Semicanousmic clan

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The semicanousmic clan of rank-3 temperaments tempers out the semicanousma, 14641/14580 = [-2 -6 -1 0 4.

Temperaments discussed elsewhere are:

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

Template:Val list

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

Template:Val list

Badness: 0.142 × 10-3

2.3.5.11.17 subgroup

Subgroup: 2.3.5.11.17

Comma list: 1089/1088, 14641/14580

Sval mapping: [1 0 2 1 -4], 0 1 2 2 6], 0 0 -4 -1 -2]]

POTE generators: ~3/2 = 702.3162, ~18/11 = 854.5619

Optimal GPV sequence: Template:Val list

Badness: 0.481 × 10-3

2.3.5.11.17.19 subgroup

Subgroup: 2.3.5.11.17.19

Comma list: 1089/1088, 1216/1215, 1445/1444

Sval mapping: [1 0 2 1 -4 -4], 0 1 2 2 6 7], 0 0 -4 -1 -2 -4]]

POTE generators: ~3/2 = 702.2578, ~18/11 = 854.5595

Optimal GPV sequence: Template:Val list

Badness: 0.403 × 10-3