Mistismic temperaments

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]]

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 (Sintel): 4.223