Quartismic family: Difference between revisions

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The '''quartisma''' is the ratio 117440512/117406179 (in [[monzo]] form, {{monzo|24 -6 0 1 -5}}), or the difference between six [[33/32]] quarter tones and one [[77/64]] minor third.
The '''quartisma''' is the ratio 117440512/117406179 (in [[monzo]] form, {{monzo|24 -6 0 1 -5}}), or the difference between six [[33/32]] quarter tones and one [[77/64]] 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. The page will also list various rank-2 temperaments that temper out this comma and thus belong in the quartismic family.
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 page will also list various rank-2 temperaments that temper out this comma and thus belong in the quartismic family.

Revision as of 01:26, 8 September 2020

The quartisma is the ratio 117440512/117406179 (in monzo form, [24 -6 0 1 -5), or the difference between six 33/32 quarter tones and one 77/64 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. The page will also list various rank-2 temperaments that temper out this comma and thus belong in the quartismic family.