Quartismic family: Difference between revisions

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Badness: 0.274 × 10<sup>-6</sup>

== No-~~five Children~~ ==

== 13-limit ==

There are some temperaments in the quartismic family in which ~~only the~~ quartisma is tempered out, but without any ~~regard to the~~ five-limit.

Commas:

POTE generator:

Map:

EDOs:

Badness:

== 17-limit ==

Commas:

POTE generator:

Map:

EDOs:

Badness:

= Quartismatic =

There are some temperaments in the quartismic family in which quartisma is tempered out, but without any sort of five-limit representation. This particular temperament is the parent temperament of all such no-fives children, and is referred to as '''Saquinlu-azo temperament''' in color notation.

Comma: 117440512/117406179

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* [https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(106.71461627796054%2C%201200.0)%2C%205%7C5&data=106.714616%0A213.429233%0A320.143849%0A426.858465%0A533.573081%0A666.426919%0A773.141535%0A879.856151%0A986.570767%0A1093.285384%0A1200.000000&freq=440&midi=69&vert=9&horiz=1&colors=&waveform=triangle&ampenv=organ Rank 2 scale (106.71461627796054, 1200.0), 5|5]

== 5-limit Representation ==

== 13-limit ==

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.

Commas:

POTE generator:

Map:

EDOs:

Badness:

== 17-limit ==

Commas:

POTE generator:

Map:

EDOs:

Badness:

== Additional Options for 5-limit Representation ==

Among quartismic temperaments, there are a number of other options for 5-limit representation depending on 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===

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[[Category:Quartismic]]

[[Category:Microtemperament]]

[[Category:Rank 2]]

[[Category:family]]

[[Category:Rank 4]]

[[Category:Temperament]]

@@ Line 16: / Line 16: @@
 Badness: 0.274 × 10<sup>-6</sup>
-== No-five Children ==
+== 13-limit ==
-There are some temperaments in the quartismic family in which only the quartisma is tempered out, but without any regard to the five-limit.
+Commas:
+POTE generator:
+Map:
+EDOs:
+Badness:
+== 17-limit ==
+Commas:
+POTE generator:
+Map:
+EDOs:
+Badness:
+= Quartismatic =
+There are some temperaments in the quartismic family in which quartisma is tempered out, but without any sort of five-limit representation.  This particular temperament is the parent temperament of all such no-fives children, and is referred to as '''Saquinlu-azo temperament''' in color notation.
 Comma: 117440512/117406179
@@ Line 35: / Line 57: @@
 * [https://sevish.com/scaleworkshop/?name=Rank%202%20scale%20(106.71461627796054%2C%201200.0)%2C%205%7C5&data=106.714616%0A213.429233%0A320.143849%0A426.858465%0A533.573081%0A666.426919%0A773.141535%0A879.856151%0A986.570767%0A1093.285384%0A1200.000000&freq=440&midi=69&vert=9&horiz=1&colors=&waveform=triangle&ampenv=organ Rank 2 scale (106.71461627796054, 1200.0), 5|5]
-== 5-limit Representation ==
+== 13-limit ==
-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.
+Commas:
+POTE generator:
+Map:
+EDOs:
+Badness:
+== 17-limit ==
+Commas:
+POTE generator:
+Map:
+EDOs:
+Badness:
+== Additional Options for 5-limit Representation ==
+Among quartismic temperaments, there are a number of other options for 5-limit representation depending on 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===
@@ Line 132: / Line 176: @@
 [[Category:Quartismic]]
 [[Category:Microtemperament]]
-[[Category:Rank 2]]
+[[Category:family]]
+[[Category:Rank 4]]
 [[Category:Temperament]]