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| This tempers out the fifive comma, 9765625/9565938 = {{monzo|-1 -14 10}}.
| | The '''fifive family''' tempers out the [[fifive comma]], 9765625/9565938 = {{monzo| -1 -14 10 }}. |
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| | Temperaments discussed elsewhere include: |
| | * ''[[Fourfives]]'' (+245/243) → [[Sensamagic clan #Fourfives|Sensamagic clan]] |
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| | Considered below are crepuscular and fifives. |
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| == Fifive == | | == Fifive == |
| Subgroup: 2.3.5 | | [[Subgroup]]: 2.3.5 |
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| [[Comma]]: 9765625/9565938 | | [[Comma list]]: 9765625/9565938 |
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| [[Mapping]]: [{{val|2 2 3}}, {{val|0 5 7}}] | | [[Mapping]]: [{{val|2 2 3}}, {{val|0 5 7}}] |
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| == Crepuscular == | | == Crepuscular == |
| {{see also|Jubilismic clan #Crepuscular}} | | {{See also| Jubilismic clan #Crepuscular }} |
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| Subgroup: 2.3.5.7 | | Subgroup: 2.3.5.7 |
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| Badness: 0.029429 | | Badness: 0.029429 |
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| == Fourfives ==
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| Subgroup: 2.3.5.7
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| [[Comma list]]: 245/243, 235298/234375
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| [[Mapping]]: [{{val|4 4 6 7}}, {{val|0 5 7 9}}]
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| [[POTE generator]]: ~27/25 = 140.754
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| {{Optimal ET sequence|legend=1| 8d, 60, 68, 128 }}
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| [[Badness]]: 0.114143
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 245/243, 385/384, 235298/234375
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| Mapping: [{{val|4 4 6 7 19}}, {{val|0 5 7 9 -11}}]
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| POTE generator: ~27/25 = 140.771
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| {{Optimal ET sequence|legend=1| 8de, 60, 68, 128, 196 }}
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| Badness: 0.120165
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| ==== 13-limit ====
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 196/195, 245/243, 385/384, 20000/19773
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| Mapping: [{{val|4 4 6 7 19 12}}, {{val|0 5 7 9 -11 6}}]
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| POTE generator: ~13/12 = 140.760
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| {{Optimal ET sequence|legend=1| 8de, 60, 68, 128, 196f }}
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| Badness: 0.067365
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| === Quadrafives ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 121/120, 245/243, 1375/1372
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| Mapping: [{{val|4 4 6 7 11}}, {{val|0 5 7 9 6}}]
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| POTE generator: ~27/25 = 140.630
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| {{Optimal ET sequence|legend=1| 8d, 60e, 68, 128e }}
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| Badness: 0.057268
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| ==== 13-limit ====
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 121/120, 196/195, 245/243, 275/273
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| Mapping: [{{val|4 4 6 7 11 12}}, {{val|0 5 7 9 6 6}}]
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| POTE generator: ~13/12 = 140.728
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| {{Optimal ET sequence|legend=1| 8d, 60e, 68, 128e }}
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| Badness: 0.036128
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| ==== 17-limit ====
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 121/120, 154/153, 170/169, 196/195, 245/243
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| Mapping: [{{val|4 4 6 7 11 12 14}}, {{val|0 5 7 9 6 6 5}}]
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| POTE generator: ~13/12 = 140.718
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| {{Optimal ET sequence|legend=1| 8d, 60e, 68, 128e }}
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| Badness: 0.024796
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| [[Category:Temperament families]] | | [[Category:Temperament families]] |
| | [[Category:Fifive family| ]] <!-- main article --> |
| | [[Category:Fifive| ]] <!-- key article --> |
| [[Category:Rank 2]] | | [[Category:Rank 2]] |
| [[Category:Fifive]]
| |