Escapade family

The escapade family tempers out the escapade comma, [32 -7 -9⟩, of size 9.492 cents.

Escapade

Subgroup: 2.3.5

Comma list: 4294967296/4271484375

Mapping: [⟨1 2 2], ⟨0 -9 7]]

POTE generator: ~16875/16384 = 55.293

Badness: 0.083778

Extensions

Extensions of escapade include (septimal) escapade, escaped and biscapade, considered below, as well as these temperaments discussed elsewhere:

• arch, {3136/3125, 5250987/5242880} → Hemimean clan #Arch
• alphaquarter, {5120/5103, 29360128/29296875} → Hemifamity temperaments #Alphaquarter

Septimal escapade

Subgroup: 2.3.5.7

Comma list: 225/224, 12288/12005

Mapping: [⟨1 2 2 3], ⟨0 -9 7 -4]]

Wedgie: ⟨⟨ 9 -7 4 -32 -19 29 ]]

POTE generator: ~49/48 = 55.327

Badness: 0.077950

11-limit

Subgroup: 2.3.5.7.11

Comma list: 99/98, 176/175, 2560/2541

Mapping: [⟨1 2 2 3 3], ⟨0 -9 7 -4 10]]

POTE generator: ~33/32 = 55.354

Vals: Template:Val list

Badness: 0.036700

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 78/77, 99/98, 176/175, 507/500

Mapping: [⟨1 2 2 3 3 3], ⟨0 -9 7 -4 10 15]]

POTE generator: ~26/25 = 55.550

Vals: Template:Val list

Badness: 0.035261

Escaped

See also: Sensamagic clan § Escaped

This temperament is also called as "sensa" because it tempers out 245/243, 352/351, and 385/384 as a sensamagic temperament. Not to be confused with 19e&27 temperament (sensi extension).

Subgroup: 2.3.5.7

Comma list: 245/243, 65625/65536

Mapping: [⟨1 2 2 4], ⟨0 -9 7 -26]]

Wedgie: ⟨⟨ 9 -7 26 -32 16 80 ]]

POTE generator: ~28/27 = 55.122

Badness: 0.088746

11-limit

Subgroup: 2.3.5.7.11

Comma list: 245/243, 385/384, 4000/3993

Mapping: [⟨1 2 2 4 3], ⟨0 -9 7 -26 10]]

POTE generator: ~28/27 = 55.126

Vals: Template:Val list

Badness: 0.035844

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 245/243, 352/351, 385/384, 625/624

Mapping: [⟨1 2 2 4 3 2], ⟨0 -9 7 -26 10 37]]

POTE generator: ~28/27 = 55.138

Vals: Template:Val list

Badness: 0.031366

Septisuperfourth aka biscapade

Subgroup: 2.3.5.7

Comma list: 6144/6125, 118098/117649

Mapping: [⟨2 4 4 7], ⟨0 -9 7 -15]]

Wedgie: ⟨⟨ 18 -14 30 -64 -3 109 ]]

POTE generator: ~16875/16384 = 55.320

Badness: 0.059241

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 4000/3993, 5632/5625

Mapping: [⟨2 4 4 7 6], ⟨0 -9 7 -15 10]]

POTE generator: ~33/32 = 55.304

Vals: Template:Val list

Badness: 0.024619

13-limit (septisuperfourth)

Subgroup: 2.3.5.7.11.13

Comma list: 540/539, 729/728, 1575/1573, 3584/3575

Mapping: [⟨2 4 4 7 6 11], ⟨0 -9 7 -15 10 -39]]

POTE generator: ~48/35 = 544.675

Vals: Template:Val list

Badness: 0.022887

13-limit (biscapade aka septisuperquad)

Subgroup: 2.3.5.7.11.13

Comma list: 351/350, 364/363, 540/539, 4096/4095

Mapping: [⟨2 4 4 7 6 5], ⟨0 -9 7 -15 10 26]]

POTE generator: ~33/32 = 55.359

Vals: Template:Val list

Badness: 0.033038