2/7-comma meantone: Difference between revisions

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'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]])

'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]]) – that is, to about 695.81 [[cents]]. It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.

~~—~~that is, to about 695.81 [[cents]]. It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.

== Tuning profile ==

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[[Tuning map]]: {{val| 1200 1895.8103 2783.2414 3358.1035 }}

[[~~Mistuning~~ map]]: {{val| 0 -6.1447 -3.0723 -10.7224 }}

[[Error map]]: {{val| 0 -6.1447 -3.0723 -10.7224 }}

== Music ==

; [[Juhani Nuorvala]]

* [https://www.youtube.com/watch?v=kus7w1O6pCw ''Ten Chords from a Piece by Feldman''] (2025)

== See also ==

@@ Line 1: / Line 1: @@
-'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]])
+'''2/7-comma meantone''' is the tuning of [[meantone]] temperament in which the just perfect fifth of [[3/2]] is flattened by 2/7 of a syntonic comma ([[81/80]]) – that is, to about 695.81 [[cents]]. It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.
-&mdash;that is, to about 695.81 [[cents]]. It is one of the meantone tunings proposed early on, by Gioseffo Zarlino, Francisco Salinas and Vincenzo Galilei. It may be described as the regular tuning which tempers out 81/80 and tunes 2/1 and [[25/24]] purely. It is also the tuning where the major third ([[5/4]]) and the minor third ([[6/5]]) are equally flat from JI by 1/7 syntonic comma (''c''. 3.1 cents). It is approximated roughly by [[50edo]] sharply and [[69edo]] flatly, and near perfectly by [[119edo]] using the b val flat 5th.
 == Tuning profile ==
@@ Line 18: / Line 17: @@
 [[Tuning map]]: {{val| 1200 1895.8103 2783.2414 3358.1035 }}
-[[Mistuning map]]: {{val| 0 -6.1447 -3.0723 -10.7224 }}
+[[Error map]]: {{val| 0 -6.1447 -3.0723 -10.7224 }}
+== Music ==
+; [[Juhani Nuorvala]]
+* [https://www.youtube.com/watch?v=kus7w1O6pCw ''Ten Chords from a Piece by Feldman''] (2025)
 == See also ==