Canopic family: Difference between revisions
m Removing from Category:Regular temperament theory using Cat-a-lot |
m Correct mapping and update keys and categories |
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The '''mirkwai family''' of [[planar temperament]]s tempers out the [[mirkwai comma]], 16875/16807. | The '''mirkwai family''' of [[planar temperament]]s tempers out the [[mirkwai comma]], 16875/16807. | ||
== Mirkwai | == Mirkwai == | ||
Subgroup: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
[[Comma list]]: 16875/16807 (mirkwai) | [[Comma list]]: 16875/16807 (mirkwai) | ||
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[[Projection pair]]s: 5 84375/16807 7 16875/2401 to 2.3.7/5 | [[Projection pair]]s: 5 84375/16807 7 16875/2401 to 2.3.7/5 | ||
== Indra | == Indra == | ||
Subgroup: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||
[[Comma list]]: 540/539, 1375/1372 | [[Comma list]]: 540/539, 1375/1372 | ||
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Scales: [[indra31]] | Scales: [[indra31]] | ||
=== Shibi | === Shibi === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Comma list: 540/539, 729/728, 1375/1372 | Comma list: 540/539, 729/728, 1375/1372 | ||
Mapping: [{{val| 1 0 0 0 2 | Mapping: [{{val| 1 0 0 0 2 -3 }}, {{val| 0 1 3 3 0 3 }}, {{val| 0 0 -5 -4 4 }}] | ||
Optimal GPV sequence: {{Val list| 31f, 39df, 41, 72, 111, 152f, 183, 224, 631d, 855d }} | |||
Badness: 0.721 × 10<sup>-3</sup> | Badness: 0.721 × 10<sup>-3</sup> | ||
=== Yajna | === Yajna === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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: [[Eigenmonzo]]s (unchanged intervals): 2, 14/13, 4/3 | : [[Eigenmonzo]]s (unchanged intervals): 2, 14/13, 4/3 | ||
Optimal GPV sequence: {{Val list| 31, 49f, 72, 103, 121, 152f, 193, 224 }} | |||
Badness: 0.700 × 10<sup>-3</sup> | Badness: 0.700 × 10<sup>-3</sup> | ||
=== Vibhu | === Vibhu === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Mapping: [{{val| 1 0 0 0 2 1 }}, {{val| 0 1 3 3 0 6 }}, {{val| 0 0 -5 -4 3 -14 }}] | Mapping: [{{val| 1 0 0 0 2 1 }}, {{val| 0 1 3 3 0 6 }}, {{val| 0 0 -5 -4 3 -14 }}] | ||
Optimal GPV sequence: {{Val list| 31, 64cdf, 72, 103, 111, 152, 175f, 183, 469f }} | |||
Badness: 0.826 × 10<sup>-3</sup> | Badness: 0.826 × 10<sup>-3</sup> | ||
=== Vish | === Vish === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
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Mapping: [{{val| 1 0 0 0 2 2 }}, {{val| 0 1 3 3 0 -2 }}, {{val| 0 0 -5 -4 3 10 }}] | Mapping: [{{val| 1 0 0 0 2 2 }}, {{val| 0 1 3 3 0 -2 }}, {{val| 0 0 -5 -4 3 10 }}] | ||
Optimal GPV sequence: {{Val list| 31f, 41, 72, 121, 193 }} | |||
Badness: 0.930 × 10<sup>-3</sup> | Badness: 0.930 × 10<sup>-3</sup> | ||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category:Mirkwai]] | [[Category:Mirkwai family]] <!-- main article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||