Semiporwellismic clan: Difference between revisions

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The '''semiporwellismic clan''' of rank-3 ~~temperaments~~ 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 }}.

Temperaments discussed elsewhere are:

* [[Sensamagic]]~~, {~~385/384, 896/891} → [[Sensamagic family #Undecimal sensamagic|Sensamagic family]]

* [[Sensamagic]] (+385/384 or 896/891) → [[Sensamagic family #Undecimal sensamagic|Sensamagic family]]

* ''[[Kapo]]''~~, {~~3025/3024, 5120/5103} → [[Hemifamity family #Kapo|Hemifamity family]]

* ''[[Kapo]]'' (+3025/3024 or 5120/5103) → [[Hemifamity family #Kapo|Hemifamity family]]

* ''[[Semiporwell]]''~~, {~~6144/6125, 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~~, but we can begin by looking at~~ the rank-4 temperament.

Considered below is semiporwellic, the no-7 subgroup temperament. For the rank-4 temperament, see [[Rank-4 temperament #Semiporwellismic (16384/16335)]].

== ~~Semiporwellismic~~ ==

== Semiporwellic ==

Subgroup: 2.3.5.7.11

[[Subgroup]]: 2.3.5.11

[[Comma list]]: 16384/16335

~~[[Mapping]]: [~~{{~~val~~| 1 0 0 0 7 ~~}}, {{val~~| 0 1 1 0 -2 ~~}}, {{val~~| 0 0 2 0 -1 }}~~, {{val| 0 0 0 1 0 }}]~~

~~Mapping~~ generators: ~2, ~3, ~128/99~~, ~7~~

: sval mapping generators: ~2, ~3, ~128/99

~~{{Val list|legend~~=1~~| 19~~, 22, ~~41, 65d, 68, 84, 87, 111, 130, 152, 239, 282, 328, 369, 521e, 1370bcdeee, 1411bcdeee, 1609bccdeee }}~~

[[Optimal tuning]] ([[CTE]]) ~2 = 1\1, ~3/2 = 702.4701, ~128/99 = 442.1061

~~[[Badness]]: 0.219 × 10<sup>-6</sup>~~

{{Optimal ET sequence|legend=1| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }}

~~== No-7 semiporwellismic ==~~

~~Subgroup: 2.3.5.11~~

~~[[Comma list]]: 16384/16335~~

~~[[Sval]] [[mapping]]: [~~{{~~val| 1 0 0 0 7 }}, {{val| 0 1 1 0 -2 }}, {{val| 0 0 2 0 -1 }}]~~

~~Sval mapping generators: ~2, ~3, ~128/99~~

~~{{Val list~~|legend=1| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }}

[[Badness]]: 0.0922 × 10<sup>-3</sup>

~~[[Category:Regular temperament theory]]~~

[[Category:Temperament clans]]

[[Category:Pages with mostly numerical content]]

[[Category:Semiporwellismic clan| ]]

[[Category:Semiporwellismic| ]]

[[Category:Rank 3]]

@@ Line 1: / Line 1: @@
-The '''semiporwellismic clan''' of rank-3 temperaments tempers out the [[semiporwellisma]], 16384/16335 = {{monzo| 14 -3 -1 0 -2 }}.
+{{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 }}.
 Temperaments discussed elsewhere are:
-* [[Sensamagic]], {385/384, 896/891} → [[Sensamagic family #Undecimal sensamagic|Sensamagic family]]
+* [[Sensamagic]] (+385/384 or 896/891) → [[Sensamagic family #Undecimal sensamagic|Sensamagic family]]
-* ''[[Kapo]]'', {3025/3024, 5120/5103} → [[Hemifamity family #Kapo|Hemifamity family]]
+* ''[[Kapo]]'' (+3025/3024 or 5120/5103) → [[Hemifamity family #Kapo|Hemifamity family]]
-* ''[[Semiporwell]]'', {6144/6125, 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, but we can begin by looking at the rank-4 temperament.
+Considered below is semiporwellic, the no-7 subgroup temperament. For the rank-4 temperament, see [[Rank-4 temperament #Semiporwellismic (16384/16335)]].
-== Semiporwellismic ==
+== Semiporwellic ==
-Subgroup: 2.3.5.7.11
+[[Subgroup]]: 2.3.5.11
 [[Comma list]]: 16384/16335
-[[Mapping]]: [{{val| 1 0 0 0 7 }}, {{val| 0 1 1 0 -2 }}, {{val| 0 0 2 0 -1 }}, {{val| 0 0 0 1 0 }}]
+{{Mapping|legend=2| 1 0 0 0 7 | 0 1 1 0 -2 | 0 0 2 0 -1 }}
-Mapping generators: ~2, ~3, ~128/99, ~7
+: sval mapping generators: ~2, ~3, ~128/99
-{{Val list|legend=1| 19, 22, 41, 65d, 68, 84, 87, 111, 130, 152, 239, 282, 328, 369, 521e, 1370bcdeee, 1411bcdeee, 1609bccdeee }}
+[[Optimal tuning]] ([[CTE]]) ~2 = 1\1, ~3/2 = 702.4701, ~128/99 = 442.1061
-[[Badness]]: 0.219 × 10<sup>-6</sup>
+{{Optimal ET sequence|legend=1| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }}
-== No-7 semiporwellismic ==
-Subgroup: 2.3.5.11
-[[Comma list]]: 16384/16335
-[[Sval]] [[mapping]]: [{{val| 1 0 0 0 7 }}, {{val| 0 1 1 0 -2 }}, {{val| 0 0 2 0 -1 }}]
-Sval mapping generators: ~2, ~3, ~128/99
-{{Val list|legend=1| 19, 22, 41, 46, 65, 87, 152, 369, 521e, 1194bcee, 1305bcee, 1457bceee, 1609bcceee, 1674bcceee, 1826bcceeee }}
 [[Badness]]: 0.0922 × 10<sup>-3</sup>
-[[Category:Regular temperament theory]]
 [[Category:Temperament clans]]
+[[Category:Pages with mostly numerical content]]
 [[Category:Semiporwellismic clan| ]] <!-- main article -->
+[[Category:Semiporwellismic| ]] <!-- key article -->
 [[Category:Rank 3]]