Quartisma: Difference between revisions

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~~The '''~~quartisma~~''' or '''~~Saquinlu-azo comma''' ~~is a comma with a ratio of~~ '''~~117440512/117406179''' and a [[monzo]] of {{monzo|24 -6 0 1 -5}}. It~~ is an [[unnoticeable comma]] ~~of the~~ [[11-limit]] with a value of approximately 0.~~50619 cents~~. ~~The quartisma~~ is significant on account of it being the ~~difference~~ between a stack of five [[33/32]] quartertones and one [[7/6]] subminor third in ~~Just Intonation~~. Tempering it out leads to '''quartismic ~~temperament~~''' or '''~~Saquinlu-azo temperament~~'''. For a list of ~~such~~ temperaments, see [[~~Quartismic family~~]].

{{Infobox interval

| Ratio = 117440512/117406179

| Name = quartisma

| Color name = Saquinlu-azo comma

| Comma = yes

}}

The '''quartisma''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma with a [[ratio]] of '''117440512/117406179''' and a value of approximately 0.5 [[cent]]s. It is significant on account of it being the interval between a stack of five [[33/32]] quartertones and one [[7/6]] subminor third in [[just intonation]] – this significance in relation to quartertones being the source of its name.

== Temperaments ==

[[Tempering out]] this comma in the 11-limit leads to the '''quartismic''' temperament (→ [[Catalog of rank-4 temperaments #Quartismic (117440512/117406179)]]), or in the [[2.3.7.11 subgroup]], the '''quartic''' temperament. For a list of temperaments that temper it out, see [[The Quartercache]].

== Etymology ==

This comma was named by [[Aura]] in 2020.

~~[[Category:11-limit]]~~

~~[[Category:Unnoticeable comma]]~~

~~[[Category:Ratio]]~~

[[Category:Quartismic]]

[[Category:Commas named for the intervals they stack]]

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-The '''quartisma''' or '''Saquinlu-azo comma''' is a comma with a ratio of '''117440512/117406179''' and a [[monzo]] of {{monzo|24 -6 0 1 -5}}.  It is an [[unnoticeable comma]] of the [[11-limit]] with a value of approximately 0.50619 cents.  The quartisma is significant on account of it being the difference between a stack of five [[33/32]] quartertones and one [[7/6]] subminor third in Just Intonation.  Tempering it out leads to '''quartismic temperament''' or '''Saquinlu-azo temperament'''.  For a list of such temperaments, see [[Quartismic family]].
+{{Infobox interval
+| Ratio = 117440512/117406179
+| Name = quartisma
+| Color name = Saquinlu-azo comma
+| Comma = yes
+}}
+The '''quartisma''' is an [[unnoticeable comma|unnoticeable]] [[11-limit]] comma with a [[ratio]] of '''117440512/117406179''' and a value of approximately 0.5 [[cent]]s. It is significant on account of it being the interval between a stack of five [[33/32]] quartertones and one [[7/6]] subminor third in [[just intonation]] – this significance in relation to quartertones being the source of its name.
+== Temperaments ==
+[[Tempering out]] this comma in the 11-limit leads to the '''quartismic''' temperament (→ [[Catalog of rank-4 temperaments #Quartismic (117440512/117406179)]]), or in the [[2.3.7.11 subgroup]], the '''quartic''' temperament. For a list of temperaments that temper it out, see [[The Quartercache]].
+== Etymology ==
+This comma was named by [[Aura]] in 2020.
-[[Category:11-limit]]
-[[Category:Unnoticeable comma]]
-[[Category:Ratio]]
 [[Category:Quartismic]]
+[[Category:Commas named for the intervals they stack]]