2/5-comma meantone: Difference between revisions

BudjarnLambeth (talk | contribs)
mNo edit summary
BudjarnLambeth (talk | contribs)
m Mathematical interest
 
(6 intermediate revisions by 3 users not shown)
Line 1: Line 1:
{{Novelty}}
{{Mathematical interest}}


'''2/5-comma meantone''' is a tuning of meantone where the [[3/2|fifth]] is flattened by 2/5 of the [[81/80|syntonic comma]], producing a fifth of 693.352 cents. This is approximated well by [[45edo]].
'''2/5-comma meantone''' is a tuning of meantone where the [[3/2|fifth]] is flattened by 2/5 of the [[81/80|syntonic comma]], producing a fifth of 693.352 cents; its [[eigenmonzo]] is [[27/25]]. This is approximated well by [[45edo]].


The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament.
The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament. In fact, 2/5-comma meantone’s fifth is almost exactly the optimal [[CTE]] generator for 11-limit flattone — less than 0.2 cents different.


[[Category:Meantone]]
[[Category:Meantone]]