Escapade family: Difference between revisions
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The '''escapade family''' tempers out the [[escapade_comma|escapade comma]], {{monzo|32 -7 -9}}, of size 9.492 [[cent]]s. It includes the [[Hemifamity temperaments|alphaquarter temperament]] and the [[Hemimean clan|arch temperament]]. | The '''escapade family''' tempers out the [[escapade_comma|escapade comma]], {{monzo|32 -7 -9}}, of size 9.492 [[cent]]s. It includes the [[Hemifamity temperaments|alphaquarter temperament]] and the [[Hemimean clan|arch temperament]]. | ||
= Escapade = | == Escapade == | ||
Subgroup: 2.3.5 | Subgroup: 2.3.5 | ||
| Line 14: | Line 14: | ||
Badness: 0.083778 | Badness: 0.083778 | ||
== 7-limit == | === 7-limit === | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 29: | Line 29: | ||
Badness: 0.077950 | Badness: 0.077950 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 42: | Line 42: | ||
Badness: 0.036700 | Badness: 0.036700 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 55: | Line 55: | ||
Badness: 0.035261 | Badness: 0.035261 | ||
= Escaped = | == Escaped == | ||
{{See also|Sensamagic clan #Escaped}} | {{See also|Sensamagic clan #Escaped}} | ||
| Line 74: | Line 74: | ||
[[Badness]]: 0.088746 | [[Badness]]: 0.088746 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 87: | Line 87: | ||
Badness: 0.035844 | Badness: 0.035844 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 100: | Line 100: | ||
Badness: 0.031366 | Badness: 0.031366 | ||
= Biscapade = | == Biscapade == | ||
Subgroup: 2.3.5.7 | Subgroup: 2.3.5.7 | ||
| Line 115: | Line 115: | ||
[[Badness]]: 0.059241 | [[Badness]]: 0.059241 | ||
== 11-limit == | === 11-limit === | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 128: | Line 128: | ||
Badness: 0.024619 | Badness: 0.024619 | ||
== 13-limit == | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
Revision as of 21:28, 1 June 2021
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
Subgroup: 2.3.5
Comma: 4294967296/4271484375
Mapping: [<1 2 2|, <0 -9 7|]
POTE generator: ~16875/16384 = 55.293
EDOs: 21, 22, 43, 65, 152, 217, 586, 803
Badness: 0.083778
7-limit
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
Vals: 21, 22, 43, 65d
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: ~49/48 = 55.354
Vals: 21, 22, 43, 65d
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: 21, 22, 43
Badness: 0.035261
Escaped
This temperament is also known 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
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
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