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]] | The most accurate choice for extending 2/5-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]]. 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 13:18, 19 October 2024
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
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. 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.