Quartismic family: Difference between revisions
Added 44edo to the list of examples of EDOs that temper out the quartisma- it's surprising that none of the computer checks run by Flora have caught this one in light of the mathematical confirmation |
Removed 46edo from the lists of EDOs that temper out the quartisma due to it failing the monzo test with a result of "-1" despite seeming to have the telltale patent val relations- it's surprising that Flora's computer checks failed to catch this. |
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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 | 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]] and [[159edo]]. | ||
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. | ||
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No-five POTE generators: ~3/2 = 701.9826, ~33/32 = 53.3748 | No-five POTE generators: ~3/2 = 701.9826, ~33/32 = 53.3748 | ||
No-five edos: {{EDOs|21, 22, 24, 43 | No-five edos: {{EDOs|21, 22, 24, 43, 89, 135, 359, 494, 629, 742, 877, 1012, 1506, 2248, 2383, 2518, 7419}} | ||
The following scale tree has been found: | The following scale tree has been found: | ||