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| {{Technical data page}}
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| The '''fifive family''' of [[regular temperament|temperaments]] [[tempering out|tempers out]] the [[fifive comma]] ({{monzo|legend=1| -1 -14 10 }}, [[ratio]]: 9765625/9565938).
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| The name ''fifive'' was given by [[Petr Pařízek]] in 2011 for it splits the [[3/2|perfect fifth]] in five.<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>
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| Considered below are crepuscular, fifives, and fourfives.
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| == Fifive == | | == Fifive == |
| [[Subgroup]]: 2.3.5 | | [[Subgroup]]: 2.3.5 |
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| * Dirichlet: 4.828 | | * Dirichlet: 4.828 |
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| === 2.3.5.13 subgroup ===
| | {{databox |
| | | 141c<0 5 '7 13:6] |
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| Subgroup: 2.3.5.13 | | Subgroup: 2.3.5.13 |
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| * Dirichlet: 0.800 | | * Dirichlet: 0.800 |
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| === 2.3.5.13.17 subgroup ===
| | {{databox |
| | | 141c<0 5 '7 13:6 17:'5] |
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| Subgroup: 2.3.5.13.17 | | Subgroup: 2.3.5.13.17 |
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| * Dirichlet: 0.488 | | * Dirichlet: 0.488 |
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| == Crepuscular ==
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| | {{databox |
| | | 140c<0 5 '7 7] |
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| {{See also| Jubilismic clan #Crepuscular }} | | {{See also| Jubilismic clan #Crepuscular }} |
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| [[Badness]]: 0.086669 | | [[Badness]]: 0.086669 |
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| === 11-limit ===
| | {{databox |
| | | 141c<0 5 '7 7 4] |
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| Subgroup: 2.3.5.7.11 | | Subgroup: 2.3.5.7.11 |
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| Badness: 0.040758 | | Badness: 0.040758 |
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| === 13-limit ===
| | {{databox |
| | | 141c<0 5 '7 7 4 6] |
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| Subgroup: 2.3.5.7.11.13 | | Subgroup: 2.3.5.7.11.13 |
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| Badness: 0.024368 | | Badness: 0.024368 |
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| === 17-limit ===
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 50/49, 78/77, 85/84, 99/98, 144/143
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| Mapping: {{mapping| 2 2 3 4 6 6 7 | 0 5 7 7 4 6 5 }}
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| Optimal tuning (POTE): ~7/5 = 1\2, ~12/11 = 140.405
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| {{Optimal ET sequence|legend=1| 8d, 26, 34d, 60d }}
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| Badness: 0.018567
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| == Fifives ==
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| [[Subgroup]]: 2.3.5.7
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| [[Comma list]]: 875/864, 83349/81920
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| {{Mapping|legend=1| 2 2 3 7 | 0 5 7 -6 }}
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| [[Optimal tuning]] ([[POTE]]): ~567/400 = 1\2, ~27/25 = 139.909
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| {{Optimal ET sequence|legend=1| 8, 26, 34, 60 }}
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| [[Badness]]: 0.130589
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| === 11-limit ===
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| Subgroup: 2.3.5.7.11
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| Comma list: 100/99, 385/384, 3969/3872
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| Mapping: {{mapping| 2 2 3 7 6 | 0 5 7 -6 4 }}
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| Optimal tuning (POTE): ~63/44 = 1\2, ~12/11 = 139.884
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| {{Optimal ET sequence|legend=1| 8, 26, 34, 60 }}
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| Badness: 0.080306
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| === 13-limit ===
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| Subgroup: 2.3.5.7.11.13
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| Comma list: 100/99, 105/104, 144/143, 1352/1331
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| Mapping: {{mapping| 2 2 3 7 6 6 | 0 5 7 -6 4 6 }}
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| Optimal tuning (POTE): ~55/39 = 1\2, ~12/11 = 139.867
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| {{Optimal ET sequence|legend=1| 8, 26, 34, 60 }}
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| Badness: 0.044253
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| === 17-limit ===
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| Subgroup: 2.3.5.7.11.13.17
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| Comma list: 100/99, 105/104, 144/143, 170/169, 221/220
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| Mapping: {{mapping| 2 2 3 7 6 6 7 | 0 5 7 -6 4 6 5 }}
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| Optimal tuning (POTE): ~17/12 = 1\2, ~12/11 = 139.868
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| {{Optimal ET sequence|legend=1| 8, 26, 34, 60 }}
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| Badness: 0.029429
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| == Fourfives ==
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| {{See also| Sensamagic clan }}
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| [[Subgroup]]: 2.3.5.7
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| [[Comma list]]: 245/243, 235298/234375
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| {{Mapping|legend=1| 4 4 6 7 | 0 5 7 9 }}
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| : mapping generators: ~25/21, ~27/25
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| [[Optimal tuning]] ([[POTE]]): ~25/21 = 1\4, ~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: {{mapping| 4 4 6 7 19 | 0 5 7 9 -11 }}
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| Optimal tuning (POTE): ~25/21 = 1\4, ~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: {{mapping| 4 4 6 7 19 12 | 0 5 7 9 -11 6 }}
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| Optimal tuning (POTE): ~25/21 = 1\4, ~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: {{mapping| 4 4 6 7 11 | 0 5 7 9 6 }}
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| Optimal tuning (POTE): ~25/21 = 1\4, ~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: {{mapping| 4 4 6 7 11 12 | 0 5 7 9 6 6 }}
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| Optimal tuning (POTE): ~25/21 = 1\4, ~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: {{mapping| 4 4 6 7 11 12 14 | 0 5 7 9 6 6 5 }}
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| Optimal tuning (POTE): ~25/21 = 1\4, ~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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| == Notes ==
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| [[Category:Temperament families]]
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| [[Category:Fifive family| ]] <!-- main article -->
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| [[Category:Fifive| ]] <!-- key article -->
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| [[Category:Rank 2]]
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