2/5-comma meantone: Difference between revisions
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'''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. 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 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]] | ||
Revision as of 11:27, 19 October 2024
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2/5-comma meantone is a tuning of meantone where the fifth is flattened by 2/5 of the syntonic comma, producing a fifth of 693.352 cents. 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.