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 is the difference between a stack of six [[33/32]] quartertones and one [[77/64]] minor third, and it has a value of approximately 0.50619 cents- meaning it is an [[unnoticeable comma]]. Examples of edos that temper out the quartisma are [[22edo]], [[24edo]], [[46edo]] and [[159edo]]. | The '''quartisma''' is an 11-limit comma with a ratio of '''117440512/117406179''' and a [[monzo]] of {{monzo|24 -6 0 1 -5}}. It is the difference between a stack of six [[33/32]] quartertones and one [[77/64]] minor third, and it has a value of approximately 0.50619 cents- meaning it is an [[unnoticeable comma]]. 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. | 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. | ||
[[Category:quartismic]] | [[Category:quartismic]] | ||
[[Category:rank_2]] | [[Category:rank_2]] | ||
[[Category:temperament]] | [[Category:temperament]] | ||
Revision as of 02:42, 8 September 2020
The quartisma is an 11-limit comma with a ratio of 117440512/117406179 and a monzo of [24 -6 0 1 -5⟩. It is the difference between a stack of six 33/32 quartertones and one 77/64 minor third, and it has a value of approximately 0.50619 cents- meaning it is an unnoticeable comma. 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.