Biyatismic clan: Difference between revisions
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* ''[[Urania]]'' (+81/80) → [[Didymus rank three family #Urania|Didymus rank-3 family]] | * ''[[Urania]]'' (+81/80) → [[Didymus rank three family #Urania|Didymus rank-3 family]] | ||
* ''[[Big brother]]'' (+99/98) → [[Nuwell family #big Brother|Nuwell family]] | * ''[[Big brother]]'' (+99/98) → [[Nuwell family #big Brother|Nuwell family]] | ||
* ''[[Bisector]]'' (+245/243) → [[Sensamagic family #Bisector|Sensamagic family]] | * ''[[Bisector]]'' (+245/243) → [[Sensamagic family #Bisector|Sensamagic family]] | ||
Considered below are zeus, aphrodite, and the no-7 subgroup temperament, protomere. For the rank-4 biyatismic temperament, see [[Rank-4 temperament #Biyatismic (121/120)]]. | Considered below are zeus, artemis, oxpecker, aphrodite, and the no-7 subgroup temperament, protomere. For the rank-4 biyatismic temperament, see [[Rank-4 temperament #Biyatismic (121/120)]]. | ||
== Protomere == | == Protomere == | ||
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Badness: 0.808 × 10<sup>-3</sup> | Badness: 0.808 × 10<sup>-3</sup> | ||
== Artemis == | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 121/120, 225/224 | |||
{{Mapping|legend=1| 1 0 1 -3 2 | 0 1 1 4 1 | 0 0 -2 -4 -1 }} | |||
[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~3/2 = 699.8719, ~11/10 = 158.3232 | |||
{{Optimal ET sequence|legend=1| 9, 15d, 16d, 20, 22, 31, 53, 82e, 84e, 113e, 144ee }} | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 105/104, 121/120, 196/195 | |||
Mapping: {{mapping| 1 0 1 -3 2 -5 | 0 1 1 4 1 6 | 0 0 -2 -4 -1 -6 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~3/2 = 698.7090, ~11/10 = 158.7117 | |||
{{Optimal ET sequence|legend=1| 9, 20, 22f, 29, 31 }} | |||
=== Diana === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 121/120, 225/224, 275/273 | |||
Mapping: {{mapping| 1 0 1 -3 2 7 | 0 1 1 4 1 -2 | 0 0 -2 -4 -1 -1 }} | |||
Optimal tuning (POTE): ~2 = 1\1, ~3/2 = 700.9789, ~11/10 = 159.0048 | |||
{{Optimal ET sequence|legend=1| 22, 29, 31, 53, 82e, 84e, 113e, 166ee }} | |||
== Oxpecker == | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 121/120, 126/125 | |||
{{Mapping|legend=1| 1 0 1 2 2 | 0 1 1 1 1 | 0 0 -2 -6 -1 }} | |||
{{Optimal ET sequence|legend=1| 7d, 8d, 15, 23de, 24d, 31, 46, 77 }} | |||
[[Badness]]: 0.699 × 10<sup>-3</sup> | |||
=== Woodpecker === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 66/65, 121/120, 126/125 | |||
Mapping: {{mapping| 1 0 1 2 2 2 | 0 1 1 1 1 1 | 0 0 -2 -6 -1 -1 }} | |||
{{Optimal ET sequence|legend=1| 7d, 8d, 15, 23de, 24d, 31 }} | |||
Badness: 1.093 × 10<sup>-3</sup> | |||
== Aphrodite == | == Aphrodite == | ||