Semicanousmic clan: Difference between revisions
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These are rank-3 temperaments tempering out the [[semicanousma]], 14641/14580 = {{monzo|-2 -6 -1 0 4}}, but we can begin by looking at the rank-4 temperament. | These are rank-3 temperaments tempering out the [[semicanousma]], 14641/14580 = {{monzo|-2 -6 -1 0 4}}, but we can begin by looking at the rank-4 temperament. | ||
Temperaments not discussed here include [[Hemimean family #Triglav| | Temperaments not discussed here include: | ||
* [[Didymus rank three family #Urania|Urania]] | |||
* [[Hemimean family #Triglav|Triglav]] | |||
* [[Canou family #Semicanou|Semicanou]] | |||
= Semicanousmic = | |||
Subgroup: 2.3.5.7.11 | |||
[[Comma list]]: 14641/14580 | |||
[[Mapping]]: [{{val| 1 0 2 0 1 }}, {{val| 0 1 2 0 2 }}, {{val| 0 0 4 0 1 }}, {{val| 0 0 0 1 0 }}] | |||
[[POTE generator]]s: ~3/2 = 702.2503, ~11/9 = 345.4579, ~7/4 = 968.6866 | |||
{{Val list|legend=1| 7, 24, 31, 63, 80, 87, 111, 118, 198, 212, 292, 323, 410, 851e }} | |||
[[Badness]]: 0.3506 × 10<sup>-6</sup> | |||
= No-7 semicanousmic = | |||
Subgroup: 2.3.5.11 | |||
[[Comma list]]: 14641/14580 | |||
{{ | [[Sval]] [[mapping]]: [{{val| 1 0 2 1 }}, {{val| 0 1 2 2 }}, {{val| 0 0 4 1 }}] | ||
[[POTE generator]]s: ~3/2 = 702.2503, ~11/9 = 345.4579 | |||
[[Category: | {{Val list|legend=1| 7, 24, 31, 56, 73, 80, 87, 118, 205, 323, 528e }} | ||
[[Category:Temperament]] | |||
[[Badness]]: 0.1425 × 10<sup>-3</sup> | |||
[[Category:Regular temperament theory]] | |||
[[Category:Temperament clan]] | |||
[[Category:Semicanousmic]] | [[Category:Semicanousmic]] | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||
Revision as of 09:59, 10 May 2021
These are rank-3 temperaments tempering out the semicanousma, 14641/14580 = [-2 -6 -1 0 4⟩, but we can begin by looking at the rank-4 temperament.
Temperaments not discussed here include:
Semicanousmic
Subgroup: 2.3.5.7.11
Comma list: 14641/14580
Mapping: [⟨1 0 2 0 1], ⟨0 1 2 0 2], ⟨0 0 4 0 1], ⟨0 0 0 1 0]]
POTE generators: ~3/2 = 702.2503, ~11/9 = 345.4579, ~7/4 = 968.6866
Badness: 0.3506 × 10-6
No-7 semicanousmic
Subgroup: 2.3.5.11
Comma list: 14641/14580
Sval mapping: [⟨1 0 2 1], ⟨0 1 2 2], ⟨0 0 4 1]]
POTE generators: ~3/2 = 702.2503, ~11/9 = 345.4579
Badness: 0.1425 × 10-3