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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* <s>Hemifamity temperaments</s> | * <s>Hemifamity temperaments</s> | ||
* <s>Hemifamity family</s> | * <s>Hemifamity family</s> | ||
* | * <s>Porwell temperaments</s> | ||
* [[Porwell family]] | * [[Porwell family]] | ||
* [[Hemimage temperaments]] | * [[Hemimage temperaments]] | ||
| Line 86: | Line 86: | ||
* <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> | ||
* [[Ragismic family]] | * [[Ragismic family]] | ||
* [[Landscape microtemperaments]] | * [[Landscape microtemperaments]] | ||
* | * <s>Landscape family</s> | ||
* <s>Dimcomp family</s> | * <s>Dimcomp family</s> | ||
* [[Mirkwai clan]] | * [[Mirkwai clan]] | ||
| Line 146: | Line 146: | ||
* <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> | ||
Revision as of 15:11, 20 April 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 temperaments- Porwell family
- Hemimage temperaments
- Hemimage family
Porcupine familyPorcupine rank-3 familyTetracot familyDiaschismic familyDiaschismic rank-3 familyCompton family- Amity family
Misty familyUndim familyLehmerismic temperamentsKalismic temperamentsRagismic microtemperaments- Ragismic family
- Landscape microtemperaments
Landscape familyDimcomp family- Mirkwai clan
- Mirkwai family
Quince clanBreedsmic temperamentsBreed family- Escapade family
Gravity familyBuzzardsmic clan- Cataharry temperaments
- Cataharry family
- Varunismic temperaments
Rastmic rank-3 clanBiyatismic clanPtolemismic clanValinorsmic clanPentacircle clanKeenanismic temperamentsKeenanismic familyWerckismic temperamentsSwetismic temperaments- Wizmic microtemperaments
- Metric microtemperaments
- Horwell temperaments
- Horwell family
- Luna family
Vulture familyAlphatricot family- Minortonic family
- Gammic family
- Vishnuzmic family
Garischismic clanGarischismic family- Canousmic temperaments
- Canou family
- Semicanousmic clan
- Semiporwellismic clan
Olympic clan- Alphaxenic rank-3 clan
- Mirwomo temperaments
Gariboh clanGariboh familyOctagar temperamentsOctagar familyWhitewood family- Wesley family
Mabila family- Maquila family
- Maja family
- Ditonmic family
- Greenwoodmic temperaments
Avicennmic 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–Pythagorean 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