Kleismic rank three family: Difference between revisions
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The '''kleismic rank-3 family''' of temperaments tempers out the kleisma, [[15625/15552]]. If nothing else is tempered out in the 7-limit, we have a [[planar temperament]]. With an 11-limit comma we get an 11-limit temperament, and so forth. | |||
== Kleismic | == Kleismic == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
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{{Val list|legend=1| 15, 19, 34d, 49, 53, 72, 140, 212 }} | {{Val list|legend=1| 15, 19, 34d, 49, 53, 72, 140, 212 }} | ||
== Enlil | == Enlil == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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[[Badness]]: 0.798 × 10<sup>-3</sup> | [[Badness]]: 0.798 × 10<sup>-3</sup> | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Scales: [[enlil19_13]] | Scales: [[enlil19_13]] | ||
== Enki | == Enki == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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[[Badness]]: 1.09 × 10<sup>-3</sup> | [[Badness]]: 1.09 × 10<sup>-3</sup> | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Badness: 0.874 × 10<sup>-3</sup> | Badness: 0.874 × 10<sup>-3</sup> | ||
== Isimud | == Isimud == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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[[Badness]]: 3.690 × 10<sup>-3</sup> | [[Badness]]: 3.690 × 10<sup>-3</sup> | ||
=== 13-limit | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Temperament family]] | [[Category:Temperament family]] | ||
[[Category:Kleismic]] | [[Category:Kleismic rank-3 family| ]] <!-- main article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||