1/11-comma meantone: Difference between revisions
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{{Mathematical interest}} | {{Mathematical interest}} | ||
'''1/11-comma meantone''' is a tuning of meantone where the [[3/2|fifth]] is flattened by 1/11 of the [[81/80|syntonic comma]], producing a fifth of 699.9998836 cents. This is approximated well by [[12edo]], differing only by 1/132 of [[Kirnberger's atom]]. | '''1/11-comma meantone''' is a tuning of meantone where the [[3/2|fifth]] is flattened by 1/11 of the [[81/80|syntonic comma]], producing a fifth of 699.9998836 cents. This is approximated well by [[12edo]], differing only by 1/132 of [[Kirnberger's atom]]. Its [[eigenmonzo]] is [[10935/8192]], which is a [[schisma]]-raised [[4/3]]. | ||
In the [[7-limit]], 1/11-comma’s fifth is a good [[sharptone]] generator. In the [[11-limit]], it becomes a good [[meanertone]] generator. | In the [[7-limit]], 1/11-comma’s fifth is a good [[sharptone]] generator. In the [[11-limit]], it becomes a good [[meanertone]] generator. | ||
[[Category:Meantone]] | [[Category:Meantone]] | ||