Semiporwellismic clan: Difference between revisions
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Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
Update keys; -semiporwellismic (addressed in rank-4 temperaments) |
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Temperaments discussed elsewhere are: | Temperaments discussed elsewhere are: | ||
* [[Sensamagic]] | * [[Sensamagic]] (+385/384 or 896/891) → [[Sensamagic family #Undecimal sensamagic|Sensamagic family]] | ||
* ''[[Kapo]]'' | * ''[[Kapo]]'' (+3025/3024 or 5120/5103) → [[Hemifamity family #Kapo|Hemifamity family]] | ||
* ''[[Semiporwell]]'' | * ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell|Porwell family]] | ||
Considered below is the no-7 subgroup temperament | Considered below is the no-7 subgroup temperament. For the rank-4 temperament, see [[Rank-4 temperament #Semiporwellismic (16384/16335)]]. | ||
[[ | |||
== No-7 semiporwellismic == | == No-7 semiporwellismic == | ||
Subgroup: 2.3.5.11 | [[Subgroup]]: 2.3.5.11 | ||
[[Comma list]]: 16384/16335 | [[Comma list]]: 16384/16335 | ||
{{Mapping|legend=2| 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|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:Semiporwellismic clan| ]] <!-- main article --> | [[Category:Semiporwellismic clan| ]] <!-- main article --> | ||
[[Category:Semiporwellismic| ]] <!-- key article --> | |||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||
Revision as of 08:37, 14 September 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 or 896/891) → Sensamagic family
- Kapo (+3025/3024 or 5120/5103) → Hemifamity family
- Semiporwell (+6144/6125 or 9801/9800) → Porwell family
Considered below is the no-7 subgroup temperament. For the rank-4 temperament, see Rank-4 temperament #Semiporwellismic (16384/16335).
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