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Created page with "== Temperament pages == Notes: # Order: subgroup, comma list, mapping (mapping generators) / subgroup-val mapping & gencom mapping, lattice basis, optimal tunings (WE and CWE), minimax tuning, tuning ranges, algebraic generator (?), optimal ET sequence, badness, complexity spectrum, and others. # Comma list should be the Tenney-minimal commas sufficient to define the temperament, stated in Normal forms #Normal forms for..." |
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== Temperament pages == | == Temperament data pages == | ||
Notes: | Notes: | ||
# Order: [[ | # 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]]. | ||
# 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. | ||
# | # Make sure there are cent symbols after cent values. | ||
Create a family for: | |||
* <s>Ripple | * <s>Ripple</s> (done) | ||
* <s>Passion</s> (done) | |||
* <s>Passion | * <s>Undim</s> (done) | ||
* <s>Undim</s> done | * Parakleismic | ||
* Rank-3 schismic | |||
* Parakleismic | |||
* | |||
Progress: | Dissolve the family for: | ||
* Quintaleap | |||
* Quindromeda | |||
Debatable: | |||
* Smate | |||
* Bapbo | |||
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 53: | ||
* <s>Bug family</s> | * <s>Bug family</s> | ||
* <s>Mavila family</s> | * <s>Mavila family</s> | ||
* <s>Gamelismic clan</s> | * <s>Gamelismic clan</s> | ||
* <s>Gamelismic family</s> | * <s>Gamelismic family</s> | ||
| Line 59: | Line 70: | ||
* <s>Kleismic rank-3 family</s> | * <s>Kleismic rank-3 family</s> | ||
* [[Würschmidt family]] | * [[Würschmidt family]] | ||
* | * <s>Unicorn family</s> | ||
* [[Immunity family]] | * [[Immunity family]] | ||
* [[Fifive family]] | * [[Fifive family]] | ||
| Line 70: | Line 81: | ||
* <s>Orwellismic family</s> | * <s>Orwellismic family</s> | ||
* [[Hemimean clan]] | * [[Hemimean clan]] | ||
* | * <s>Hemimean family</s> | ||
* <s> | * <s>Aberschismic temperaments</s> | ||
* <s> | * <s>Aberschismic family</s> | ||
* | * <s>Porwell temperaments</s> | ||
* | * <s>Porwell family</s> | ||
* | * <s>Hemimage temperaments</s> | ||
* | * <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 94: | ||
* <s>Diaschismic rank-3 family</s> | * <s>Diaschismic rank-3 family</s> | ||
* <s>Compton family</s> | * <s>Compton family</s> | ||
* | * <s>Amity family</s> | ||
* <s>Misty family</s> | * <s>Misty family</s> | ||
* <s>Undim family</s> | * <s>Undim family</s> | ||
* | * <s>Lehmerismic temperaments</s> | ||
* | * <s>Kalismic temperaments</s> | ||
* | * <s>Ragismic microtemperaments</s> | ||
* | * <s>Ragismic family</s> | ||
* | * <s>Landscape microtemperaments</s> | ||
* | * <s>Landscape family</s> | ||
* <s>Dimcomp family</s> | * <s>Dimcomp family</s> | ||
* | * <s>Canopic clan</s> | ||
* <s>Quince clan</s> | * <s>Quince clan</s> | ||
* <s>Breedsmic temperaments</s> | * <s>Breedsmic temperaments</s> | ||
| Line 101: | Line 111: | ||
* <s>Gravity family</s> | * <s>Gravity family</s> | ||
* <s>Buzzardsmic clan</s> | * <s>Buzzardsmic clan</s> | ||
* | * <s>Cataharry temperaments</s> | ||
* | * <s>Cataharry family</s> | ||
* [[ | * <s>Varunismic temperaments</s> | ||
* [[Triwellismic temperaments]] | |||
* <s>Rastmic rank-3 clan</s> | * <s>Rastmic rank-3 clan</s> | ||
* <s>Biyatismic clan</s> | * <s>Biyatismic clan</s> | ||
| Line 113: | Line 124: | ||
* <s>Werckismic temperaments</s> | * <s>Werckismic temperaments</s> | ||
* <s>Swetismic temperaments</s> | * <s>Swetismic temperaments</s> | ||
* | * <s>Wizmic microtemperaments</s> | ||
* | * <s>Metric microtemperaments</s> | ||
* | * <s>Horwell temperaments</s> | ||
* | * <s>Horwell family</s> | ||
* | * <s>Luna family</s> | ||
* <s>Vulture family</s> | * <s>Vulture family</s> | ||
* <s>Alphatricot family</s> | * <s>Alphatricot family</s> | ||
* | * <s>Minortone family</s> | ||
* | * <s>Gammic family</s> | ||
* | * <s>Vishnu family</s> | ||
* <s>Garischismic clan</s> | * <s>Garischismic clan</s> | ||
* <s>Garischismic family</s> | * <s>Garischismic family</s> | ||
* | * <s>Canousmic temperaments</s> | ||
* | * <s>Canou family</s> | ||
* | * <s>Semicanousmic clan</s> | ||
* | * <s>Semiporwellismic clan</s> | ||
