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| [[File:Salmon7.wav|thumb|Catfish[7] scale and 11:13:17 chord on A in 20ed11/5 tuning]] | | #redirect [[No-twos subgroup temperaments #Catfish]] |
| '''Catfish''' is a [[11/5]]-repeating no-twos-or-threes [[rank-2 temperament]] which tempers out the commas 2093663/2088025 and 54925/54043 in the 11/5.11.13.17 fractional subgroup (equatable to 5.11.13.17). This implies a generator approximating [[17/11]] or its inverse 121/85. It can be viewed as the no-twos-or-threes analog to [[meantone]] with 11:13:17 being the substitute for 4:5:6. It possesses MOS scales of the families 2L 3s<11/5>, 2L 5s<11/5>, 2L 7s<11/5>, and 9L 2s<11/5>.
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| [[20ed11/5]] is one of the best tunings for this temperament, although it does noticeably flatten the [[13/11]] in the 11:13:17 chord. | | [[Category:Rank-2 temperaments]] |
| == Interval chain (CTE tuning) ==
| | [[Category:Non-octave temperaments]] |
| {|class="wikitable"
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| |-
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| !Generators up
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| !Cents
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| |-
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| |0
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| |0.0
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| |-
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| |1
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| |613.3
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| |-
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| |2
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| |1226.6
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| |-
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| |3
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| |474.9
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| |-
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| |4
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| |1088.2
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| |-
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| |5
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| |336.5
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| |-
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| |6
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| |949.8
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| |-
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| |7
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| |198.1
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| |}
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| ==[[Ed11/5]] tunings ==
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| *[[9ed11/5]] using 4\9ed11/5
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| *[[11ed11/5]] using 5\11ed11/5
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| *[[20ed11/5]] using 9\20ed11/5
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| *[[29ed11/5]] using 13\29ed11/5
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| ==Scales==
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| *[[Catfish7]]
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| *[[Catfish9]]
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| ==Temperament data==
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| [[Subgroup]]: 11/5.11.13.17
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| [[Comma list]]: 2093663/2088025, 54925/54043
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| [[Mapping]]: [⟨1 -1 1 4], ⟨0 9 5 -1]]
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| [[Constrained tuning|CTE generator]]: ~121/85 = 613.305
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| [[Category:Temperaments]]
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| [[Category:Nonoctave]]
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