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]]) – 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 == | ||
[[Projection map]]: | |||
{| class="right-all" | |||
|- | |||
| [⟨ || 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]]: {{val| 1200 1895.8103 2783.2414 3358.1035 }} | |||
[[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 == | |||
* [http://www.tonalsoft.com/enc/number/2-7cmt.aspx Tonalsoft Encyclopedia | ''2/7-comma meantone''] | |||
[[Category:Meantone]] | |||
[[Category:Historical]] | |||
Latest revision as of 13:12, 16 April 2025
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.
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]
Error map: ⟨0 -6.1447 -3.0723 -10.7224]