Semiporwellismic clan
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The semiporwellismic clan of rank-3 temperaments tempers out the semiporwellisma, 16384/16335 = [14 -3 -1 0 -2⟩.
Temperaments discussed elsewhere are:
- Sensamagic (+385/384 or 896/891) → Sensamagic family
- Kapo (+3025/3024 or 5120/5103) → Hemifamity family
- Semiporwell (+6144/6125 or 9801/9800) → Porwell family
Considered below is semiporwellic, the no-7 subgroup temperament. For the rank-4 temperament, see Rank-4 temperament #Semiporwellismic (16384/16335).
Semiporwellic
Subgroup: 2.3.5.11
Comma list: 16384/16335
Sval mapping: [⟨1 0 0 0 7], ⟨0 1 1 0 -2], ⟨0 0 2 0 -1]]
- sval mapping generators: ~2, ~3, ~128/99
Optimal tuning (CTE) ~2 = 1\1, ~3/2 = 702.4701, ~128/99 = 442.1061
Optimal ET sequence: 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee
Badness: 0.0922 × 10-3