Semicathartismic clan: Difference between revisions
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POTE generators: ~3/2 = 702.2503, ~11/9 = 345.4579, ~7/4 = 968.6866 | POTE generators: ~3/2 = 702.2503, ~11/9 = 345.4579, ~7/4 = 968.6866 | ||
{{EDOs|legend=1| 7, 24, 31, 63, 80, 87, 111, 118, 198, 212, 292, 323, 410}} | |||
Badness: 0.3506 × 10<sup>-6</sup> | Badness: 0.3506 × 10<sup>-6</sup> | ||
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POTE generators: ~3/2 = 702.2503, ~11/9 = 345.4579 | POTE generators: ~3/2 = 702.2503, ~11/9 = 345.4579 | ||
{{EDOs|legend=1| 7, 24, 31, 56, 73, 80, 87, 118, 205, 323 }} | |||
Badness: 0.1425 × 10<sup>-3</sup> | Badness: 0.1425 × 10<sup>-3</sup> | ||
[[Category:Theory]] | |||
[[Category:Temperament]] | [[Category:Temperament]] | ||
[[Category:Semicanousmic]] | [[Category:Semicanousmic]] | ||
[[Category:Rank 3]] | |||
Revision as of 06:11, 12 January 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 triglav and semicanou.
Comma: 14641/14580
Map: [<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
EDOs: 7, 24, 31, 63, 80, 87, 111, 118, 198, 212, 292, 323, 410
Badness: 0.3506 × 10-6
No-seven semicanousmic
Comma: 14641/14580
Map: [<1 0 2 0 1|, <0 1 2 0 2|, <0 0 4 0 1|]
POTE generators: ~3/2 = 702.2503, ~11/9 = 345.4579
EDOs: 7, 24, 31, 56, 73, 80, 87, 118, 205, 323
Badness: 0.1425 × 10-3