Biyatismic clan: Difference between revisions
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* ''[[Bisector]]'' (+245/243) → [[Sensamagic family #Bisector|Sensamagic family]] | * ''[[Bisector]]'' (+245/243) → [[Sensamagic family #Bisector|Sensamagic family]] | ||
Considered below are zeus, artemis, oxpecker, big brother, 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, kahoupokane, big brother, 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 (Sintel): 1.02 | Badness (Sintel): 1.02 | ||
== Kahoupokane == | |||
Named by [[Tristan Bay]] in 2025, Kahoupokane tempers out [[5120/5103]] and may be described as the {{nowrap| 29 & 46 & 53 }} temperament. | |||
[[Subgroup]]: 2.3.5.7.11 | |||
[[Comma list]]: 121/120, 5120/5103 | |||
{{Mapping|legend=1| 1 0 1 11 2 | 0 1 1 -5 1 | 0 0 -2 -2 -1 }} | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1200.1911{{c}}, ~3/2 = 703.1412{{c}}, ~11/10 = 158.1068{{c}} | |||
: [[error map]]: {{val| +0.191 +1.377 +0.996 +0.401 -5.710 }} | |||
* [[CWE]]: ~2 = 1200.000{{c}}, ~3/2 = 703.0417{{c}}, ~11/10 = 157.9917{{c}} | |||
: error map: {{val| 0.000 +1.087 +0.744 -0.018 -6.268 }} | |||
{{Optimal ET sequence|legend=1| 7, 17c, 24d, 29, 46, 53, 82e, 99 }} | |||
[[Badness]] (Sintel): 2.73 | |||
=== 13-limit === | |||
Subgroup: 2.3.5.7.11.13 | |||
Comma list: 121/120, 169/168, 352/351 | |||
Mapping: {{mapping| 1 0 1 11 2 7 | 0 1 1 -5 1 -2 | 0 0 -2 -2 -1 -1 }} | |||
Optimal tunings: | |||
* WE: ~2 = 1200.4435{{c}}, ~3/2 = 703.1443{{c}}, ~11/10 = 158.4176{{c}} | |||
* CWE: ~2 = 1200.0000{{c}}, ~3/2 = 702.9013{{c}}, ~11/10 = 158.1657{{c}} | |||
{{Optimal ET sequence|legend=0| 7, 17c, 24d, 29, 46, 53, 82e, 99, 181eef }} | |||
Badness (Sintel): 1.27 | |||
== Big brother == | == Big brother == | ||