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. | The '''escapade family''' tempers out the [[escapade_comma|escapade comma]], {{monzo|32 -7 -9}}, of size 9.492 [[cent]]s. | ||
Temperaments discussed elsewhere include: | |||
* ''[[alphaquarter]]'', {5120/5103, 29360128/29296875} → [[Hemifamity temperaments #Alphaquarter]] | |||
* ''[[arch]]'', {3136/3125, 5250987/5242880} → [[Hemimean clan #Arch]] | |||
== Escapade == | == Escapade == | ||
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{{Val list|legend=1| 21, 22, 43, 65, 152, 217, 586, 803 }} | {{Val list|legend=1| 21, 22, 43, 65, 152, 217, 586, 803 }} | ||
Badness: 0.083778 | [[Badness]]: 0.083778 | ||
=== 7-limit === | === 7-limit === | ||
Revision as of 03:45, 10 June 2021
The escapade family tempers out the escapade comma, [32 -7 -9⟩, of size 9.492 cents.
Temperaments discussed elsewhere include:
- alphaquarter, {5120/5103, 29360128/29296875} → Hemifamity temperaments #Alphaquarter
- arch, {3136/3125, 5250987/5242880} → Hemimean clan #Arch
Escapade
Subgroup: 2.3.5
Comma: 4294967296/4271484375
Mapping: [⟨1 2 2], ⟨0 -9 7]]
POTE generator: ~16875/16384 = 55.293
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
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: 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
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