* <s>Olympic clan</s> | * <s>Olympic clan</s> | ||
* | * <s>Alphaxenic rank-3 clan</s> | ||
* | * <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> | ||
* | * <s>Wesley family</s> | ||
* <s>Quartonic family</s> | |||
* <s>Mabila family</s> | * <s>Mabila family</s> | ||
* [[Maquila family]] | * [[Maquila family]] | ||
* [[Maja family]] | * [[Maja family]] | ||
* [[Ditonmic family]] | * [[Ditonmic family]] | ||
* | * <s>Greenwoodmic temperaments</s> | ||
* <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> | ||
* [[Equivalence continuum|Equivalence continua]] | * [[Equivalence continuum|Equivalence continua]] | ||
** <s>Syntonic–diatonic equivalence continuum</s> | ** <s>Syntonic–diatonic equivalence continuum</s> | ||
| Line 153: | Line 167: | ||
** [[Syntonic–31 equivalence continuum]] | ** [[Syntonic–31 equivalence continuum]] | ||
** [[Diaschismic–gothmic equivalence continuum]] | ** [[Diaschismic–gothmic 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]] | ||
Latest revision as of 20:16, 4 August 2026
Temperament data pages
Notes:
- Order:
- Subgroup
- Comma list
- Mapping (mapping generators) / subgroup-val mapping & gencom mapping
- Optimal tunings (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.
- 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.
- Make sure there are cent symbols after cent values.
Create a family for:
Ripple(done)Passion(done)Undim(done)- Parakleismic
- Rank-3 schismic
Dissolve the family for:
- Quintaleap
- Quindromeda
Debatable:
- Smate
- Bapbo
Progress on existing data pages:
Meantone familyDidymus rank-3 familyArchytas clanArchytas familyFather familyTrienstonic clanSeptisemi temperamentsSemaphoresmic clanSemaphoresmic familyJubilismic clanJubilismic familyMint temperamentsMint familyAugmented familyDiminished familyPassion familyRipple familyDicot familyBug familyMavila familyGamelismic clanGamelismic familyMarvel temperamentsMarvel familyStarling temperamentsStarling familySensamagic clanSensamagic familyMagic familySensipent familyKeemic temperamentsKeemic familySengic familySchismatic familyKleismic familyKleismic rank-3 family- Würschmidt family
Unicorn family- Immunity family
- Fifive family
- Trisedodge family
- Quintosec family
- Quintile family
- Sycamore family
Semicomma familyOrwellismic temperamentsOrwellismic family- Hemimean clan
Hemimean familyAberschismic temperamentsAberschismic familyPorwell temperamentsPorwell familyHemimage temperamentsHemimage familyPorcupine familyPorcupine rank-3 familyTetracot familyDiaschismic familyDiaschismic rank-3 familyCompton familyAmity familyMisty familyUndim familyLehmerismic temperamentsKalismic temperamentsRagismic microtemperamentsRagismic familyLandscape microtemperamentsLandscape familyDimcomp familyCanopic clanQuince clanBreedsmic temperamentsBreed family- Escapade family
Gravity familyBuzzardsmic clanCataharry temperamentsCataharry familyVarunismic temperaments- Triwellismic temperaments
Rastmic rank-3 clanBiyatismic clanPtolemismic clanValinorsmic clanPentacircle clanKeenanismic temperamentsKeenanismic familyWerckismic temperamentsSwetismic temperamentsWizmic microtemperamentsMetric microtemperamentsHorwell temperamentsHorwell familyLuna familyVulture familyAlphatricot familyMinortone familyGammic familyVishnu familyGarischismic clanGarischismic familyCanousmic temperamentsCanou familySemicanousmic clanSemiporwellismic clanOlympic clanAlphaxenic rank-3 clanMirwomo temperamentsGariboh clanGariboh familyOctagar temperamentsOctagar familyBlackwood familyWhitewood familyWesley familyQuartonic familyMabila family- Maquila family
- Maja family
- Ditonmic family
Greenwoodmic temperamentsAvicennmic temperamentsKeegic temperamentsVery low accuracy temperaments- Very high accuracy temperaments
Catalog of rank-4 temperaments- Equivalence continua
Syntonic–diatonic equivalence continuumSyntonic–chromatic equivalence continuumSyntonic–kleismic equivalence continuum- Syntonic–31 equivalence continuum
- Diaschismic–gothmic equivalence continuum
Schismic–commatic equivalence continuum- Schismic–countercommatic equivalence continuum
- Schismic–Mercator equivalence continuum
- Archytas–diatonic equivalence continuum
- 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