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| {{Todo|inline=1|merge articles|comment= [[Polaris]] → [[No-twos subgroup temperaments]] }}
| | #redirect [[No-twos subgroup temperaments #Polaris]] |
| '''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 [[5/3]]'s fall short of [[15/11]]. 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 hendecatonic scale is generally the most usable of these, with the heptatonic and nonatonic scales usually being lopsided. Good tunings for Polaris are [[15edt]] and [[32edt]].
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| Technical data: [[No-twos subgroup temperaments#Polaris]]
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| == Interval chain (CTE 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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| |-
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| | 0
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| | 0.0
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| |-
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| | 1
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| | 892.6
| |
| |-
| |
| | 2
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| | 1785.2
| |
| |-
| |
| | 3
| |
| | 775.8
| |
| |-
| |
| | 4
| |
| | 1668.4
| |
| |-
| |
| | 5
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| | 659.0
| |
| |-
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| | 6
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| | 1551.6
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| |-
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| | 7
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| | 542.2
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| |-
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| | 8
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| | 1434.8
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| |-
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| | 9
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| | 425.4
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| |-
| |
| | 10
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| | 1318.0
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| |}
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| == Chords ==
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| Due to equating 7 5/3's with 15/11, Polaris contains an accurate tuning of the chord 33:45:55.
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| == Scales ==
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| * [[Polaris9]]
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| * [[Polaris11]]
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| [[Category:Polaris| ]] <!-- main article -->
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| [[Category:Rank-2 temperaments]] | | [[Category:Rank-2 temperaments]] |
| [[Category:Non-octave temperaments]] | | [[Category:Non-octave temperaments]] |