View source for Meanquad

'''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]].

== Interval chain (POTE tuning) ==
{|class="wikitable"
|-
! Generators up
! Cents
|-
| 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
| 1161.6
|}

== Tunings ==
[[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]].

== Scales ==
* [[Meanquad10]]

[[Category:Meanquad| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Non-octave temperaments]]