2/9-comma meantone: Difference between revisions

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'''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 4.779 cents (2/9 of a [[syntonic comma]]). This results in a fifth of 697.176 [[cents]].

2/9-comma meantone was described by {{w|Lemme Rossi}} in ''Sistema musico ouero Musica speculativa'' (1666), and again by {{w|Moritz Wilhelm Drobisch}} in ''Über musikalische Tonbestimmung und Temperatur'' (1852). It tunes [[75/64]] pure, and [[5/4]] and [[15/8]] are off by 1/9 comma each. Of all the known [[historical temperaments]], it is the closest to the ~~optimal~~ 5-, 7~~-, 11- and 13~~-limit [[CTE]] tunings for meantone. It is approximated by [[74edo]] sharply and is even closer to [[105edo]], which is slightly flatter than it.

2/9-comma meantone was described by {{w|Lemme Rossi}} in ''Sistema musico ouero Musica speculativa'' (1666), and again by {{w|Moritz Wilhelm Drobisch}} in ''Über musikalische Tonbestimmung und Temperatur'' (1852). It tunes [[75/64]] pure, and [[5/4]] and [[15/8]] are off by 1/9 comma each. Of all the known [[historical temperaments]], it is the closest to the 5- and 7-limit [[CTE]] tunings for meantone. It is approximated by [[74edo]] sharply and is even closer to [[105edo]], which is slightly flatter than it.

== Tuning profile ==

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 '''2/9-comma meantone''' is a [[meantone]] tuning which flattens the [[perfect fifth]] by 4.779 cents (2/9 of a [[syntonic comma]]). This results in a fifth of 697.176 [[cents]].
-/9-comma meantone was described by {{w|Lemme Rossi}} in ''Sistema musico ouero Musica speculativa'' (1666), and again by {{w|Moritz Wilhelm Drobisch}} in ''Über musikalische Tonbestimmung und Temperatur'' (1852). It tunes [[75/64]] pure, and [[5/4]] and [[15/8]] are off by 1/9 comma each. Of all the known [[historical temperaments]], it is the closest to the optimal 5-, 7-, 11- and 13-limit [[CTE]] tunings for meantone. It is approximated by [[74edo]] sharply and is even closer to [[105edo]], which is slightly flatter than it.
+/9-comma meantone was described by {{w|Lemme Rossi}} in ''Sistema musico ouero Musica speculativa'' (1666), and again by {{w|Moritz Wilhelm Drobisch}} in ''Über musikalische Tonbestimmung und Temperatur'' (1852). It tunes [[75/64]] pure, and [[5/4]] and [[15/8]] are off by 1/9 comma each. Of all the known [[historical temperaments]], it is the closest to the 5- and 7-limit [[CTE]] tunings for meantone. It is approximated by [[74edo]] sharply and is even closer to [[105edo]], which is slightly flatter than it.
 == Tuning profile ==