Semicomma family: Difference between revisions
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== Seven limit children == | == Seven limit children == | ||
The second comma of the [[Normal lists #Normal interval list|normal comma list]] defines which 7-limit family member we are looking at. Adding 65536/ | The second comma of the [[Normal lists #Normal interval list|normal comma list]] defines which 7-limit family member we are looking at. Adding 65625/65536 (or 225/224) leads to orwell, but we could also add | ||
* 1029/1024, leading to the 31&159 temperament (triwell) with wedgie {{multival| 21 -9 -7 -63 -70 9 }}, or | * 1029/1024, leading to the 31&159 temperament (triwell) with wedgie {{multival| 21 -9 -7 -63 -70 9 }}, or | ||
* 2401/2400, giving the 31&243 temperament (quadrawell) with wedgie {{multival| 28 -12 1 -84 -77 36 }}, or | * 2401/2400, giving the 31&243 temperament (quadrawell) with wedgie {{multival| 28 -12 1 -84 -77 36 }}, or | ||
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[[Badness]]: 0.088355 | [[Badness]]: 0.088355 | ||
= Rainwell = | |||
The ''rainwell'' temperament (31&265, named by [[User:Xenllium]]) tempers out the mirkwai comma, 16875/16807 and the [[rainy comma]], 2100875/2097152. | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 16875/16807, 2100875/2097152 | |||
[[Mapping]]: [{{val| 1 14 -3 6 }}, {{val| 0 -35 15 -9 }}] | |||
{{Multival|legend=1| 35 -15 9 -105 -84 63 }} | |||
[[POTE generator]]: ~2625/2048 = 425.673 | |||
{{Val list|legend=1| 31, 172, 203, 234, 265, 296 }} | |||
Badness: 0.143488 | |||
== 11-limit == | |||
Subgroup: 2.3.5.7.11 | |||
Comma list: 540/539, 1375/1372, 2100875/2097152 | |||
Mapping: [{{val| 1 14 -3 6 29 }}, {{val| 0 -35 15 -9 -72 }}] | |||
POTE generator: ~2625/2048 = 425.679 | |||
Vals: {{Val list| 31, 172e, 203e, 234, 265, 296, 919bc, 1215bcc, 1511bcc }} | |||
Badness: 0.052774 | |||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||