Shibboleth family: Difference between revisions
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Cmloegcmluin (talk | contribs) "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence |
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[[POTE generator]]: ~6/5 = 321.852 | [[POTE generator]]: ~6/5 = 321.852 | ||
{{ | {{Optimal ET sequence|legend=1| 15, 26, 41, 179c, 220c, 261cc, 302cc }} | ||
[[Badness]]: 0.227553 | [[Badness]]: 0.227553 | ||
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[[POTE generator]]: ~6/5 = 321.930 | [[POTE generator]]: ~6/5 = 321.930 | ||
{{ | {{Optimal ET sequence|legend=1| 11c, 15, 26, 41 }} | ||
[[Badness]]: 0.047932 | [[Badness]]: 0.047932 | ||
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POTE generator: ~6/5 = 321.847 | POTE generator: ~6/5 = 321.847 | ||
Optimal | {{Optimal ET sequence|legend=1| 11c, 15, 26, 41, 179cde, 220cde, 261ccdee }} | ||
Badness: 0.025659 | Badness: 0.025659 | ||
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POTE generator: ~6/5 = 321.994 | POTE generator: ~6/5 = 321.994 | ||
Optimal | {{Optimal ET sequence|legend=1| 11cf, 15, 26, 41 }} | ||
Badness: 0.021478 | Badness: 0.021478 | ||
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[[POTE generator]]: ~6/5 = 321.423 | [[POTE generator]]: ~6/5 = 321.423 | ||
{{ | {{Optimal ET sequence|legend=1| 11cd, 15, 41dd, 56dd }} | ||
[[Badness]]: 0.115292 | [[Badness]]: 0.115292 | ||
Revision as of 16:31, 7 May 2023
The shibboleth family tempers out the shibboleth comma, 1953125/1889568.
Temperaments discussed elsewhere include:
- superthird, {245/243, 78125/76832} → Sensamagic clan #Superthird
Shibboleth
Subgroup: 2.3.5
Comma list: 1953125/1889568
Mapping: [⟨1 4 5], ⟨0 -9 -10]]
POTE generator: ~6/5 = 321.852
Optimal ET sequence: 15, 26, 41, 179c, 220c, 261cc, 302cc
Badness: 0.227553
Superkleismic
Subgroup: 2.3.5.7
Comma list: 875/864, 1029/1024
Mapping: [⟨1 4 5 2], ⟨0 -9 -10 3]]
Wedgie: ⟨⟨ 9 10 -3 -5 -30 -35 ]]
POTE generator: ~6/5 = 321.930
Optimal ET sequence: 11c, 15, 26, 41
Badness: 0.047932
11-limit
Subgroup: 2.3.5.7.11
Comma list: 100/99, 245/242, 385/384
Mapping: [⟨1 4 5 2 4], ⟨0 -9 -10 3 -2]]
POTE generator: ~6/5 = 321.847
Optimal ET sequence: 11c, 15, 26, 41, 179cde, 220cde, 261ccdee
Badness: 0.025659
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 100/99, 105/104, 144/143, 245/243
Mapping: [⟨1 4 5 2 4 8], ⟨0 -9 -10 3 -2 -16]]
POTE generator: ~6/5 = 321.994
Optimal ET sequence: 11cf, 15, 26, 41
Badness: 0.021478
Gilead
Subgroup: 2.3.5.7
Comma list: 126/125, 343/324
Mapping: [⟨1 4 5 6], ⟨0 -9 -10 -12]]
Wedgie: ⟨⟨ 9 10 12 -5 -6 0 ]]
POTE generator: ~6/5 = 321.423
Optimal ET sequence: 11cd, 15, 41dd, 56dd
Badness: 0.115292