Semiporwellismic clan: Difference between revisions
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{{Technical data page}} | |||
The '''semiporwellismic clan''' of [[Rank-3 temperament|rank-3]] [[temperament]]s [[Tempering out|tempers out]] the [[semiporwellisma]], 16384/16335 = {{monzo| 14 -3 -1 0 -2 }}. | The '''semiporwellismic clan''' of [[Rank-3 temperament|rank-3]] [[temperament]]s [[Tempering out|tempers out]] the [[semiporwellisma]], 16384/16335 = {{monzo| 14 -3 -1 0 -2 }}. | ||
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* ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell|Porwell family]] | * ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell|Porwell family]] | ||
Considered below is the no-7 subgroup temperament. For the rank-4 temperament, see [[Rank-4 temperament #Semiporwellismic (16384/16335)]]. | 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 | [[Subgroup]]: 2.3.5.11 | ||
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: sval mapping generators: ~2, ~3, ~128/99 | : sval mapping generators: ~2, ~3, ~128/99 | ||
[[Optimal tuning]] ([[CTE]]) ~2 = 1\1, ~3/2 = 702.4701, ~128/99 = 442.1061 | |||
{{Optimal ET sequence|legend=1| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }} | {{Optimal ET sequence|legend=1| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }} | ||
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[[Category:Temperament clans]] | [[Category:Temperament clans]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Semiporwellismic clan| ]] <!-- main article --> | [[Category:Semiporwellismic clan| ]] <!-- main article --> | ||
[[Category:Semiporwellismic| ]] <!-- key article --> | [[Category:Semiporwellismic| ]] <!-- key article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||
Latest revision as of 00:28, 24 June 2025
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
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