Escapade family

The escapade family tempers out the escapade comma, |32 -7 -9>, of size 9.492 cents. It includes the alphaquarter temperament and the arch temperament.

Escapade

Comma: 4294967296/4271484375

POTE generator: ~16875/16384 = 55.293

Map: [<1 2 2|, <0 -9 7|]

EDOs: 21, 22, 43, 65, 152, 217, 586, 803

Badness: 0.0838

7-limit

Commas: 225/224, 12288/12005

POTE generator: ~49/48 = 55.327

Map: [<1 2 2 3|, <0 -9 7 -4|]

Wedgie: <<9 -7 4 -32 -19 29||

EDOs: 21, 22, 43, 65d

Badness: 0.0779

11-limit

Commas: 99/98, 176/175, 2560/2541

POTE generator: ~49/48 = 55.354

Map: [<1 2 2 3 3|, <0 -9 7 -4 10|]

EDOs: 21, 22, 43, 65d

Badness: 0.0367

13-limit

Commas: 78/77, 99/98, 176/175, 507/500

POTE generator: ~26/25 = 55.550

Map: [<1 2 2 3 3 3|, <0 -9 7 -4 10 15|]

EDOs: 21, 22, 43

Badness: 0.0353

Escaped

Commas: 245/243, 65625/65536

POTE generator: ~28/27 = 55.122

Map: [<1 2 2 4|, <0 -9 7 -26|]

Wedgie: <<9 -7 26 -32 16 80||

EDOs: 22, 65, 87, 196, 283

Badness: 0.0887

11-limit (aka Sensa)

Commas: 245/243, 385/384, 3388/3375

POTE generator: ~28/27 = 55.126

Map: [<1 2 2 4 3|, <0 -9 7 -26 10|]

EDOs: 22, 65, 87, 196, 283

Badness: 0.0358

13-limit

Commas: 245/243, 352/351, 364/363, 625/624

POTE generator: ~28/27 = 55.138

Map: [<1 2 2 4 3 2|, <0 -9 7 -26 10 37|]

EDOs: 22, 65, 87, 196, 283

Badness: 0.0314

Biscapade

Commas: 6144/6125, 118098/117649

POTE generator: ~16875/16384 = 55.230

Map: [<2 4 4 7|, <0 -9 7 -15|]

Wedgie: <<18 -14 30 -64 -3 109||

EDOs: 22, 86, 108, 130, 152, 282

Badness: 0.0592

11-limit

Commas: 540/539, 4000/3993, 5632/5625

POTE generator: ~33/32 = 55.304

Map: [<2 4 4 7 6|, <0 -9 7 -15 10|]

EDOs: 22, 86, 108, 130, 152, 282

Badness: 0.0246

13-limit

Commas: 351/350, 364/363, 540/539, 4096/4095

POTE generator: ~33/32 =55.359

Map: [<2 4 4 7 6 5|, <0 -9 7 -15 10 26|]

EDOs: 22, 108, 130

Badness: 0.0330