Cassaschismic: Difference between revisions

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[[Category:Garischismic family]]

[[Category:Olympic clan]]

{{Infobox regtemp|Title=Cassaschismic|Subgroups=2.3.5.7.11.13.19|Comma basis=[[19712/19683]], [[41503/41472]]|Edo join 1=217|Edo join 2=270|Mapping=1; 0 1 0 -14 23 12 5; 0 0 1 0 0 -1 1|Generators=3/2|Generators tuning=~~701.731~~|Optimization method=TBA|MOS scales=[[2L 3s]], [[5L 2s]], [[5L 7s]], [[12L 5s]]|Pergen=(P8, P5)|Color name=Salozo & Saruru|Odd limit 1=15|Mistuning 1=TBA|Complexity 1=12|Odd limit 2=13-limit 225|Mistuning 2=TBA|Complexity 2=29|Edo join 3=311}}{{Idiosyncratic terms|Many of the information and terminology here has been ported and adapted from Eufalesio's user page "Ultimate" and his own TAMNAMS extensions.}}Cassaschismic is a rank-3 temperament for the 11-, 13-limit and beyond. It is a member of [[garischismic clan]] and [[olympic clan]]. It extends the chain-of-fifths sequence of [[gary]] into the full 11-limit by adding an independent generator for 5/4, which naturally can be then used for 13/8 and 19/16.

{{Infobox regtemp|Title=Cassaschismic|Subgroups=2.3.5.7.11.13.19|Comma basis=[[19712/19683]], [[41503/41472]]|Edo join 1=217|Edo join 2=270|Mapping=1; 0 1 0 -14 23 12 5; 0 0 1 0 0 -1 1|Generators=3/2|Generators tuning=TBA|Optimization method=TBA|MOS scales=[[2L 3s]], [[5L 2s]], [[5L 7s]], [[12L 5s]]|Pergen=(P8, P5, ^1)|Color name=Salozo & Saruru|Odd limit 1=15|Mistuning 1=TBA|Complexity 1=TBD|Odd limit 2=13-limit 225|Mistuning 2=TBA|Complexity 2=TBD|Edo join 3=311|Ploidacot=Haploid monocot}}{{Idiosyncratic terms|Many of the information and terminology here has been ported and adapted from Eufalesio's user page "Ultimate" and his own TAMNAMS extensions.}}Cassaschismic is a rank-3 temperament for the 11-, 13-limit and beyond. It is a member of [[garischismic clan]] and [[olympic clan]]. It extends the chain-of-fifths sequence of [[gary]] into the full 11-limit by adding an independent generator for 5/4, which naturally can be then used for 13/8 and 19/16.

By moving the generators around, this generator can be instead taken to be a tiny <span data-darkreader-inline-color="">3~5c ''minicomma'' (from this point forward refered to as "MC") that represents 385/384, 352/351, 5120/5103, 513/512, the schisma... etc; acting as a rank-3 detemper of [[cassandra]], where cassandra mappings are modified by ±1 MC to reach the rest of primes.</span>

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 [[Category:Garischismic family]]
 [[Category:Olympic clan]]
-{{Infobox regtemp|Title=Cassaschismic|Subgroups=2.3.5.7.11.13.19|Comma basis=[[19712/19683]], [[41503/41472]]|Edo join 1=217|Edo join 2=270|Mapping=1; 0 1 0 -14 23 12 5; 0 0 1 0 0 -1 1|Generators=3/2|Generators tuning=701.731|Optimization method=TBA|MOS scales=[[2L&nbsp;3s]], [[5L&nbsp;2s]], [[5L&nbsp;7s]], [[12L&nbsp;5s]]|Pergen=(P8, P5)|Color name=Salozo & Saruru|Odd limit 1=15|Mistuning 1=TBA|Complexity 1=12|Odd limit 2=13-limit 225|Mistuning 2=TBA|Complexity 2=29|Edo join 3=311}}{{Idiosyncratic terms|Many of the information and terminology here has been ported and adapted from Eufalesio's user page "Ultimate" and his own TAMNAMS extensions.}}Cassaschismic is a rank-3 temperament for the 11-, 13-limit and beyond. It is a member of [[garischismic clan]] and [[olympic clan]]. It extends the chain-of-fifths sequence of [[gary]] into the full 11-limit by adding an independent generator for 5/4, which naturally can be then used for 13/8 and 19/16.
+{{Infobox regtemp|Title=Cassaschismic|Subgroups=2.3.5.7.11.13.19|Comma basis=[[19712/19683]], [[41503/41472]]|Edo join 1=217|Edo join 2=270|Mapping=1; 0 1 0 -14 23 12 5; 0 0 1 0 0 -1 1|Generators=3/2|Generators tuning=TBA|Optimization method=TBA|MOS scales=[[2L&nbsp;3s]], [[5L&nbsp;2s]], [[5L&nbsp;7s]], [[12L&nbsp;5s]]|Pergen=(P8, P5, ^1)|Color name=Salozo & Saruru|Odd limit 1=15|Mistuning 1=TBA|Complexity 1=TBD|Odd limit 2=13-limit 225|Mistuning 2=TBA|Complexity 2=TBD|Edo join 3=311|Ploidacot=Haploid monocot}}{{Idiosyncratic terms|Many of the information and terminology here has been ported and adapted from Eufalesio's user page "Ultimate" and his own TAMNAMS extensions.}}Cassaschismic is a rank-3 temperament for the 11-, 13-limit and beyond. It is a member of [[garischismic clan]] and [[olympic clan]]. It extends the chain-of-fifths sequence of [[gary]] into the full 11-limit by adding an independent generator for 5/4, which naturally can be then used for 13/8 and 19/16.
 By moving the generators around, this generator can be instead taken to be a tiny <span data-darkreader-inline-color="">3~5c ''minicomma'' (from this point forward refered to as "MC") that represents 385/384, 352/351, 5120/5103, 513/512, the schisma... etc; acting as a rank-3 detemper of [[cassandra]], where cassandra mappings are modified by ±1 MC to reach the rest of primes.</span>