User:FloraC/Workbench: Difference between revisions

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== Temperament pages ==
== Octave stretch subpages for edo articles ==
Todo.
 
== Categorical structure for temperament articles ==
; Old structure
* Category: Temperaments
** Category: Categories by temperament
*** Category: Meantone
**** Meantone
**** Category: Meantone family
***** Meantone
***** Meantone family
** Category: Temperament families
*** Meantone family
*** Category: Meantone family
**** Meantone
**** Meantone family
 
; Comment
* It's a mess.
* Some pages are in a category as well as its parent category.
* On other wikis, category pages are sometimes used as catalogs (as in, Meantone family should redirect to Category: Meantone family). For us, this means a drastic change with no clear return.
 
; Proposed new structure
* Category: Temperaments
** Category: Categories by temperament
*** Category: Meantone
**** Meantone
**** Meantone family
** Category: Categories by temperament catalog
*** Category: Meantone family
**** Meantone
**** Meantone family
** Category: Temperament families
*** Meantone family
 
== Temperament data pages ==
Notes:  
Notes:  
# Order: [[subgroup]], [[comma list]], [[mapping]] (mapping generators) / subgroup-val mapping & gencom mapping, lattice basis, [[optimal tuning]]s ([[WE]] and [[CWE]]), [[minimax tuning]], [[tuning ranges]], [[algebraic generator]] (?), [[optimal ET sequence]], [[badness]], [[complexity spectrum]], and others.  
# Order:  
#* [[Subgroup]]
#* [[Comma list]]
#* [[Mapping]] (mapping generators) / subgroup-val mapping & gencom mapping
#* [[Optimal tuning]]s ([[WE]] and [[CWE]])
#* [[Optimal ET sequence]]
#* [[Badness]]
# Only keep [[minimax tuning]] and [[tuning ranges]] if they don't exist in the dedicated temperament page. Since minimax tunings are based on tonality diamonds, it should explicitly state the ''odd'' limit, or a diamond function of ratios.
# Relocate [[algebraic generator]] to the intro to the temperament.
# Remove lattice basis, [[projection pair]], and [[complexity spectrum]], but determine if any of them is worth relocating to their collection pages.  
# Comma list should be the Tenney-minimal commas sufficient to define the temperament, stated in [[Normal forms #Normal forms for commas]].  
# Comma list should be the Tenney-minimal commas sufficient to define the temperament, stated in [[Normal forms #Normal forms for commas]].  
# In mapping generators, show all the ratios as used in the mapping, including the period.
# For subgroup temperaments, "mapping" becomes "subgroup-val mapping" and "gencom mapping"".  
# For subgroup temperaments, "mapping" becomes "subgroup-val mapping" and "gencom mapping"".  
# In mapping generators, make sure all the ratios as used in the mapping, including the period, are present.
#* If the subgroup is trivial, simply show "WE"/"CWE", otherwise show "subgroup/inharmonic WE/CWE" instead.  
#* If the subgroup is trivial, simply show "WE"/"CWE", otherwise show "subgroup/inharmonic WE/CWE" instead.  
# Cent symbols.  
# Make sure there are cent symbols after cent values.  
# Since minimax tunings are based on tonality diamonds, it should explicitly state the ''odd'' limit, or a diamond function of ratios.
 
# Algebraic generators are to be discussed later.
Create a family for:
* <s>Ripple</s> (done)
* <s>Passion</s> (done)
* <s>Undim</s> (done)
* <s>Parakleismic</s> (done)
* <s>Rank-3 schismic</s> (done)
 
Dissolve the family for:
* <s>Maja</s> (done)
* Quintaleap
* Quindromeda


Get a family for:  
Debatable:  
* <s>Ripple (3 different 7-limit extensions)</s> done
* Smate
* <s>Smate (2 different 7-limit extensions)</s> done
* Bapbo
* <s>Passion (4 different 7-limit extensions, 3 strong and 1 weak)</s> done
* Sycamore
* <s>Undim</s> done
* Maquila
* <s>Quintaleap</s> done
* <s>Quindromeda</s> done
* Parakleismic (many reasonable but unnamed 7-limit extensions)
* Schismatic rank-3 family (perhaps)


