Maquila family: Difference between revisions

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The maquila family tempers out the [[maquila comma]], 562949953421312/556182861328125 = {{monzo|49 -6 -17}}.
The maquila family tempers out the [[maquila comma]], 562949953421312/556182861328125 = {{monzo|49 -6 -17}}.


== Maquila ==
== Maquila ==
Subgroup: 2.3.5
 
[[Comma]]: 562949953421312/556182861328125
[[Comma]]: 562949953421312/556182861328125


Line 12: Line 14:
[[Badness]]: 0.472510
[[Badness]]: 0.472510


=== 7-limit ===
=== 7-limit ===
Subgroup: 2.3.5.7
 
[[Comma list]]: 225/224, 30233088/28824005
[[Comma list]]: 225/224, 30233088/28824005


Line 25: Line 29:
[[Badness]]: 0.232430
[[Badness]]: 0.232430


=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 99/98, 176/175, 73728/73205
Comma list: 99/98, 176/175, 73728/73205


Line 32: Line 38:
POTE generator: ~15/11 = 535.321
POTE generator: ~15/11 = 535.321


Vals: {{Val list| 9, 56d, 65d }}
Optimal GPV sequence: {{Val list| 9, 56d, 65d }}


Badness: 0.072550
Badness: 0.072550


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 99/98, 144/143, 176/175, 847/845
Comma list: 99/98, 144/143, 176/175, 847/845


Line 43: Line 51:
POTE generator: ~15/11 = 535.298
POTE generator: ~15/11 = 535.298


Vals: {{Val list| 9, 56df, 65d, 139df, 204ddff }}
Optimal GPV sequence: {{Val list| 9, 56df, 65d, 139df, 204ddff }}


Badness: 0.042198
Badness: 0.042198


== Maquiloid ==
== Maquiloid ==
Subgroup: 2.3.5.7
 
[[Comma list]]: 686/675, 65625/65536
[[Comma list]]: 686/675, 65625/65536


Line 60: Line 70:
[[Badness]]: 0.188977
[[Badness]]: 0.188977


=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 245/242, 385/384, 686/675
Comma list: 245/242, 385/384, 686/675


Line 67: Line 79:
POTE generator: ~15/11 = 535.485
POTE generator: ~15/11 = 535.485


Vals: {{Val list| 9, 38be, 47b, 56, 65, 121d, 186dde }}
Optimal GPV sequence: {{Val list| 9, 38be, 47b, 56, 65, 121d, 186dde }}


Badness: 0.066234
Badness: 0.066234


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 91/90, 169/168, 245/242, 385/384
Comma list: 91/90, 169/168, 245/242, 385/384


Line 78: Line 92:
POTE generator: ~15/11 = 535.501
POTE generator: ~15/11 = 535.501


Vals: {{Val list| 9, 38be, 47b, 56, 65f, 121df, 186ddeff }}
Optimal GPV sequence: {{Val list| 9, 38be, 47b, 56, 65f, 121df, 186ddeff }}


Badness: 0.041850
Badness: 0.041850


== Hemimaquila ==
== Hemimaquila ==
Subgroup: 2.3.5.7
 
[[Comma list]]: 6144/6125, 184528125/184473632
[[Comma list]]: 6144/6125, 184528125/184473632


Line 95: Line 111:
[[Badness]]: 0.111465
[[Badness]]: 0.111465


=== 11-limit ===
=== 11-limit ===
Subgroup: 2.3.5.7.11
 
Comma list: 540/539, 5632/5625, 12005/11979
Comma list: 540/539, 5632/5625, 12005/11979


Line 102: Line 120:
POTE generator: ~7/6 = 267.717
POTE generator: ~7/6 = 267.717


Vals: {{Val list| 9, 121, 130, 251e, 381e }}
Optimal GPV sequence: {{Val list| 9, 121, 130, 251e, 381e }}


Badness: 0.047440
Badness: 0.047440


=== 13-limit ===
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
 
Comma list: 364/363, 540/539, 676/675, 3584/3575
Comma list: 364/363, 540/539, 676/675, 3584/3575


Line 113: Line 133:
POTE generator: ~7/6 = 267.719
POTE generator: ~7/6 = 267.719


Vals: {{Val list| 9, 121, 130, 251e, 381e }}
Optimal GPV sequence: {{Val list| 9, 121, 130, 251e, 381e }}


Badness: 0.024445
Badness: 0.024445

Revision as of 07:52, 21 March 2022

The maquila family tempers out the maquila comma, 562949953421312/556182861328125 = [49 -6 -17⟩.

Maquila

Subgroup: 2.3.5

Comma: 562949953421312/556182861328125

Mapping: [⟨1 -6 5], ⟨0 17 -6]]

POTE generator: ~512/375 = 535.437

Template:Val list

Badness: 0.472510

7-limit

Subgroup: 2.3.5.7

Comma list: 225/224, 30233088/28824005

Mapping: [⟨1 -6 5 -7], ⟨0 17 -6 22]]

Wedgie: ⟨⟨ 17 -6 22 -49 -13 68 ]]

POTE generator: ~48/35 = 535.322

Template:Val list

Badness: 0.232430

11-limit

Subgroup: 2.3.5.7.11

Comma list: 99/98, 176/175, 73728/73205

Mapping: [⟨1 -6 5 -7 -1], ⟨0 17 -6 22 10]]

POTE generator: ~15/11 = 535.321

Optimal GPV sequence: Template:Val list

Badness: 0.072550

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 99/98, 144/143, 176/175, 847/845

Mapping: [⟨1 -6 5 -7 -1 -7], ⟨0 17 -6 22 10 24]]

POTE generator: ~15/11 = 535.298

Optimal GPV sequence: Template:Val list

Badness: 0.042198

Maquiloid

Subgroup: 2.3.5.7

Comma list: 686/675, 65625/65536

Mapping: [⟨1 -6 5 -3], ⟨0 17 -6 13]]

Wedgie: ⟨⟨ 17 -6 13 -49 -27 47 ]]

POTE generator: ~175/128 = 535.482

Template:Val list

Badness: 0.188977

11-limit

Subgroup: 2.3.5.7.11

Comma list: 245/242, 385/384, 686/675

Mapping: [⟨1 -6 5 -3 -1], ⟨0 17 -6 13 10]]

POTE generator: ~15/11 = 535.485

Optimal GPV sequence: Template:Val list

Badness: 0.066234

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 91/90, 169/168, 245/242, 385/384

Mapping: [⟨1 -6 5 -3 -1 -3], ⟨0 17 -6 13 10 15]]

POTE generator: ~15/11 = 535.501

Optimal GPV sequence: Template:Val list

Badness: 0.041850

Hemimaquila

Subgroup: 2.3.5.7

Comma list: 6144/6125, 184528125/184473632

Mapping: [⟨1 -6 5 -5], ⟨0 34 -12 35]]

Wedgie: ⟨⟨ 34 -12 35 -98 -40 115 ]]

POTE generator: ~7/6 = 267.716

Template:Val list

Badness: 0.111465

11-limit

Subgroup: 2.3.5.7.11

Comma list: 540/539, 5632/5625, 12005/11979

Mapping: [⟨1 -6 5 -5 -1], ⟨0 34 -12 35 20]]

POTE generator: ~7/6 = 267.717

Optimal GPV sequence: Template:Val list

Badness: 0.047440

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 364/363, 540/539, 676/675, 3584/3575

Mapping: [⟨1 -6 5 -5 -1 -5], ⟨0 34 -12 35 20 39]]

POTE generator: ~7/6 = 267.719

Optimal GPV sequence: Template:Val list

Badness: 0.024445

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