Passion family: Difference between revisions

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"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 12: Line 12:
[[POTE generator]]: ~16/15 = 98.670
[[POTE generator]]: ~16/15 = 98.670


{{Val list|legend=1| 12, 49, 61, 73 }}
{{Optimal ET sequence|legend=1| 12, 49, 61, 73 }}


[[Badness]]: 0.168550
[[Badness]]: 0.168550
Line 29: Line 29:
[[POTE generator]]: ~16/15 = 98.153
[[POTE generator]]: ~16/15 = 98.153


{{Val list|legend=1| 12, 37, 49, 110bcd }}
{{Optimal ET sequence|legend=1| 12, 37, 49, 110bcd }}


[[Badness]]: 0.062327
[[Badness]]: 0.062327
Line 42: Line 42:
POTE generator: ~16/15 = 98.019
POTE generator: ~16/15 = 98.019


Optimal GPV sequence: {{Val list| 12, 37, 49 }}
{{Optimal ET sequence|legend=1| 12, 37, 49 }}


Badness: 0.040809
Badness: 0.040809
Line 55: Line 55:
POTE generator: ~16/15 = 97.910
POTE generator: ~16/15 = 97.910


Optimal GPV sequence: {{Val list| 12f, 25f, 37, 49f }}
{{Optimal ET sequence|legend=1| 12f, 25f, 37, 49f }}


Badness: 0.030886
Badness: 0.030886
Line 70: Line 70:
[[POTE generator]]: ~16/15 = 98.817
[[POTE generator]]: ~16/15 = 98.817


{{Val list|legend=1| 12, 61, 73, 85c }}
{{Optimal ET sequence|legend=1| 12, 61, 73, 85c }}


[[Badness]]: 0.121293
[[Badness]]: 0.121293
Line 83: Line 83:
POTE generator: ~16/15 = 98.721
POTE generator: ~16/15 = 98.721


Optimal GPV sequence: {{Val list| 12, 61, 73, 158bccee }}
{{Optimal ET sequence|legend=1| 12, 61, 73, 158bccee }}


Badness: 0.068322
Badness: 0.068322
Line 96: Line 96:
POTE generator: ~16/15 = 98.627
POTE generator: ~16/15 = 98.627


Optimal GPV sequence: {{Val list| 12f, 61, 73f }}
{{Optimal ET sequence|legend=1| 12f, 61, 73f }}


Badness: 0.052302
Badness: 0.052302
Line 109: Line 109:
POTE generator: ~16/15 = 98.791
POTE generator: ~16/15 = 98.791


Optimal GPV sequence: {{Val list| 12f, 61f, 73, 85ce }}
{{Optimal ET sequence|legend=1| 12f, 61f, 73, 85ce }}


Badness: 0.056386
Badness: 0.056386
Line 122: Line 122:
[[POTE generator]]: ~16/15 = 98.809
[[POTE generator]]: ~16/15 = 98.809


{{Val list|legend=1| 1, 11, 12, 49dd }}
{{Optimal ET sequence|legend=1| 1, 11, 12, 49dd }}


[[Badness]]: 0.075055
[[Badness]]: 0.075055
Line 137: Line 137:
[[POTE generator]]: ~48/35 = 550.9374
[[POTE generator]]: ~48/35 = 550.9374


{{Val list|legend=1| 13d, 24, 37, 61, 98b }}
{{Optimal ET sequence|legend=1| 13d, 24, 37, 61, 98b }}


[[Badness]]: 0.209095
[[Badness]]: 0.209095
Line 150: Line 150:
POTE generator: ~11/8 = 550.9007
POTE generator: ~11/8 = 550.9007


Optimal GPV sequence: {{val list| 13d, 24, 37, 61 }}
{{Optimal ET sequence|legend=1| 13d, 24, 37, 61 }}


Badness: 0.077504
Badness: 0.077504
Line 163: Line 163:
POTE generator: ~11/8 = 550.9062
POTE generator: ~11/8 = 550.9062


Optimal GPV sequence: {{val list| 13d, 24, 37, 61 }}
{{Optimal ET sequence|legend=1| 13d, 24, 37, 61 }}


Badness: 0.045864
Badness: 0.045864

Revision as of 16:09, 7 May 2023

The passion family tempers out 262144/253125 in the 5-limit, which equates five instances of 16/15 with 4/3.

