Quartismic family: Difference between revisions

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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]] subminor third. Examples of edos that temper out the quartisma are [[21edo]], [[22edo]], [[24edo]], [[43edo]], [[44edo]], [[46edo]], [[68edo]] and [[159edo]]. The comma is also a comma in the 2.9.7.11 subgroup.

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]] subminor third. Examples of edos that temper out the quartisma are [[21edo]], [[22edo]], [[24edo]], [[43edo]], [[44edo]], [[46edo]], [[68edo]], [[89edo]], [[90edo]], [[91edo]], [[92edo]] and [[159edo]]. The comma is also a comma in the 2.9.7.11 subgroup.

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.

Revision as of 01:06, 9 September 2020 view source Aura (talk \| contribs) autopatrolled, emailconfirmed 5,920 edits Added 68edo to the list of examples- it passes the monzo test with flying colors ← Older edit		Revision as of 01:21, 9 September 2020 view source Aura (talk \| contribs) autopatrolled, emailconfirmed 5,920 edits A group of four edos in a row- 89, 90, 91 and 92- have been confirmed as quartismic by mathematical calculations, so the relevant information has been added Tag: Visual edit Newer edit →
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	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]] subminor third. Examples of edos that temper out the quartisma are [[21edo]], [[22edo]], [[24edo]], [[43edo]], [[44edo]], [[46edo]], [[68edo]] and [[159edo]]. The comma is also a comma in the 2.9.7.11 subgroup.		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]] subminor third. Examples of edos that temper out the quartisma are [[21edo]], [[22edo]], [[24edo]], [[43edo]], [[44edo]], [[46edo]], [[68edo]], [[89edo]], [[90edo]], [[91edo]], [[92edo]] and [[159edo]]. The comma is also a comma in the 2.9.7.11 subgroup.

	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.		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.