Quartismic family: Difference between revisions
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== Full 11-limit extensions == | == Full 11-limit extensions == | ||
Among quartismic temperaments, there are several options for 5-limit representation depending which among the various 5-limit commas is tempered out. Adding the [[schisma]] to the list of tempered-out commas results in some form of Altierran temperament | Among quartismic temperaments, there are several options for 5-limit representation depending which among the various 5-limit commas is tempered out. Adding the [[schisma]] to the list of tempered-out commas results in some form of Altierran temperament. Adding the [[81/80|meantone comma]] results in some form of Meanquarter temperament. Adding the [[Magic_comma|magic comma]] results in some form of Coin temperament. Adding the [[15625/15552|kleisma]] results in some form of Kleirtismic temperament- the "kleir-" in "Kleirtismic" is pronounced the same as "Clair". Adding the [[Tetracot_comma|tetracot comma]] results in some form of Doublefour temperament. Other possible extensions are listed here. | ||
===Shrutar extension=== | ===Shrutar extension=== | ||
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= Altierran = | = Altierran = | ||
The Altierran clan is | The Altierran clan is the temperament clan consisting of those temperaments in which both the schisma and the quartisma are tempered out. | ||
Commas: 32805/32768, 117440512/117406179 | Commas: 32805/32768, 117440512/117406179 | ||
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[[Category:Rank 2]] | [[Category:Rank 2]] | ||
[[Category:Temperament]] | [[Category:Temperament]] | ||
= Meanquarter = | |||
The Meanquarter clan is the temperament clan consisting of those temperaments in which both the meantone comma and the quartisma are tempered out. | |||
Commas: 81/80, 117440512/117406179 | |||
POTE generators: | |||
Mapping generators: | |||
Map: | |||
EDOs: | |||
Badness: | |||
= Coin = | |||
The Coin clan is the temperament clan consisting of those temperaments in which both the magic comma and the quartisma are tempered out. | |||
Commas: 3125/3072, 117440512/117406179 | |||
POTE generators: | |||
Mapping generators: | |||
Map: | |||
EDOs: | |||
Badness: | |||
= Kleirtismic = | |||
The Kleirtismic clan is the temperament clan consisting of those temperaments in which both the kleisma and the quartisma are tempered out. | |||
Commas: 15625/15552, 117440512/117406179 | |||
POTE generators: | |||
Mapping generators: | |||
Map: | |||
EDOs: | |||
Badness: | |||
= Doublefour = | |||
The Doublefour clan is the temperament clan consisting of those temperaments in which both the tetracot comma and the quartisma are tempered out. | |||
Commas: 20000/19683, 117440512/117406179 | |||
POTE generators: | |||
Mapping generators: | |||
Map: | |||
EDOs: | |||
Badness: |