1/7-comma meantone: Difference between revisions

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It is approximated near perfectly by the c val of [[91edo]] and by the [[POTE]] tuning of the [[domineering]] temperament.
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.
[[135/128]] is the [[eigenmonzo]] (unchanged interval) of 1/7-comma meantone.


== Tuning profile ==
== Tuning profile ==

Latest revision as of 06:59, 21 June 2025

1/7-comma meantone is the tuning of meantone temperament which tunes the fifth as 698.883 cents. This means the fifth is flattened by 1/7 of the 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:

[⟨ 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: 1200 1898.8827 2795.5307 3388.8267]

Error map: 0 -3.0723 +9.2170 +20.0008]

External links