Meantone family: Difference between revisions

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[[Comma|Comma]]s: 21/20, 28/27
[[Comma|Comma]]s: 21/20, 28/27


Sharptone, with a wedgie <<1 4 3 4 2 -4||, is a low-accuracy temperament tempering out 21/20 and 28/27. In sharptone, a 7/4 is a major sixth, a 7/6 a whole tone, and a 7/5 a fourth. Genuinely septimal sounding harmony therefore cannot be expected, but it can be used to translate, more or less, 7-limit JI into 5-limit meantone. [[12edo|12edo]] tuning does sharptone about as well as such a thing can be done.
Sharptone, with a wedgie <<1 4 3 4 2 -4||, is a low-accuracy temperament tempering out 21/20 and 28/27. In sharptone, a 7/4 is a major sixth, a 7/6 a whole tone, and a 7/5 a fourth. Genuinely septimal sounding harmony therefore cannot be expected, but it can be used to translate, more or less, 7-limit JI into 5-limit meantone. [[12edo|12edo]] tuning does sharptone about as well as such a thing can be done, of course not in its patent val.


[[POTE_tuning|POTE generator]]: 700.140
[[POTE_tuning|POTE generator]]: 700.140