Wizmic microtemperaments

A wizmic temperament is one which tempers out the wizma, |-6 -8 2 5> = 420175/419904.

Discussed elsewhere are ennealimmal, fifthplus, hemiseven, hendecatonic, sengagen, septiquarter, tsaharuk, and wizard.

Qak

Comma list: 420175/419904, 703125/702464

Mapping: [<1 -14 -3 -20|, <0 41 14 60|]

Wedgie: <<41 14 60 -73 -20 100||

POTE generator: ~125/96 = 456.144

Badness: 0.029267

Tokko

Comma list: 420175/419904, 5250987/5242880

Mapping: [<1 -1 -11 4|, <0 13 67 -6|]

Wedgie: <<13 67 -6 76 -46 -202||

POTE generator: ~147/128 = 238.599

Badness: 0.044417

Tertiathirds

The tertiathirds temperament (121&270, named by Xenllium) tempers out the quasiorwellisma, 29360128/29296875 in the 7-limit, as well as the wizma. This temperament splits the interval of 5/4 into three 14/13 generators.

Comma list: 420175/419904, 29360128/29296875

Mapping: [<1 -4 2 -6|, <0 52 3 82|]

Wedgie: <<52 3 82 -116 -16 182||

POTE generator: ~3375/3136 = 128.8879

Badness: 0.093005

11-limit

Comma list: 3025/3024, 5632/5625, 117649/117612

Mapping: [<1 -4 2 -6 -9|, <0 52 3 82 116|]

POTE generator: ~264/245 = 128.8898

Vals: Template:Val list

Badness: 0.033322

13-limit

Comma list: 676/675, 1716/1715, 3025/3024, 4225/4224

Mapping: [<1 -4 2 -6 -9 -5|, <0 52 3 82 116 81|]

POTE generator: ~14/13 = 128.8902

Vals: Template:Val list

Badness: 0.019494

17-limit

Comma list: 676/675, 715/714, 1716/1715, 2025/2023, 4225/4224

Mapping: [<1 -4 2 -6 -9 -5 -3|, <0 52 3 82 116 81 66|]

POTE generator: ~14/13 = 128.8912

Vals: Template:Val list

Badness: 0.019107