Immunity family: Difference between revisions

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"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Line 10: Line 10:
[[POTE generator]]: ~729/640 = 247.070
[[POTE generator]]: ~729/640 = 247.070


{{Val list|legend=1| 5, 29, 34 }}
{{Optimal ET sequence|legend=1| 5, 29, 34 }}


[[Badness]]: 0.184738
[[Badness]]: 0.184738
Line 25: Line 25:
[[POTE generator]]: ~7/6 = 247.555
[[POTE generator]]: ~7/6 = 247.555


{{Val list|legend=1| 5, 29, 34, 63d }}
{{Optimal ET sequence|legend=1| 5, 29, 34, 63d }}


[[Badness]]: 0.077631
[[Badness]]: 0.077631
Line 38: Line 38:
POTE generator: ~7/6 = 247.926
POTE generator: ~7/6 = 247.926


Optimal GPV sequence: {{Val list| 5, 24c, 29, 63de, 92cddee }}
{{Optimal ET sequence|legend=1| 5, 24c, 29, 63de, 92cddee }}


Badness: 0.052661
Badness: 0.052661
Line 51: Line 51:
POTE generator: ~7/6 = 247.969
POTE generator: ~7/6 = 247.969


Optimal GPV sequence: {{Val list| 5, 24cf, 29, 92cddee }}
{{Optimal ET sequence|legend=1| 5, 24cf, 29, 92cddee }}


Badness: 0.037078
Badness: 0.037078
Line 64: Line 64:
POTE generator: ~7/6 = 247.773
POTE generator: ~7/6 = 247.773


Optimal GPV sequence: {{Val list| 29, 63d, 92cdd }}
{{Optimal ET sequence|legend=1| 29, 63d, 92cdd }}


Badness: 0.055243
Badness: 0.055243
Line 77: Line 77:
POTE generator: ~7/6 = 247.783
POTE generator: ~7/6 = 247.783


Optimal GPV sequence: {{Val list| 29, 63d, 92cdd }}
{{Optimal ET sequence|legend=1| 29, 63d, 92cdd }}


Badness: 0.033196
Badness: 0.033196
Line 92: Line 92:
[[POTE generator]]: ~81/70 = 246.479
[[POTE generator]]: ~81/70 = 246.479


{{Val list|legend=1| 5, 34d, 39d, 73dd }}
{{Optimal ET sequence|legend=1| 5, 34d, 39d, 73dd }}


[[Badness]]: 0.082592
[[Badness]]: 0.082592
Line 105: Line 105:
POTE generator: ~64/55 = 246.603
POTE generator: ~64/55 = 246.603


Optimal GPV sequence: {{Val list| 5, 34d, 39d, 73dd }}
{{Optimal ET sequence|legend=1| 5, 34d, 39d, 73dd }}


Badness: 0.051515
Badness: 0.051515
Line 120: Line 120:
[[POTE generator]]: ~567/500 = 247.583
[[POTE generator]]: ~567/500 = 247.583


{{Val list|legend=1| 29, 34d, 63 }}
{{Optimal ET sequence|legend=1| 29, 34d, 63 }}


[[Badness]]: 0.144835
[[Badness]]: 0.144835
Line 133: Line 133:
POTE generator: ~140/121 = 247.589
POTE generator: ~140/121 = 247.589


Optimal GPV sequence: {{Val list| 29, 34d, 63 }}
{{Optimal ET sequence|legend=1| 29, 34d, 63 }}


Badness: 0.050990
Badness: 0.050990
Line 146: Line 146:
POTE generator: ~15/13 = 247.593
POTE generator: ~15/13 = 247.593


Optimal GPV sequence: {{Val list| 29, 34d, 63 }}
{{Optimal ET sequence|legend=1| 29, 34d, 63 }}


Badness: 0.028521
Badness: 0.028521

Revision as of 16:06, 7 May 2023

Temperaments of immunity family temper out the immunity comma, 1638400/1594323 = [16-13 2⟩ (sasayoyo).

Immunity

Subgroup: 2.3.5

Comma: 1638400/1594323

Mapping: [⟨1 0 -8], ⟨0 2 13]]

POTE generator: ~729/640 = 247.070

Optimal ET sequence: 5, 29, 34

Badness: 0.184738

7-limit

Subgroup: 2.3.5.7

Comma list: 49/48, 2240/2187

Mapping: [⟨1 0 -8 2], ⟨0 2 13 1]]

Wedgie: ⟨⟨ 2 13 1 16 -4 -34 ]]

POTE generator: ~7/6 = 247.555

Optimal ET sequence: 5, 29, 34, 63d

Badness: 0.077631

11-limit

Subgroup: 2.3.5.7.11

Comma list: 49/48, 55/54, 896/891

Mapping: [⟨1 0 -8 2 9], ⟨0 2 13 1 -7]]

POTE generator: ~7/6 = 247.926

Optimal ET sequence: 5, 24c, 29, 63de, 92cddee

Badness: 0.052661

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 49/48, 55/54, 91/90, 896/891

Mapping: [⟨1 0 -8 2 9 -9], ⟨0 2 13 1 -7 16]]

POTE generator: ~7/6 = 247.969

Optimal ET sequence: 5, 24cf, 29, 92cddee

Badness: 0.037078

Impunity

Subgroup: 2.3.5.7.11

Comma list: 49/48, 100/99, 1232/1215

Mapping: [⟨1 0 -8 2 -14], ⟨0 2 13 1 22]]

POTE generator: ~7/6 = 247.773

Optimal ET sequence: 29, 63d, 92cdd

Badness: 0.055243

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 49/48, 91/90, 100/99, 352/351

Mapping: [⟨1 0 -8 2 -14 -9], ⟨0 2 13 1 22 16]]

POTE generator: ~7/6 = 247.783

Optimal ET sequence: 29, 63d, 92cdd

Badness: 0.033196

Immunized

Subgroup: 2.3.5.7

Comma list: 64/63, 8748/8575

Mapping: [⟨1 0 -8 6], ⟨0 2 13 -4]]

Wedgie: ⟨⟨ 2 13 -4 16 -12 -46 ]]

POTE generator: ~81/70 = 246.479

Optimal ET sequence: 5, 34d, 39d, 73dd

Badness: 0.082592

11-limit

Subgroup: 2.3.5.7.11

Comma list: 64/63, 99/98, 1944/1925

Mapping: [⟨1 0 -8 6 13], ⟨0 2 13 -4 -12]]

POTE generator: ~64/55 = 246.603

Optimal ET sequence: 5, 34d, 39d, 73dd

Badness: 0.051515

Immune

Subgroup: 2.3.5.7

Comma list: 225/224, 781250/750141

Mapping: [⟨1 2 5 9], ⟨0 -2 -13 -30]]

Wedgie: ⟨⟨ 2 13 30 16 42 33 ]]

POTE generator: ~567/500 = 247.583

Optimal ET sequence: 29, 34d, 63

Badness: 0.144835

11-limit

Subgroup: 2.3.5.7.11

Comma list: 100/99, 225/224, 1331/1323

Mapping: [⟨1 2 5 9 8], ⟨0 -2 -13 -30 -22]]

POTE generator: ~140/121 = 247.589

Optimal ET sequence: 29, 34d, 63

Badness: 0.050990

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 100/99, 169/168, 225/224, 275/273

Mapping: [⟨1 2 5 9 8 7], ⟨0 -2 -13 -30 -22 -16]]

POTE generator: ~15/13 = 247.593

Optimal ET sequence: 29, 34d, 63

Badness: 0.028521

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