4/9-comma meantone: Difference between revisions

Add eigenmonzo 2500/2187 and nearest useful approximation 8/7. Recommend (but did not do) removing Novelty tag.
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{{Novelty}}
{{Novelty}}


'''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]]