Passion

Subgroup: 2.3.5

Comma list: 262144/253125

Mapping: [⟨1 2 2], ⟨0 -5 4]]

Mapping generators: ~2, ~16/15

POTE generator: ~16/15 = 98.670

Optimal ET sequence: 12, 49, 61, 73

Badness: 0.168550

Septimal passion

Subgroup: 2.3.5.7

Comma list: 64/63, 3125/3087

Mapping: [⟨1 2 2 2], ⟨0 -5 4 10]]

Mapping generators: ~2, ~16/15

Wedgie: ⟨⟨ 5 -4 -10 -18 -30 -12 ]]

POTE generator: ~16/15 = 98.153

Optimal ET sequence: 12, 37, 49, 110bcd

Badness: 0.062327

11-limit

Subgroup: 2.3.5.7.11

Comma list: 64/63, 100/99, 1375/1372

Mapping: [⟨1 2 2 2 2], ⟨0 -5 4 10 18]]

POTE generator: ~16/15 = 98.019

Optimal ET sequence: 12, 37, 49

Badness: 0.040809

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 64/63, 100/99, 196/195, 275/273

Mapping: [⟨1 2 2 2 2 2], ⟨0 -5 4 10 18 21]]

POTE generator: ~16/15 = 97.910

Optimal ET sequence: 12f, 25f, 37, 49f

Badness: 0.030886

Passionate

Subgroup: 2.3.5.7

Comma list: 126/125, 131072/127575

Mapping: [⟨1 2 2 1], ⟨0 -5 4 22]]

Wedgie: ⟨⟨ 5 -4 -22 -18 -49 -40 ]]

POTE generator: ~16/15 = 98.817

Optimal ET sequence: 12, 61, 73, 85c

Badness: 0.121293

11-limit

Subgroup: 2.3.5.7.11

Comma list: 126/125, 176/175, 8192/8019

Mapping: [⟨1 2 2 1 1], ⟨0 -5 4 22 30]]

POTE generator: ~16/15 = 98.721

Optimal ET sequence: 12, 61, 73, 158bccee

Badness: 0.068322

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 126/125, 176/175, 343/338, 364/363

Mapping: [⟨1 2 2 1 1 1], ⟨0 -5 4 22 30 33]]

POTE generator: ~16/15 = 98.627

Optimal ET sequence: 12f, 61, 73f

Badness: 0.052302

Pash

Subgroup: 2.3.5.7.11.13

Comma list: 126/125, 176/175, 196/195, 1352/1331

Mapping: [⟨1 2 2 1 1 0], ⟨0 -5 4 22 30 45]]

POTE generator: ~16/15 = 98.791

Optimal ET sequence: 12f, 61f, 73, 85ce

Badness: 0.056386

Passive

Subgroup: 2.3.5.7

Comma list: 225/224, 256/245

Mapping: [⟨1 2 2 3], ⟨0 -5 4 -2]]

POTE generator: ~16/15 = 98.809

Optimal ET sequence: 1, 11, 12, 49dd

Badness: 0.075055

Freivald

Subgroup: 2.3.5.7

Comma list: 6144/6125, 6272/6075

Mapping: [⟨1 7 -2 12], ⟨0 -10 8 -17]]

Mapping generator: ~2, ~35/24

POTE generator: ~48/35 = 550.9374

Optimal ET sequence: 13d, 24, 37, 61, 98b

Badness: 0.209095

11-limit

Subgroup: 2.3.5.7.11

Comma list: 121/120, 176/175, 2744/2673

Mapping: [⟨1 7 -2 12 4], ⟨0 -10 8 -17 -1]]

POTE generator: ~11/8 = 550.9007

Optimal ET sequence: 13d, 24, 37, 61

Badness: 0.077504

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 91/90, 121/120, 176/175, 512/507

Mapping: [⟨1 7 -2 12 4 1], ⟨0 -10 8 -17 -1 5]]

POTE generator: ~11/8 = 550.9062

Optimal ET sequence: 13d, 24, 37, 61

Badness: 0.045864

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