Semicanousmic clan: Difference between revisions
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Name: no-7 semicanousmic > deuteromere |
Correct mapping and generators |
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[[Comma list]]: 14641/14580 | [[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 }}] | [[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 | Mapping generators: ~2, ~3, ~18/11, ~7 | ||
[[POTE generator]]s: ~3/2 = 702.2503, ~18/11 = 854.5421, ~7/4 = 968.6866 | |||
{{Val list|legend=1| 14c, 17c, 24, 31, 63, 80, 87, 111, 118, 198, 212, 292, 323, 410, 851e }} | {{Val list|legend=1| 14c, 17c, 24, 31, 63, 80, 87, 111, 118, 198, 212, 292, 323, 410, 851e }} | ||
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[[Comma list]]: 14641/14580 | [[Comma list]]: 14641/14580 | ||
[[Sval]] [[mapping]]: [{{val| 1 0 2 1 }}, {{val| 0 1 2 2 }}, {{val| 0 0 4 1 }}] | [[Sval]] [[mapping]]: [{{val| 1 0 2 1 }}, {{val| 0 1 2 2 }}, {{val| 0 0 -4 -1 }}] | ||
Sval mapping generators: ~2, ~3, ~18/11 | |||
[[POTE generator]]s: ~3/2 = 702.2503, ~11 | [[POTE generator]]s: ~3/2 = 702.2503, ~18/11 = 854.5421 | ||
{{Val list|legend=1| 7, 17c, 24, 31, 56, 73, 80, 87, 118, 205, 323, 528e }} | {{Val list|legend=1| 7, 17c, 24, 31, 56, 73, 80, 87, 118, 205, 323, 528e }} | ||
Revision as of 15:39, 8 December 2021
This is a collection of rank-3 temperaments tempering out the semicanousma, 14641/14580 = [-2 -6 -1 0 4⟩.
Temperaments discussed elsewhere are:
- Urania, {81/80, 121/120} → Didymus rank three family
- Triglav, {3025/3024, 3136/3125} → Hemimean family
- Semicanou, {9801/9800, 14641/14580} → Canou family
Considered below is deuteromere, the no-7 subgroup temperament, but we can begin by looking at the rank-4 temperament.
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]]
Mapping generators: ~2, ~3, ~18/11, ~7
POTE generators: ~3/2 = 702.2503, ~18/11 = 854.5421, ~7/4 = 968.6866
Badness: 0.351 × 10-6
Deuteromere
Subgroup: 2.3.5.11
Comma list: 14641/14580
Sval mapping: [⟨1 0 2 1], ⟨0 1 2 2], ⟨0 0 -4 -1]]
Sval mapping generators: ~2, ~3, ~18/11
POTE generators: ~3/2 = 702.2503, ~18/11 = 854.5421
Badness: 0.142 × 10-3