User:FloraC/Workbench: Difference between revisions
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* <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> | ||
| Line 104: | Line 104: | ||
* [[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> | ||
Revision as of 15:24, 3 June 2026
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 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"".
- If the subgroup is trivial, simply show "WE"/"CWE", otherwise show "subgroup/inharmonic WE/CWE" instead.
- Cent symbols.
- 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.
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 (perhaps)
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
Hemifamity temperamentsHemifamity 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 familyMirkwai clan- Mirkwai family
Quince 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 microtemperaments- Metric microtemperaments
- Horwell temperaments
- Horwell family
- Luna family
Vulture familyAlphatricot family- Minortonic family
- Gammic family
- Vishnuzmic family
Garischismic clanGarischismic familyCanousmic temperaments- Canou family
- Semicanousmic clan
- Semiporwellismic clan
Olympic clanAlphaxenic rank-3 clanMirwomo temperamentsGariboh clanGariboh familyOctagar temperamentsOctagar familyWhitewood family- Wesley 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