Biyatismic clan: Difference between revisions
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Move aphrodite here since biyatisma is a better gene |
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* ''[[Artemis]]'', {121/120, 225/224} → [[Marvel family #Artemis|Marvel family]] | * ''[[Artemis]]'', {121/120, 225/224} → [[Marvel family #Artemis|Marvel family]] | ||
* ''[[Bisector]]'', {121/120, 245/243} → [[Sensamagic family #Bisector|Sensamagic family]] | * ''[[Bisector]]'', {121/120, 245/243} → [[Sensamagic family #Bisector|Sensamagic family]] | ||
Considered below is protomere, the no-7 subgroup temperament, but we can begin by looking at the rank-4 temperament. | Considered below is protomere, the no-7 subgroup temperament, but we can begin by looking at the rank-4 temperament. | ||
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[[Badness]]: 0.0297 × 10<sup>-3</sup> | [[Badness]]: 0.0297 × 10<sup>-3</sup> | ||
== Aphrodite == | |||
Aphrodite tempers out the squalentine comma, 64827/64000, in the 7-limit. Its generators can be taken to be 2, 3, and 21/20, and it equates (21/20)<sup>3</sup> with 8/7. | |||
=== 7-limit (squalentine) === | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 64827/64000 | |||
[[Mapping]]: [{{val| 1 0 1 3 }}, {{val| 0 1 1 0 }}, {{val| 0 0 4 3 }}] | |||
Mapping generators: ~2, ~3, ~21/20 | |||
{{Val list|legend=1| 14c, 15, 29, 31, 46, 60, 77, 91, 122, 137d, 168d }} | |||
[[Badness]]: 0.943 × 10<sup>-3</sup> | |||
[[Projection pair]]s: 5 320000/64827 7 64000/9261 to 2.3.7/5 | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
[[Comma list]]: 121/120, 441/440 | |||
[[Mapping]]: [{{val| 1 0 1 3 2 }}, {{val| 0 1 1 0 1 }}, {{val| 0 0 4 3 2 }}] | |||
Mapping generators: ~2, ~3, ~22/21 | |||
{{Val list|legend=1| 14c, 15, 29, 31, 46, 60e, 77, 91e, 137de, 168dee }} | |||
[[Badness]]: 0.583 × 10<sup>-3</sup> | |||
==== 13-limit ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 121/120, 351/350, 441/440 | |||
Mapping: [{{val| 1 0 1 3 2 6 }}, {{val| 0 1 1 0 1 -1 }}, {{val| 0 0 4 3 2 11 }}] | |||
Vals: {{Val list| 14cf, 31, 45ef, 46, 77, 122ee, 137def, 168deef }} | |||
Badness: 1.456 × 10<sup>-3</sup> | |||
==== Eros ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 121/120, 196/195, 352/351 | |||
Mapping: [{{val| 1 0 1 3 2 7 }}, {{val| 0 1 1 0 1 -2 }}, {{val| 0 0 4 3 2 2 }}] | |||
Vals: {{Val list| 17c, 29, 31, 46, 60e, 77, 106de, 183dee }} | |||
Badness: 1.150 × 10<sup>-3</sup> | |||
==== Inanna ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 105/104, 121/120, 275/273 | |||
Mapping: [{{val| 1 0 1 3 2 1 }}, {{val| 0 1 1 0 1 2 }}, {{val| 0 0 4 3 2 7 }}] | |||
Vals: {{Val list| 14cf, 15, 29, 31, 45ef, 60e }} | |||
Badness: 1.077 × 10<sup>-3</sup> | |||
==== Ishtar ==== | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 91/90, 121/120, 441/440 | |||
Mapping: [{{val| 1 0 1 3 2 -1 }}, {{val| 0 1 1 0 1 3 }}, {{val| 0 0 4 3 2 1 }}] | |||
Vals: {{Val list| 14cf, 15, 17c, 29, 31f, 46, 106deff, 121def }} | |||
Badness: 1.151 × 10<sup>-3</sup> | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] |