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| '''Meanquad''' is a [[4/1|double octave]]-repeating [[rank-2 temperament]] that tempers [[81/80]] in the 4.5.6 subgroup. Similarly to [[meantone]], it has a flat [[3/2]] as generator and equates [[5/4]] and [[81/64]]. It possesses [[MOS scales]] of the forms [[3L 4s (4/1-equivalent)|3L 4s<4/1>]], [[7L 3s (4/1-equivalent)|7L 3s<4/1>]], and [[7L 10s (4/1-equivalent)|7L 10s<4/1>]], which could be viewed as equivalents to the pentatonic, diatonic, and meantone chromatic scales respectively. For more techincal data, see [[7L 3s (4/1-equivalent)#Meanquad]].
| | #redirect [[Subgroup temperaments #Meanquad]] |
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| == Interval chain (POTE tuning) ==
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| {|class="wikitable"
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| |-
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| ! Generators up
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| ! Cents
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| |-
| |
| | 0
| |
| | 0.0
| |
| |-
| |
| | 1
| |
| | 696.8
| |
| |-
| |
| | 2
| |
| | 1393.6
| |
| |-
| |
| | 3
| |
| | 2090.4
| |
| |-
| |
| | 4
| |
| | 387.2
| |
| |-
| |
| | 5
| |
| | 1084.0
| |
| |-
| |
| | 6
| |
| | 1780.8
| |
| |-
| |
| | 7
| |
| | 77.6
| |
| |-
| |
| | 8
| |
| | 774.4
| |
| |-
| |
| | 9
| |
| | 1471.2
| |
| |-
| |
| | 10
| |
| | 2168.0
| |
| |-
| |
| | 11
| |
| | 464.8
| |
| |-
| |
| | 12
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| | 1161.6
| |
| |}
| |
|
| |
| == Tunings ==
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| [[17ed4]] is the smallest tuning that [[support]]s this temperament and features the decatonic scale. Like [[12edo]], it can be viewed as the boundary between meanquad and the double-octave version of [[archy]]. Larger options include 24ed4 (12edo duplicate), [[31ed4]] and [[55ed4]].
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| == Scales ==
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| * [[Meanquad10]]
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| [[Category:Meanquad| ]] <!-- main article -->
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| [[Category:Rank-2 temperaments]] | | [[Category:Rank-2 temperaments]] |
| [[Category:Non-octave temperaments]] | | [[Category:Non-octave temperaments]] |