User:FloraC/Workbench: Difference between revisions

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..."
 
mNo edit summary
 
(7 intermediate revisions by the same user not shown)
Line 1: Line 1:
== Temperament pages ==
== Temperament 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.  


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 (perhaps)
* 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>Hemifamity temperaments</s>
* <s>Aberschismic temperaments</s>
* <s>Hemifamity family</s>
* <s>Aberschismic family</s>
* [[Porwell temperaments]]
* <s>Porwell temperaments</s>
* [[Porwell family]]
* <s>Porwell family</s>
* [[Hemimage temperaments]]
* <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>
* [[Amity family]]
* <s>Amity family</s>
* <s>Misty family</s>
* <s>Misty family</s>
* <s>Undim family</s>
* <s>Undim family</s>
* [[Lehmerismic temperaments]]
* <s>Lehmerismic temperaments</s>
* [[Kalismic temperaments]]
* <s>Kalismic temperaments</s>
* [[Ragismic microtemperaments]]
* <s>Ragismic microtemperaments</s>
* [[Ragismic family]]
* <s>Ragismic family</s>
* [[Landscape microtemperaments]]
* <s>Landscape microtemperaments</s>
* [[Landscape family]]
* <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 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>
* [[Wizmic microtemperaments]]
* <s>Wizmic microtemperaments</s>
* [[Metric microtemperaments]]
* <s>Metric microtemperaments</s>
* [[Horwell temperaments]]
* [[Horwell temperaments]]
* [[Horwell family]]
* [[Horwell family]]
Line 125: Line 132:
* <s>Garischismic clan</s>
* <s>Garischismic clan</s>
* <s>Garischismic family</s>
* <s>Garischismic family</s>
* [[Canousmic temperaments]]
* <s>Canousmic temperaments</s>
* [[Canou family]]
* <s>Canou family</s>
* [[Semicanousmic clan]]
* <s>Semicanousmic 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>
Line 144: Line 151:
* [[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]]
* [[Catalog of rank-4 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 161:
** [[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]]