3/4-comma meantone: Difference between revisions
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{{ | {{Mathematical interest}} | ||
'''3/4-comma meantone''' is a tuning of [[meantone]] where the [[3/2|fifth]] is flattened by 3/4 of the [[81/80|syntonic comma]], producing a fifth of 685.825 cents. This is approximated well by [[7edo]]. | '''3/4-comma meantone''' is a tuning of [[meantone]] where the [[3/2|fifth]] is flattened by 3/4 of the [[81/80|syntonic comma]], producing a fifth of 685.825 cents. This is approximated well by [[7edo]]. Its [[eigenmonzo]] is [[8000/6561]], a neutral third very close to 2\7. | ||
In terms of how [[just intonation]] intervals are mapped, 3/4-comma meantone is severely inaccurate within a meantone framework, particularly in terms of its [[5/4]]. It might make more sense to interpret it as a different [[5-limit]] temperament instead of meantone: [[deeptone]]. 3/4-comma’s fifth works better as a deeptone generator. | In terms of how [[just intonation]] intervals are mapped, 3/4-comma meantone is severely inaccurate within a meantone framework, particularly in terms of its [[5/4]]. It might make more sense to interpret it as a different [[5-limit]] temperament instead of meantone: [[deeptone]]. 3/4-comma’s fifth works better as a deeptone generator. | ||