Progress:  
Progress on existing data pages:  
* <s>Meantone family</s>
* <s>Meantone family</s>
* <s>Didymus rank-3 family</s>
* <s>Didymus rank-3 family</s>
Line 41: Line 92:
* <s>Bug family</s>
* <s>Bug family</s>
* <s>Mavila family</s>
* <s>Mavila family</s>
* <s>Smate family</s>
* <s>Gamelismic clan</s>
* <s>Gamelismic clan</s>
* <s>Gamelismic family</s>
* <s>Gamelismic family</s>
Line 58: Line 108:
* <s>Kleismic family</s>
* <s>Kleismic family</s>
* <s>Kleismic rank-3 family</s>
* <s>Kleismic rank-3 family</s>
* [[Würschmidt family]]
* <s>Würschmidt family</s>
* [[Unicorn family]]
* <s>Unicorn family</s>
* [[Immunity family]]
* <s>Immunity family</s>
* [[Fifive family]]
* <s>Fifive family</s>
* [[Trisedodge family]]
* <s>Trisedodge family</s>
* [[Quintosec family]]
* <s>Quintosec family</s>
* [[Quintile family]]
* <s>Quintile family</s>
* [[Sycamore family]]
* <s>Semicomma family</s>
* <s>Semicomma family</s>
* <s>Orwellismic temperaments</s>
* <s>Orwellismic temperaments</s>
* <s>Orwellismic family</s>
* <s>Orwellismic family</s>
* [[Hemimean clan]]
* [[Hemimean clan]]
* [[Hemimean family]]
* <s>Hemimean family</s>
* <s>Hemifamity temperaments</s>
* <s>Aberschismic temperaments</s>
* <s>Hemifamity family</s>
* <s>Aberschismic family</s>
* <s>Porwell temperaments</s>
* <s>Porwell temperaments</s>
* [[Porwell family]]
* <s>Porwell family</s>
* [[Hemimage temperaments]]
* <s>Hemimage temperaments</s>
* [[Hemimage family]]
* <s>Hemimage family</s>
* <s>Porcupine family</s>
* <s>Porcupine family</s>
* <s>Porcupine rank-3 family</s>
* <s>Porcupine rank-3 family</s>
Line 83: Line 132:
* <s>Diaschismic rank-3 family</s>
* <s>Diaschismic rank-3 family</s>
* <s>Compton family</s>
* <s>Compton family</s>
* [[Amity family]]
* <s>Countercomp family</s>
* <s>Mercator family</s>
* <s>Amity family</s>
* <s>Misty family</s>
* <s>Misty family</s>
* <s>Undim family</s>
* <s>Undim family</s>
Line 89: Line 140:
* <s>Kalismic temperaments</s>
* <s>Kalismic temperaments</s>
* <s>Ragismic microtemperaments</s>
* <s>Ragismic microtemperaments</s>
* [[Ragismic family]]
* <s>Ragismic family</s>
* [[Landscape microtemperaments]]
* <s>Landscape microtemperaments</s>
* <s>Landscape family</s>
* <s>Landscape family</s>
* <s>Dimcomp family</s>
* <s>Dimcomp family</s>
* [[Mirkwai clan]]
* <s>Canopic clan</s>
* [[Mirkwai family]]
* <s>Quince clan</s>
* <s>Quince clan</s>
* <s>Breedsmic temperaments</s>
* <s>Breedsmic temperaments</s>
Line 101: Line 151:
* <s>Gravity family</s>
* <s>Gravity family</s>
* <s>Buzzardsmic clan</s>
* <s>Buzzardsmic clan</s>
* [[Cataharry temperaments]]
* <s>Stearnsmic clan</s>
* [[Cataharry family]]
* <s>Cataharry temperaments</s>
* [[Varunismic temperaments]]
* <s>Cataharry family</s>
* <s>Varunismic temperaments</s>
* <s>Triwellismic temperaments</s>
* <s>Rastmic rank-3 clan</s>
* <s>Rastmic rank-3 clan</s>
* <s>Biyatismic clan</s>
* <s>Biyatismic clan</s>
Line 113: Line 165:
* <s>Werckismic temperaments</s>
* <s>Werckismic temperaments</s>
* <s>Swetismic temperaments</s>
* <s>Swetismic temperaments</s>
* [[Wizmic microtemperaments]]
* <s>Wizmic microtemperaments</s>
* [[Metric microtemperaments]]
* <s>Metric microtemperaments</s>
* [[Horwell temperaments]]
* <s>Horwell temperaments</s>
* [[Horwell family]]
* <s>Horwell family</s>
* [[Luna family]]
* <s>Luna family</s>
* <s>Vulture family</s>
* <s>Vulture family</s>
* <s>Alphatricot family</s>
* <s>Alphatricot family</s>
* [[Minortonic family]]
* <s>Minortone family</s>
* [[Gammic family]]
* <s>Gammic family</s>
* [[Vishnuzmic family]]
* <s>Vishnu family</s>
* <s>Garischismic clan</s>
* <s>Septischismic clan</s>
* <s>Garischismic family</s>
* <s>Septischismic family</s>
* [[Canousmic temperaments]]
* <s>Cathartic temperaments</s>
* [[Canou family]]
* <s>Cathartic family</s>
* [[Semicanousmic clan]]
* <s>Semicathartismic clan</s>
* [[Semiporwellismic clan]]
* <s>Semiporwellismic clan</s>
* <s>Olympic clan</s>
* <s>Olympic clan</s>
* [[Alphaxenic rank-3 clan]]
* <s>Alphaxenic rank-3 clan</s>
* [[Mirwomo temperaments]]
* <s>Mirwomo temperaments</s>
* <s>Gariboh clan</s>
* <s>Gariboh clan</s>
* <s>Gariboh family</s>
* <s>Gariboh family</s>
* <s>Octagar temperaments</s>
* <s>Octagar temperaments</s>
* <s>Octagar family</s>
* <s>Octagar family</s>
* <s>Blackwood family</s>
* <s>Whitewood family</s>
* <s>Whitewood family</s>
* [[Wesley family]]
* <s>Wesley family</s>
* <s>Quartonic family</s>
* <s>Mabila family</s>
* <s>Mabila family</s>
* [[Maquila family]]
* <s>Ditonmic family</s>
* [[Maja family]]
* <s>Greenwoodmic temperaments</s>
* [[Ditonmic family]]
* [[Greenwoodmic temperaments]]
* <s>Avicennmic temperaments</s>
* <s>Avicennmic temperaments</s>
* <s>Keegic temperaments</s>
* <s>Very low accuracy temperaments</s>
* <s>Very low accuracy temperaments</s>
* [[Very high accuracy temperaments]]
* [[Very high accuracy temperaments]]
* <s>Catalog of rank-4 temperaments</s>
* <s>Catalog of rank-4 temperaments</s>
* [[Equivalence continuum|Equivalence continua]]
* [[Equivalence continuum|Equivalence continua]]
** <s>Syntonic–diatonic equivalence continuum</s>
** <s>Syntonic–limmic equivalence continuum</s>
** <s>Syntonic–chromatic equivalence continuum</s>
** <s>Syntonic–chromatic equivalence continuum</s>
** <s>Syntonic–kleismic equivalence continuum</s>
** <s>Syntonic–kleismic equivalence continuum</s>
** [[Syntonic–31 equivalence continuum]]
** [[Syntonic–31 equivalence continuum]]
** [[Diaschismic–gothmic equivalence continuum]]
** [[Diaschismic–gothmic equivalence continuum]]
** <s>Schismic–Pythagorean equivalence continuum</s>
** <s>Schismic–commatic equivalence continuum</s>
** [[Schismic–countercommatic equivalence continuum]]
** [[Schismic–countercommatic equivalence continuum]]
** [[Schismic–Mercator equivalence continuum]]
** [[Schismic–Mercator equivalence continuum]]
** [[Archytas–diatonic equivalence continuum]]
** [[Archytas–limmic equivalence continuum]]
* [[Fractional-octave temperaments]]
* [[Fractional-octave temperaments]]
* [[Subgroup temperaments]]
* [[Subgroup temperaments]]

