Mistismic temperaments: Difference between revisions

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These are rank-2 temperaments that temper out the mistisma, 458752/455625 = {{monzo| 16 -6 -4 1 }}.
{{Technical data page}}
These are [[rank 2 temperament]]s that temper out the [[mistisma]], 458752/455625 = {{monzo| 16 -6 -4 1 }}.


Temperaments dicussed elsewhere include [[Escapade family #Escaped|escaped]], [[Schismatic family #Grackle|grackle]], [[Porwell temperaments #Hendecatonic|hendecatonic]], [[Kleismic family #Metakleismic|metakleismic]], [[Misty family|misty]], [[pajara]], [[Quintaleap family #Quintupole|quintupole]], [[Gamelismic clan #Restles|restles]], and [[Würschmidt family #Whirrschmidt|whirrschmidt]].
Temperaments dicussed elsewhere include [[Escapade family #Escaped|escaped]], [[Schismatic family #Grackle|grackle]], [[Porwell temperaments #Hendecatonic|hendecatonic]], [[Kleismic family #Metakleismic|metakleismic]], [[Misty family|misty]], [[pajara]], [[Quintaleap family #Quintupole|quintupole]], [[Gamelismic clan #Restles|restles]], and [[Würschmidt family #Whirrschmidt|whirrschmidt]].


== Neutron ==
== Neutron ==
Main article: [[Neutron]].
Subgroup: 2.3.5.7
Subgroup: 2.3.5.7


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[[Mapping]]: [{{val| 7 12 15 20 }}, {{val| 0 -5 7 -2 }}]
[[Mapping]]: [{{val| 7 12 15 20 }}, {{val| 0 -5 7 -2 }}]
{{Multival|legend=1| 35 -49 14 -159 -76 170 }}


[[POTE generator]]: ~49/48 = 30.845
[[POTE generator]]: ~49/48 = 30.845


{{Val list|legend=1| 35c, 42c, 77, 196, 273, 350d }}
{{Optimal ET sequence|legend=1| 35c, 42c, 77, 196, 273, 350d }}


[[Badness]]: 0.650041
[[Badness]]: 0.650041
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POTE generator: ~49/48 = 30.773
POTE generator: ~49/48 = 30.773


Vals: {{Val list| 77, 119, 196, 315b, 511bbcd }}
{{Optimal ET sequence|legend=1| 77, 119, 196, 315b, 511bbcd }}


Badness: 0.212279
Badness: 0.212279


[[Category:Temperament]]
Badness (Dirichet): 7.018
 
=== 13-limit ===
Note that [[119edo]] is a possible patent val tuning not appearing in the optimal ET sequence.
 
Subgroup: 2.3.5.7.11.13
 
Comma list: 385/384, 352/351, 10192/10125, 50421/50336
 
Mapping: [{{val| 7 12 15 20 26 -10 }}, {{val| 0 -5 7 -2 -10 5 }}]
 
[[CTE]] generator: ~49/48 = 30.781
 
{{Optimal ET sequence|legend=1| 77, 196, 273 }}
 
Badness (Sintel): 4.223
 
[[Category:Rank 2]]
[[Category:Rank 2]]
[[Category:Temperament collections]]