Semicanousmic clan: Difference between revisions
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The '''semicanousmic clan''' of rank-3 temperaments | The '''semicanousmic clan''' of rank-3 temperaments tempers out the [[semicanousma]], 14641/14580 = {{monzo| -2 -6 -1 0 4 }}. | ||
Temperaments discussed elsewhere are: | Temperaments discussed elsewhere are: | ||
Revision as of 09:44, 1 March 2022
The semicanousmic clan of rank-3 temperaments tempers 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