Semiporwellismic clan: Difference between revisions
m Removing from Category:Regular temperament theory using Cat-a-lot |
Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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Mapping generators: ~2, ~3, ~128/99, ~7 | Mapping generators: ~2, ~3, ~128/99, ~7 | ||
{{ | {{Optimal ET sequence|legend=1| 19, 22, 41, 65d, 68, 84, 87, 111, 130, 152, 239, 282, 328, 369, 521e, 1370bcdeee, 1411bcdeee, 1609bccdeee }} | ||
[[Badness]]: 0.219 × 10<sup>-6</sup> | [[Badness]]: 0.219 × 10<sup>-6</sup> | ||
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Sval mapping generators: ~2, ~3, ~128/99 | Sval mapping generators: ~2, ~3, ~128/99 | ||
{{ | {{Optimal ET sequence|legend=1| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }} | ||
[[Badness]]: 0.0922 × 10<sup>-3</sup> | [[Badness]]: 0.0922 × 10<sup>-3</sup> | ||
Revision as of 18:19, 7 May 2023
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, 896/891} → Sensamagic family
- Kapo, {3025/3024, 5120/5103} → Hemifamity family
- Semiporwell, {6144/6125, 9801/9800} → Porwell family
Considered below is the no-7 subgroup temperament, but we can begin by looking at the rank-4 temperament.
Semiporwellismic
Subgroup: 2.3.5.7.11
Comma list: 16384/16335
Mapping: [⟨1 0 0 0 7], ⟨0 1 1 0 -2], ⟨0 0 2 0 -1], ⟨0 0 0 1 0]]
Mapping generators: ~2, ~3, ~128/99, ~7
Optimal ET sequence: 19, 22, 41, 65d, 68, 84, 87, 111, 130, 152, 239, 282, 328, 369, 521e, 1370bcdeee, 1411bcdeee, 1609bccdeee
Badness: 0.219 × 10-6
No-7 semiporwellismic
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 ET sequence: 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee
Badness: 0.0922 × 10-3