Latest revision as of 09:26, 21 September 2026

Octave stretch subpages for edo articles

Todo.

Categorical structure for temperament articles

Old structure
  • Category: Temperaments
    • Category: Categories by temperament
      • Category: Meantone
        • Meantone
        • Category: Meantone family
          • Meantone
          • Meantone family
    • Category: Temperament families
      • Meantone family
      • Category: Meantone family
        • Meantone
        • Meantone family
Comment
  • It's a mess.
  • Some pages are in a category as well as its parent category.
  • On other wikis, category pages are sometimes used as catalogs (as in, Meantone family should redirect to Category: Meantone family). For us, this means a drastic change with no clear return.
Proposed new structure
  • Category: Temperaments
    • Category: Categories by temperament
      • Category: Meantone
        • Meantone
        • Meantone family
    • Category: Categories by temperament catalog
      • Category: Meantone family
        • Meantone
        • Meantone family
    • Category: Temperament families
      • Meantone family

Temperament data pages

Notes:

  1. Order:
  2. Only keep minimax tuning and tuning ranges if they don't exist in the dedicated temperament page. Since minimax tunings are based on tonality diamonds, it should explicitly state the odd limit, or a diamond function of ratios.
  3. Relocate algebraic generator to the intro to the temperament.
  4. Remove lattice basis, projection pair, and complexity spectrum, but determine if any of them is worth relocating to their collection pages.
  5. Comma list should be the Tenney-minimal commas sufficient to define the temperament, stated in Normal forms #Normal forms for commas.
  6. For subgroup temperaments, "mapping" becomes "subgroup-val mapping" and "gencom mapping"".
  7. In mapping generators, make sure all the ratios as used in the mapping, including the period, are present.
    • If the subgroup is trivial, simply show "WE"/"CWE", otherwise show "subgroup/inharmonic WE/CWE" instead.
  8. Make sure there are cent symbols after cent values.

