Arcturus: Difference between revisions

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 {{tdhat|No-twos subgroup temperaments#Arcturus}}
 {{URWTC}}
-'''Arcturus''' is the [[rank]]-2 [[regular temperament]] on the 3.5.7 [[subgroup]] that [[tempers out]] the Arcturus comma, [[15625/15309]]. Having an ~[[5/3]] as a generator, this temperament is the application of the [[Pythagorean]] principle of tuning a stack of the next higher prime number and then factoring out powers of the equivalence to [[tritave]] composition. However, a heptatonic [[MOS]] (2L 5s{{angbr|3/1}}) will not suffice to produce an understandable rendition of it because a very close ~5/3 generates a L:s ratio between 4:1 and 5:1, which is beginning to get too lopsided to still be a complete presentation of a temperament.
+'''Arcturus''' is the [[rank]]-2 [[regular temperament]] of the 3.5.7 [[subgroup]] that [[tempers out]] the Arcturus comma, [[15625/15309]]. Having an ~[[5/3]] as a generator, this temperament is the application of the [[Pythagorean]] principle of tuning a stack of the next higher prime number and then factoring out powers of the equivalence to [[tritave]] composition. However, a heptatonic [[MOS]] (2L 5s{{angbr|3/1}}) will not suffice to produce an understandable rendition of it because a very close ~5/3 generates a L:s ratio between 4:1 and 5:1, which is beginning to get too lopsided to still be a complete presentation of a temperament.
 == Etymology ==