Semiporwellismic clan: Difference between revisions

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

~~== Semiporwellismic ==~~

~~Subgroup: 2.3.5.7.11~~

[[~~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~~

~~{{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>~~

== No-7 semiporwellismic ==

Subgroup: 2.3.5.11

[[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

: 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 }}

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[[Category:Temperament clans]]

[[Category:Semiporwellismic clan| ]]

[[Category:Semiporwellismic| ]]

[[Category:Rank 3]]

@@ Line 2: / Line 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 the no-7 subgroup temperament. For the rank-4 temperament, see [[Rank-4 temperament #Semiporwellismic (16384/16335)]].
-== Semiporwellismic ==
-Subgroup: 2.3.5.7.11
-[[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
-{{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>
 == No-7 semiporwellismic ==
-Subgroup: 2.3.5.11
+[[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 }}]
+{{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
+: 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 }}
@@ Line 36: / Line 23: @@
 [[Category:Temperament clans]]
 [[Category:Semiporwellismic clan| ]] <!-- main article -->
+[[Category:Semiporwellismic| ]] <!-- key article -->
 [[Category:Rank 3]]