1/7-comma meantone: Difference between revisions

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'''1/7-comma meantone''' is the tuning of [[meantone]] temperament which tunes the fifth as 698.883 [[cent]]s. This means the fifth is flattened by 1/7 of the [[81/80|syntonic comma (81/80)]] of 21.506 cents, which is to say by 3.072 cents. It was proposed by Jean-Baptiste Romieu in 1758. It is the tuning used by Farley’s House of Pianos in Madison, and advocated by its owner Tim Farley. It is approximated near perfectly by [[91edo]].

'''1/7-comma meantone''' is the tuning of [[meantone]] temperament which tunes the fifth as 698.883 [[cent]]s. This means the fifth is flattened by 1/7 of the [[81/80|syntonic comma (81/80)]] of 21.506 cents, which is to say by 3.072 cents.

It was proposed by Jean-Baptiste Romieu in 1758. It is the tuning used by Farley’s House of Pianos in Madison, Wisconsin, and advocated by its owner Tim Farley.

It is approximated near perfectly by the c val of [[91edo]] and by the [[POTE]] tuning of the [[domineering]] temperament.

[[135/128]] is the [[eigenmonzo]] (unchanged interval) of 1/7-comma meantone.

== Tuning profile ==

[[Projection map]]:

{| class="right-all"

|-

| [⟨ || 1 || 4/7 || -12/7 || -51/7 || ]

|-

| ⟨ || 0 || 3/7 || 12/7 || 30/7 || ]

|-

| ⟨ || 0 || 1/7 || 4/7 || 10/7 || ]

|-

| ⟨ || 0 || 0 || 0 || 0 || ]]

|}

[[Tuning map]]: {{val| 1200 1898.8827 2795.5307 3388.8267 }}

[[Error map]]: {{val| 0 -3.0723 +9.2170 +20.0008 }}

== External links ==

* [https://www.farleyspianos.com/files/meantone-tuning-instructions.pdf ''One Seventh Comma Modified Meantone As An All-Around Tuning System''] by Tim Farley

[[Category:Domineering]]

[[Category:Meantone]]

[[Category:Historical]]

[[Category:91edo]]

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-'''1/7-comma meantone''' is the tuning of [[meantone]] temperament which tunes the fifth as 698.883 [[cent]]s. This means the fifth is flattened by 1/7 of the [[81/80|syntonic comma (81/80)]] of 21.506 cents, which is to say by 3.072 cents. It was proposed by Jean-Baptiste Romieu in 1758. It is the tuning used by Farley’s House of Pianos in Madison, and advocated by its owner Tim Farley. It is approximated near perfectly by [[91edo]].
+'''1/7-comma meantone''' is the tuning of [[meantone]] temperament which tunes the fifth as 698.883 [[cent]]s. This means the fifth is flattened by 1/7 of the [[81/80|syntonic comma (81/80)]] of 21.506 cents, which is to say by 3.072 cents.
+It was proposed by Jean-Baptiste Romieu in 1758. It is the tuning used by Farley’s House of Pianos in Madison, Wisconsin, and advocated by its owner Tim Farley.
+It is approximated near perfectly by the c val of [[91edo]] and by the [[POTE]] tuning of the [[domineering]] temperament.
+[[135/128]] is the [[eigenmonzo]] (unchanged interval) of 1/7-comma meantone.
+== Tuning profile ==
+[[Projection map]]:
+{| class="right-all"
+|-
+| [⟨ || 1 || 4/7 || -12/7 || -51/7 || ]
+|-
+| ⟨ || 0 || 3/7 || 12/7 || 30/7 || ]
+|-
+| ⟨ || 0 || 1/7 || 4/7 || 10/7 || ]
+|-
+| ⟨ || 0 || 0 || 0 || 0 || ]]
+|}
+[[Tuning map]]: {{val| 1200 1898.8827 2795.5307 3388.8267 }}
+[[Error map]]: {{val| 0 -3.0723 +9.2170 +20.0008 }}
+== External links ==
+* [https://www.farleyspianos.com/files/meantone-tuning-instructions.pdf ''One Seventh Comma Modified Meantone As An All-Around Tuning System''] by Tim Farley
+[[Category:Domineering]]
 [[Category:Meantone]]
 [[Category:Historical]]
+[[Category:91edo]]