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, other possible extensions are listed here.
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 a temperament clan consisting of those temperaments in which both the schisma and the quartisma are tempered out.
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: