1/7-comma meantone
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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 91edo and by the POTE tuning of the domineering temperament.
135/128 is the eigenmonzo (unchanged-interval) of 1/7-comma meantone.
Tuning profile
| [⟨ | 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]
Mistuning map: ⟨0 -3.0723 +9.2170 +20.0008]