4/9-comma meantone: Difference between revisions
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Add eigenmonzo 2500/2187 and nearest useful approximation 8/7. Recommend (but did not do) removing Novelty tag. |
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'''4/9-comma meantone''' is a tuning of meantone where the [[3/2|fifth]] is flattened by 4/9 of the [[81/80|syntonic comma]], producing a fifth of 692.397 cents. This is approximated well by [[26edo]]. The eigenmonzo is [[2500/2187]] (231.569849¢), which is only 0.396¢ sharp of [[8/7]] (231.174094¢). | '''4/9-comma meantone''' is a tuning of meantone where the [[3/2|fifth]] is flattened by 4/9 of the [[81/80|syntonic comma]], producing a fifth of 692.397 cents. This is approximated well by [[26edo]]. The [[eigenmonzo]] is [[2500/2187]] (231.569849¢), which is only 0.396¢ sharp of [[8/7]] (231.174094¢). | ||
The most accurate choice for extending 4/9-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament. | The most accurate choice for extending 4/9-comma meantone into the [[7-limit]], [[11-limit]] or [[13-limit]] is [[flattone]] temperament. | ||
[[Category:Meantone]] | [[Category:Meantone]] | ||
Revision as of 05:11, 13 November 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. |
4/9-comma meantone is a tuning of meantone where the fifth is flattened by 4/9 of the syntonic comma, producing a fifth of 692.397 cents. This is approximated well by 26edo. The eigenmonzo is 2500/2187 (231.569849¢), which is only 0.396¢ sharp of 8/7 (231.174094¢).
The most accurate choice for extending 4/9-comma meantone into the 7-limit, 11-limit or 13-limit is flattone temperament.