User:FloraC/Workbench: Difference between revisions
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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 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. | ||
Get a family for: | Get a family for: | ||
| Line 18: | Line 25: | ||
* <s>Quindromeda</s> done | * <s>Quindromeda</s> done | ||
* Parakleismic (many reasonable but unnamed 7-limit extensions) | * Parakleismic (many reasonable but unnamed 7-limit extensions) | ||
* Schismatic rank-3 family ( | * Schismatic rank-3 family (many reasonable but unnamed 7-limit extensions) | ||
Progress: | Progress: | ||
| Line 71: | Line 78: | ||
* [[Hemimean clan]] | * [[Hemimean clan]] | ||
* [[Hemimean family]] | * [[Hemimean family]] | ||
* <s> | * <s>Aberschismic temperaments</s> | ||
* <s> | * <s>Aberschismic family</s> | ||
* | * <s>Porwell temperaments</s> | ||
* | * <s>Porwell family</s> | ||
* | * <s>Hemimage temperaments</s> | ||
* [[Hemimage family]] | * [[Hemimage family]] | ||
* <s>Porcupine family</s> | * <s>Porcupine family</s> | ||
| Line 83: | Line 90: | ||
* <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 104: | Line 110: | ||
* [[Cataharry family]] | * [[Cataharry family]] | ||
* [[Varunismic temperaments]] | * [[Varunismic temperaments]] | ||
* [[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 120: | ||
* <s>Werckismic temperaments</s> | * <s>Werckismic temperaments</s> | ||
* <s>Swetismic temperaments</s> | * <s>Swetismic temperaments</s> | ||
* | * <s>Wizmic microtemperaments</s> | ||
* | * <s>Metric microtemperaments</s> | ||
* [[Horwell temperaments]] | * [[Horwell temperaments]] | ||
* [[Horwell family]] | * [[Horwell family]] | ||
| Line 120: | Line 127: | ||
* <s>Vulture family</s> | * <s>Vulture family</s> | ||
* <s>Alphatricot family</s> | * <s>Alphatricot family</s> | ||
* | * <s>Minortone family</s> | ||
* [[Gammic family]] | * [[Gammic family]] | ||
* | * <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> | ||
| Line 138: | Line 145: | ||
* <s>Whitewood family</s> | * <s>Whitewood family</s> | ||
* [[Wesley family]] | * [[Wesley family]] | ||
* [[Quartonic family]] | |||
* <s>Mabila family</s> | * <s>Mabila family</s> | ||
* [[Maquila family]] | * [[Maquila family]] | ||
| Line 144: | Line 152: | ||
* [[Greenwoodmic temperaments]] | * [[Greenwoodmic temperaments]] | ||
* <s>Avicennmic temperaments</s> | * <s>Avicennmic temperaments</s> | ||
* [[Keegic temperaments]] | |||
* <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 162: | ||
** [[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 16:54, 19 June 2026
Temperament 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.
Get a family for:
Ripple (3 different 7-limit extensions)doneSmate (2 different 7-limit extensions)donePassion (4 different 7-limit extensions, 3 strong and 1 weak)doneUndimdoneQuintaleapdoneQuindromedadone- Parakleismic (many reasonable but unnamed 7-limit extensions)
- Schismatic rank-3 family (many reasonable but unnamed 7-limit extensions)
Progress:
Meantone familyDidymus rank-3 familyArchytas clanArchytas familyFather familyTrienstonic clanSeptisemi temperamentsSemaphoresmic clanSemaphoresmic familyJubilismic clanJubilismic familyMint temperamentsMint familyAugmented familyDiminished familyPassion familyRipple familyDicot familyBug familyMavila familySmate 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 family
Aberschismic temperamentsAberschismic familyPorwell temperamentsPorwell familyHemimage temperaments- Hemimage family
Porcupine 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 clan- Cataharry temperaments
- Cataharry family
- Varunismic temperaments
- Triwellismic temperaments
Rastmic rank-3 clanBiyatismic clanPtolemismic clanValinorsmic clanPentacircle clanKeenanismic temperamentsKeenanismic familyWerckismic temperamentsSwetismic temperamentsWizmic microtemperamentsMetric microtemperaments- Horwell temperaments
- Horwell family
- Luna family
Vulture familyAlphatricot familyMinortone family- Gammic family
Vishnu familyGarischismic clanGarischismic familyCanousmic temperamentsCanou familySemicanousmic clanSemiporwellismic clanOlympic clanAlphaxenic rank-3 clanMirwomo temperamentsGariboh clanGariboh familyOctagar temperamentsOctagar familyWhitewood family- Wesley family
- Quartonic family
Mabila family- Maquila family
- Maja family
- Ditonmic family
- Greenwoodmic temperaments
Avicennmic temperaments- Keegic temperaments
Very 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