3/4-comma meantone: Difference between revisions

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'''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]].

Revision as of 11:41, 18 March 2025


3/4-comma meantone is a tuning of meantone where the fifth is flattened by 3/4 of the syntonic comma, producing a fifth of 685.825 cents. This is approximated well by 7edo.

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.

One way of extending deeptone into the 7-limit, 11-limit and 13-limit is the jamesbond temperament.