2/5-comma meantone: Difference between revisions
No edit summary Tags: Mobile edit Mobile web edit Advanced mobile edit |
m Mathematical interest |
||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
{{ | {{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. 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. | 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]] | ||