Quartismic family: Difference between revisions

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The '''quartisma''' is an 11-limit comma with a ratio of '''117440512/117406179''' and a [[monzo]] of {{monzo|24 -6 0 1 -5}}. It has a value of approximately 0.50619 cents- meaning it is an [[unnoticeable comma]]- and it is the difference between a stack of ~~six~~ [[33/32]] quartertones and one [[77/64]] minor third. Examples of edos that temper out the quartisma are [[22edo]], [[24edo]], [[46edo]] and [[159edo]].

The '''quartisma''' or '''Saquinlu-azo comma''' is an 11-limit comma with a ratio of '''117440512/117406179''' and a [[monzo]] of {{monzo|24 -6 0 1 -5}}. It has a value of approximately 0.50619 cents- meaning it is an [[unnoticeable comma]]- and it is the difference between a stack of five [[33/32]] quartertones and one [[7/6]] minor third. Examples of edos that temper out the quartisma are [[22edo]], [[24edo]], [[46edo]] and [[159edo]].

The rank-3 '''quartismic temperament''' is the rank-3 2.3.7.11 temperament that tempers out this comma; equivalently it is the 22&24&159 temperament. This page will also list various rank-2 temperaments that temper out this comma and thus belong in the quartismic family.

The rank-3 '''quartismic or Saquinlu-azo temperament''' is the rank-3 2.3.7.11 temperament that tempers out this comma; equivalently it is the 22&24&159 temperament. This page will also list various rank-2 temperaments that temper out this comma and thus belong in the quartismic family.

No-five map: [<1 0 1 5], <0 1 1 -1], <0 0 5 1]]

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-The '''quartisma''' is an 11-limit comma with a ratio of '''117440512/117406179''' and a [[monzo]] of {{monzo|24 -6 0 1 -5}}.  It has a value of approximately 0.50619 cents- meaning it is an [[unnoticeable comma]]- and it is the difference between a stack of six [[33/32]] quartertones and one [[77/64]] minor third.  Examples of edos that temper out the quartisma are [[22edo]], [[24edo]], [[46edo]] and [[159edo]].
+The '''quartisma''' or '''Saquinlu-azo comma''' is an 11-limit comma with a ratio of '''117440512/117406179''' and a [[monzo]] of {{monzo|24 -6 0 1 -5}}.  It has a value of approximately 0.50619 cents- meaning it is an [[unnoticeable comma]]- and it is the difference between a stack of five [[33/32]] quartertones and one [[7/6]] minor third.  Examples of edos that temper out the quartisma are [[22edo]], [[24edo]], [[46edo]] and [[159edo]].
-The rank-3 '''quartismic temperament''' is the rank-3 2.3.7.11 temperament that tempers out this comma; equivalently it is the 22&24&159 temperament. This page will also list various rank-2 temperaments that temper out this comma and thus belong in the quartismic family.
+The rank-3 '''quartismic or Saquinlu-azo temperament''' is the rank-3 2.3.7.11 temperament that tempers out this comma; equivalently it is the 22&24&159 temperament. This page will also list various rank-2 temperaments that temper out this comma and thus belong in the quartismic family.
 No-five map: [<1 0 1 5], <0 1 1 -1], <0 0 5 1]]