768edo: Difference between revisions
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→Theory: it's actually an 11-limit OPV for bezique |
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{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
768edo is [[consistent]] in the [[7-odd-limit]]. The equal temperament [[tempering out|tempers out]] the [[mutt comma]] {{monzo| -44 -3 21 }} and the 5-limit [[bicommatic]] comma {{monzo| -37 38 -10 }} in the 5-limit, and [[horwell comma|65625/65536]], [[250047/250000]], [[mitonismic temperaments|5250987/5242880]], {{monzo| -12 -5 11 -2 }}, {{monzo| 7 18 -2 -11 }}, and {{monzo| -36 8 4 5 }} in the 7-limit. | 768edo is [[consistent]] in the [[7-odd-limit]]. The equal temperament [[tempering out|tempers out]] the [[mutt comma]] {{monzo| -44 -3 21 }} and the 5-limit [[bicommatic]] comma {{monzo| -37 38 -10 }} in the 5-limit, and [[horwell comma|65625/65536]], [[250047/250000]], [[mitonismic temperaments|5250987/5242880]], {{monzo| -12 -5 11 -2 }}, {{monzo| 7 18 -2 -11 }}, and {{monzo| -36 8 4 5 }} in the 7-limit. | ||
It provides the 11-limit [[optimal patent val]] for the 32nd-octave [[bezique]] temperament. | |||
=== As a tuning standard === | === As a tuning standard === | ||