293edo: Difference between revisions

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Using the [[patent val]], {{val|293 464 680 823}}, 293edo [[tempering out|tempers out]] the [[parakleisma]] and {{monzo| -40 15 7 }} in the 5-limit and the [[marvel comma]] in the 7-limit. The 293bb val, with {{val|293 '''463''' 680 823}}, is a tuning close to the [[POTE]] tuning for the [[meantone]] temperament. 293bcd, {{val|293 '''465 681 822'''}} is a tuning for [[quartonic]].

In the 11-limit, 293de val, {{val|293 464 680 '''822 1013'''}} is a tuning for [[hemiseven]], and and in the 13-limit, 293ef val {{val|293 464 680 823 '''1013 1085'''}} tunes [[merman]].

In the 11-limit, 293de val, {{val|293 464 680 '''822 1013'''}} provides a tuning close to the [[POTE]] tuning for [[hemiseven]], and and in the 13-limit, 293ef val {{val|293 464 680 823 '''1013 1085'''}} tunes [[merman]].

293edo nonetheless has good approximations to [[6/5]], [[11/7]], [[17/11]], [[19/17]], [[24/23]], [[25/17]], [[25/19]], and respectively their octave inversions. [[21/16]], which is a composite octave-reduced harmonic, is also well represented.

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 Using the [[patent val]], {{val|293 464 680 823}}, 293edo [[tempering out|tempers out]] the [[parakleisma]] and {{monzo| -40 15 7 }} in the 5-limit and the [[marvel comma]] in the 7-limit. The 293bb val, with {{val|293 '''463''' 680 823}}, is a tuning close to the [[POTE]] tuning for the [[meantone]] temperament. 293bcd, {{val|293 '''465 681 822'''}} is a tuning for [[quartonic]].
-In the 11-limit, 293de val, {{val|293 464 680 '''822 1013'''}} is a tuning for [[hemiseven]], and and in the 13-limit, 293ef val {{val|293 464 680 823 '''1013 1085'''}} tunes [[merman]].
+In the 11-limit, 293de val, {{val|293 464 680 '''822 1013'''}} provides a tuning close to the [[POTE]] tuning for [[hemiseven]], and and in the 13-limit, 293ef val {{val|293 464 680 823 '''1013 1085'''}} tunes [[merman]].
 edo nonetheless has good approximations to [[6/5]], [[11/7]], [[17/11]], [[19/17]], [[24/23]], [[25/17]], [[25/19]], and respectively their octave inversions. [[21/16]], which is a composite octave-reduced harmonic, is also well represented.