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| '''Polaris''' is a [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma 177147/171875 in the 3.5.11 subgroup, the amount by which 7 [9/5]]'s fall short of [[15/11]]. It enables 9:11:15 no-twos chords. Polaris temperament is to [[Arcturus]] as [[meantone]] temperament is to [[Pythagorean tuning]]. It contains [[MOS scale]]s of the families [[2L 5s (tritave-equivalent)|2L 5s<3/1>]], [[2L 7s (tritave-equivalent)|2L 7s<3/1>]], and [[2L 9s (tritave-equivalent)|2L 9s<3/1>]]. The smallest EDT that can seriously claim to support Polaris temperament is [[15edt]], with [[17edt]] also being a good option.
| | #redirect [[No-twos subgroup temperaments #Polaris]] |
| == Interval chain (CTE tuning) ==
| | |
| {|class="wikitable"
| | [[Category:Rank-2 temperaments]] |
| |-
| | [[Category:Non-octave temperaments]] |
| !Generators up
| |
| !Cents
| |
| |-
| |
| |0
| |
| |0.0
| |
| |-
| |
| |1
| |
| |892.6
| |
| |-
| |
| |2
| |
| |1785.2
| |
| |-
| |
| |3
| |
| |775.8
| |
| |-
| |
| |4
| |
| |1668.4
| |
| |-
| |
| |5
| |
| |659.0
| |
| |-
| |
| |6
| |
| |1551.6
| |
| |-
| |
| |7
| |
| |542.2
| |
| |-
| |
| |8
| |
| |1434.8
| |
| |-
| |
| |9
| |
| |425.4
| |
| |-
| |
| |10
| |
| |1318.0
| |
| |}
| |
| == Scales ==
| |
| * [[Polaris9]]
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| * [[Polaris11]]
| |