94edo: Difference between revisions
Dave Keenan (talk | contribs) →Sagittal: Swapped order of sagittal and conventional to agree with staff notation, consistent with similar tables for other EDOs. |
→Subsets and supersets: Add 282edo as superset |
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 94 factors into primes as {{nowrap| 2 × 47 }}, 94edo contains [[2edo]] and [[47edo]] as subset edos. It can be thought of as two sets of 47edo offset by one step of 94edo. It inherits from 47edo's good approximations of primes 5, 7, 13, and 17, while dramatically improving on prime 3, as well as primes 11, 19, and 23 to a lesser degree. | Since 94 factors into primes as {{nowrap| 2 × 47 }}, 94edo contains [[2edo]] and [[47edo]] as subset edos. It can be thought of as two sets of 47edo offset by one step of 94edo. It inherits from 47edo's good approximations of primes 5, 7, 13, and 17, while dramatically improving on prime 3, as well as primes 11, 19, and 23 to a lesser degree. Tripling 94edo yields [[282edo]], which converts flat-tending harmonics to sharp, so as to achieve distinct consistency through the 23-limit and consistency through the 29-limit. | ||
== Intervals == | == Intervals == | ||