Mistismic temperaments: Difference between revisions
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These are [[rank 2 | 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]]. | ||
Revision as of 14:35, 13 April 2025
- 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.
These are rank 2 temperaments that temper out the mistisma, 458752/455625 = [16 -6 -4 1⟩.
Temperaments dicussed elsewhere include escaped, grackle, hendecatonic, metakleismic, misty, pajara, quintupole, restles, and whirrschmidt.
Neutron
Main article: Neutron.
Subgroup: 2.3.5.7
Comma list: 458752/455625, 40353607/39813120
Mapping: [⟨7 12 15 20], ⟨0 -5 7 -2]]
Wedgie: ⟨⟨ 35 -49 14 -159 -76 170 ]]
POTE generator: ~49/48 = 30.845
Optimal ET sequence: 35c, 42c, 77, 196, 273, 350d
Badness: 0.650041
11-limit
Subgroup: 2.3.5.7.11
Comma list: 385/384, 166012/164025, 585640/583443
Mapping: [⟨7 12 15 20 26], ⟨0 -5 7 -2 -10]]
POTE generator: ~49/48 = 30.773
Optimal ET sequence: 77, 119, 196, 315b, 511bbcd
Badness: 0.212279
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: [⟨7 12 15 20 26 -10], ⟨0 -5 7 -2 -10 5]]
CTE generator: ~49/48 = 30.781
Optimal ET sequence: 77, 196, 273
Badness (Dirichlet): 4.223