Quartonic family: Difference between revisions
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* [[2401/2400]] gives tertiseptisix (27 & 212) with generator ~875/729, three of them give ~12/7, and four give ~250/243 with octave reduction. | * [[2401/2400]] gives tertiseptisix (27 & 212) with generator ~875/729, three of them give ~12/7, and four give ~250/243 with octave reduction. | ||
* [[250047/250000]] gives triquart (27 & 159) with 1/3-octave period. | * [[250047/250000]] gives triquart (27 & 159) with 1/3-octave period. | ||
* [[390625/388962 | * [[390625/388962]] gives quartiquart (80 & 212) with 1/4-octave period. | ||
* [[16875/16807]] gives quintiquart (80 & 265) with 1/5-octave period. | * [[16875/16807]] gives quintiquart (80 & 265) with 1/5-octave period. | ||
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Badness (Sintel): 2.60 | Badness (Sintel): 2.60 | ||
== | == Triquart == | ||
[[ | Named by [[Xenllium]] in 2023, triquart tempers out the [[landscape comma]] and may be described as the 27 & 159 temperament. | ||
[[ | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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== Quartiquart == | == Quartiquart == | ||
Named by [[Xenllium]] in 2023, quartiquart tempers out the [[dimcomp comma]] and may be described as the 80 & 212 temperament. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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Badness (Sintel): 1.36 | Badness (Sintel): 1.36 | ||
== Tertiseptisix == | |||
Named by [[Xenllium]] in 2023, tertiseptisix tempers out the [[breedsma]] and may be described as the 27 & 212 temperament. | |||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: 2401/2400, 390625000/387420489 | |||
{{Mapping|legend=1| 1 -31 -51 -32 | 0 44 72 47 }} | |||
: mapping generators: ~2, ~1458/875 | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.0156{{c}}, ~1458/875 = 888.7028{{c}} | |||
: [[error map]]: {{val| +0.016 +0.485 -0.507 -0.293 }} | |||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~1458/875 = 888.6915{{c}} | |||
: error map: {{val| 0.000 +0.472 -0.523 -0.324 }} | |||
{{Optimal ET sequence|legend=1| 27, …, 212, 239, 451 }} | |||
[[Badness]] (Sintel): 3.95 | |||
== Quintiquart == | == Quintiquart == | ||
Named by [[Xenllium]] in 2023, quintiquart tempers out the [[canopic comma]] and may be described as the 80 & 265 temperament. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||