Create a family for:

  • Ripple (done)
  • Passion (done)
  • Undim (done)
  • Parakleismic (done)
  • Rank-3 schismic (done)

Dissolve the family for:

  • Maja (done)
  • Quintaleap
  • Quindromeda

Debatable:

  • Smate
  • Bapbo
  • Sycamore
  • Maquila

Progress on existing data pages:

  • Meantone family
  • Didymus rank-3 family
  • Archytas clan
  • Archytas family
  • Father family
  • Trienstonic clan
  • Septisemi temperaments
  • Semaphoresmic clan
  • Semaphoresmic family
  • Jubilismic clan
  • Jubilismic family
  • Mint temperaments
  • Mint family
  • Augmented family
  • Diminished family
  • Passion family
  • Ripple family
  • Dicot family
  • Bug family
  • Mavila family
  • Gamelismic clan
  • Gamelismic family
  • Marvel temperaments
  • Marvel family
  • Starling temperaments
  • Starling family
  • Sensamagic clan
  • Sensamagic family
  • Magic family
  • Sensipent family
  • Keemic temperaments
  • Keemic family
  • Sengic family
  • Schismatic family
  • Kleismic family
  • Kleismic rank-3 family
  • Würschmidt family
  • Unicorn family
  • Immunity family
  • Fifive family
  • Trisedodge family
  • Quintosec family
  • Quintile family
  • Semicomma family
  • Orwellismic temperaments
  • Orwellismic family
  • Hemimean clan
  • Hemimean family
  • Aberschismic temperaments
  • Aberschismic family
  • Porwell temperaments
  • Porwell family
  • Hemimage temperaments
  • Hemimage family
  • Porcupine family
  • Porcupine rank-3 family
  • Tetracot family
  • Diaschismic family
  • Diaschismic rank-3 family
  • Compton family
  • Countercomp family
  • Mercator family
  • Amity family
  • Misty family
  • Undim family
  • Lehmerismic temperaments
  • Kalismic temperaments
  • Ragismic microtemperaments
  • Ragismic family
  • Landscape microtemperaments
  • Landscape family
  • Dimcomp family
  • Canopic clan
  • Quince clan
  • Breedsmic temperaments
  • Breed family
  • Escapade family
  • Gravity family
  • Buzzardsmic clan
  • Stearnsmic clan
  • Cataharry temperaments
  • Cataharry family
  • Varunismic temperaments
  • Triwellismic temperaments
  • Rastmic rank-3 clan
  • Biyatismic clan
  • Ptolemismic clan
  • Valinorsmic clan
  • Pentacircle clan
  • Keenanismic temperaments
  • Keenanismic family
  • Werckismic temperaments
  • Swetismic temperaments
  • Wizmic microtemperaments
  • Metric microtemperaments
  • Horwell temperaments
  • Horwell family
  • Luna family
  • Vulture family
  • Alphatricot family
  • Minortone family
  • Gammic family
  • Vishnu family
  • Septischismic clan
  • Septischismic family
  • Cathartic temperaments
  • Cathartic family
  • Semicathartismic clan
  • Semiporwellismic clan
  • Olympic clan
  • Alphaxenic rank-3 clan
  • Mirwomo temperaments
  • Gariboh clan
  • Gariboh family
  • Octagar temperaments
  • Octagar family
  • Blackwood family
  • Whitewood family
  • Wesley family
  • Quartonic family
  • Mabila family
  • Ditonmic family
  • Greenwoodmic temperaments
  • Avicennmic temperaments
  • Keegic temperaments
  • Very low accuracy temperaments
  • Very high accuracy temperaments
  • Catalog of rank-4 temperaments
  • Equivalence continua
  • Fractional-octave temperaments
  • Subgroup temperaments

Scale trees

6-tone
1L 5s, 2L 4s, 3L 3s, 4L 2s, 5L 1s
7-tone
1L 6s, 2L 5s, 3L 4s, 4L 3s, 5L 2s, 6L 1s
8-tone
1L 7s, 2L 6s, 3L 5s, 4L 4s, 5L 3s, 6L 2s, 7L 1s
9-tone
1L 8s, 2L 7s, 3L 6s, 4L 5s, 5L 4s, 6L 3s, 7L 2s, 8L 1s
10-tone
1L 9s, 2L 8s, 3L 7s, 4L 6s, 5L 5s, 6L 4s, 7L 3s, 8L 2s, 9L 1s
11-tone
1L 10s, 2L 9s, 3L 8s, 4L 7s, 5L 6s, 6L 5s, 7L 4s, 8L 3s, 9L 2s, 10L 1s
12-tone
1L 11s, 2L 10s, 3L 9s, 4L 8s, 5L 7s, 6L 6s, 7L 5s, 8L 4s, 9L 3s, 10L 2s, 11L 1s
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