5/9-comma meantone: Difference between revisions

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-'''5/9 comma meantone''' is a tuning meantone where the fifth, 3/2, is flattened by 5/9 of the syntonic comma. This produces a fifth of 690.007 cents. This is approximated well by 40edo, using the 40c val.
+{{Mathematical interest}}
+'''5/9-comma meantone''' is a tuning of meantone where the [[3/2|fifth]] is flattened by 5/9 of the [[81/80|syntonic comma]], producing a fifth of 690.007 cents. This is approximated well by [[40edo]], using the 40c val. Its [[eigenmonzo]] is [[200000/177147]].
+The most accurate choice for extending 5/9-comma meantone into the [[7-limit]] or [[11-limit]] is [[flattertone]] temperament, however the meantone-mapped [[5/4]] is closer to [[16/13]] than 5/4 and using [[deeptone]] mapping for 5/4 makes more sense.
+[[Category:Meantone]]