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]]). 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]] and [[69edo]] | '''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]]). 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 == | == Tuning profile == | ||
Revision as of 04:13, 9 June 2024
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). 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
| [⟨ | 1 | 8/7 | 4/7 | -11/7 | ] |
| ⟨ | 0 | -1/7 | -4/7 | -10/7 | ] |
| ⟨ | 0 | 2/7 | 8/7 | 20/7 | ] |
| ⟨ | 0 | 0 | 0 | 0 | ]] |
Tuning map: ⟨1200 1895.8103 2783.2414 3358.1035]
Mistuning map: ⟨0 -6.1447 -3.0723 -10.7224]