPI(s)
* 42zpi (86.329c)


16edo
16edo
Line 284: Line 269:
* 41ed6
* 41ed6
* 57ed12
* 57ed12
* 2.5.7.13 TE
* 2.5.7.13 WE (75.105c)
* 13-limit TE
* 13-limit WE (75.315c)
* Best nearby ZPI(s)
* 15zpi (75.262c)


23edo (too many edonoi)
23edo (too many edonoi, too many ZPIs)
* Main: "23edo and octave stretching"
* Main: "23edo and octave stretching"
* 36edt
* 36edt
Line 296: Line 281:
* 11ed7/5
* 11ed7/5
* 1ed33/32
* 1ed33/32
* 2.3.5.13 TE
* 2.3.5.13 WE (52.447c)
* 2.7.11 TE
* 2.7.11 WE (51.962c)
* 13-limit TE
* 13-limit WE (52.237c)
* Best nearby ZPI(s)
* 83zpi (53.105c)
* 84zpi (52.615c)
* 85zpi (52.114c)
* 86zpi ( 51.653c)
* 87zpi (51.201c)


60edo (too many edonoi)
60edo (too many edonoi, too many zpis)
* 95edt
* 95edt
* 139ed5
* 139ed5
Line 307: Line 296:
* 208ed11
* 208ed11
* 255ed19
* 255ed19
* 27ed23 (best for catnip temperament)
* 272ed23 (great for catnip temperament)
* 11-limit TE
* 13-limit WE (20.013c)
* 13-limit TE
* 299zpi (20.128c)
* Best nearby ZPI(s)
* 300zpi (20.093c)
* 301zpi (20.027c)
* 302zpi (19.962c)
* 303zpi (19.913c)
* 304zpi (19.869c)


99edo
99edo
* 157edt
* 157edt
* 256ed6
* 256ed6
* 7-limit TE
* 7-limit WE (12.117c)
* 13-limit TE
* 13-limit WE (12.123c)
* Best nearby ZPI(s)
* 567zpi (12.138c)
 
* 568zpi (12.115c)
103edo (too many edonoi)
* 163edt
* 239ed5
* 289ed7
* 356ed11
* 381ed13
* 421ed17
* 466ed23
* 7-limit TE
* 11-limit TE
* 13-limit TE
* Best nearby ZPI(s)
 
118edo
* 187edt
* 69edf
* 11-limit TE
* 13-limit TE
* Best nearby ZPI(s)
 
152edo
* 241edt
* 11-limit TE
* 13-limit TE
* Best nearby ZPI(s)


; Low-medium priority
; Low-medium priority


32edo
32edo (too many edonoi, too many zpis)
* 90ed7
* 90ed7
* 51edt
* 51edt
* 75ed5
* 75ed5
* 1ed46/45
* 1ed46/45
* 11-limit TE
* 11-limit WE (37.453c)
* 13-limit TE
* 13-limit WE (37.481c)
* Best nearby ZPI(s)
* 131zpi (37.862c)
* 132zpi (37.662c)
* 133zpi (37.418c)
* 134zpi (37.176c)


33edo (too many edonoi)
33edo (too many edonoi)
Line 368: Line 339:
* 123ed13
* 123ed13
* 115ed11
* 115ed11
* 11-limit TE
* 11-limit WE (36.349c)
* 13-limit TE
* 13-limit WE (36.357c)
* Best nearby ZPI(s)
* 137zpi (36.628c)
* 138zpi (36.394c)
* 139zpi (36.179c)


39edo
39edo
* 62edt
* 62edt
* 101ed6
* 101ed6
* 39ed255/128 (replace with something similar but simpler)
* 18ed11/8
* 2.3.5.11 TE
* 2.3.5.11 WE (30.703c)
* 2.3.7.11.13 TE
* 2.3.7.11.13 WE (30.787c)
* 13-limit TE
* 13-limit WE (30.757c)
* Best nearby ZPI(s)
* 171zpi (30.973c)
* 172zpi (30.836c)
* 173zpi (30.672c)


42edo (^replace w something similar but simpler)
42edo
* 42ed257/128^
* 42ed257/128 (replace w something similar but simpler)
* 42ed255/128^
* AS123/121 (1ed123/121)
* APS720jot^
* 11ed6/5
* APS715jot^
* 34ed7/4
* 7-limit TE
* 7-limit WE (28.484c)
* 13-limit TE
* 13-limit WE (28.534c)
* Best nearby ZPI(s)
* 189zpi (28.689c)
* 190zpi (28.572c)
* 191zpi (28.444c)


45edo
45edo
* 126ed7
* 126ed7
* APS3.21farab (replace with something similar but simpler)
* 13ed11/9
* 7-limit TE
* 7-limit WE (26.745c)
* 13-limit TE
* 13-limit WE (26.695c)
* Best nearby ZPI(s)
* 207zpi (26.762)
* 208zpi (26.646)
* 209zpi (26.550)


54edo
54edo
Line 401: Line 380:
* 126ed5
* 126ed5
* 152ed7
* 152ed7
* APS4/5méride (replace with something similar but simpler)
* 38ed5/3
* 2.3.7.11.13 TE
* 40ed5/3
* 13-limit TE
* 2.3.7.11.13 WE (22.180c)
* Best nearby ZPI(s)
* 13-limit WE (22.198c)
* 262zpi (22.313c)
* 263zpi (22.243c)
* 264zpi (22.175c)


59edo
59edo (too many ZPIs)
* 93edt
* 93edt
* 166ed7
* 166ed7
* 203ed11
* 203ed11
* 7-limit TE
* 7-limit WE (20.301c)
* 11-limit TE
* 11-limit WE (20.310c)
* 13-limit TE
* 13-limit WE (20.320c)
* Best nearby ZPI(s)
* 293zpi (20.454c)
* 294zpi (20.399c)
* 295zpi (20.342c)
* 296zpi (20.282c)
* 297zpi (20.229c)


64edo
64edo (too many ZPIs, too many edonoi)
* 149ed5
* 149ed5
* 180ed7
* 180ed7
* 222ed11
* 222ed11
* 64ed257/128 (replace with something similar but simpler)
* 47ed5/3
* 11-limit TE
* 11-limit WE (18.755c)
* 13-limit TE
* 13-limit WE (18.752c)
* 325zpi (18.868c)
* 326zpi (18.816c)
* 327zpi (18.767c)
* 328zpi (18.721c)
* 329zpi (18.672c)
* 330zpi (18.630c)
 
103edo (too many edonoi)
* 163edt
* 239ed5
* 289ed7
* 356ed11
* 381ed13
* 421ed17
* 466ed23
* 13-limit WE (11.658c)
* Best nearby ZPI(s)
 
118edo
* 187edt
* 69edf
* 13-limit WE (10.171c)
* Best nearby ZPI(s)
 
152edo
* 241edt
* 13-limit WE ( 7.894c)
* Best nearby ZPI(s)
* Best nearby ZPI(s)


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