Semiporwellismic clan: Difference between revisions
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{{Technical data page}} | {{Technical data page}} | ||
The '''semiporwellismic clan''' of [[Rank-3 temperament|rank-3]] [[temperament]]s [[Tempering out|tempers out]] the [[semiporwellisma]] | The '''semiporwellismic clan''' of [[Rank-3 temperament|rank-3]] [[temperament]]s [[Tempering out|tempers out]] the [[semiporwellisma]] ({{monzo|legend=1| 14 -3 -1 0 -2 }}, [[ratio]]: 16384/16335). | ||
Temperaments discussed elsewhere are: | Temperaments discussed elsewhere are: | ||
* [[Sensamagic]] (+385/384 or 896/891) → [[Sensamagic family #Undecimal sensamagic|Sensamagic family]] | * [[Sensamagic]] (+385/384 or 896/891) → [[Sensamagic family #Undecimal sensamagic|Sensamagic family]] | ||
* ''[[Kapo]]'' (+3025/3024 or 5120/5103) → [[ | * ''[[Kapo]]'' (+3025/3024 or 5120/5103) → [[Aberschismic family #Kapo|Aberschismic family]] | ||
* ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell|Porwell family]] | * ''[[Semiporwell]]'' (+6144/6125 or 9801/9800) → [[Porwell family #Semiporwell|Porwell family]] | ||
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{{Mapping|legend=2| 1 0 0 0 7 | 0 1 1 0 -2 | 0 0 2 0 -1 }} | {{Mapping|legend=2| 1 0 0 0 7 | 0 1 1 0 -2 | 0 0 2 0 -1 }} | ||
: mapping generators: ~2, ~3, ~128/99 | |||
: | [[Optimal tuning]]s: | ||
* [[WE]]: ~2 = 1199.7329{{c}}, ~3/2 = 702.3657{{c}}, ~128/99 = 442.1589{{c}} | |||
[[ | : [[error map]]: {{val| -0.267 +0.144 +0.103 +0.456 }} | ||
* [[CWE]]: ~2 = 1200.0000{{c}}, ~3/2 = 702.5107{{c}}, ~128/99 = 442.2243{{c}} | |||
: error map: {{val| 0.000 +0.556 +0.646 +1.436 }} | |||
{{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 }} | ||
[[Badness]]: 0. | [[Badness]] (Sintel): 0.761 | ||
[[Category:Temperament clans]] | [[Category:Temperament clans]] | ||
[[Category:Semiporwellismic clan| ]] <!-- main article --> | [[Category:Semiporwellismic clan| ]] <!-- main article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||
Revision as of 09:41, 17 June 2026
- 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 (monzo: [14 -3 -1 0 -2⟩, ratio: 16384/16335).
Temperaments discussed elsewhere are:
- Sensamagic (+385/384 or 896/891) → Sensamagic family
- Kapo (+3025/3024 or 5120/5103) → Aberschismic 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
Subgroup-val mapping: [⟨1 0 0 0 7], ⟨0 1 1 0 -2], ⟨0 0 2 0 -1]]
- mapping generators: ~2, ~3, ~128/99
- WE: ~2 = 1199.7329 ¢, ~3/2 = 702.3657 ¢, ~128/99 = 442.1589 ¢
- error map: ⟨-0.267 +0.144 +0.103 +0.456]
- CWE: ~2 = 1200.0000 ¢, ~3/2 = 702.5107 ¢, ~128/99 = 442.2243 ¢
- error map: ⟨0.000 +0.556 +0.646 +1.436]
Optimal ET sequence: 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee
Badness (Sintel): 0.761