User:TallKite/Midpoints: Difference between revisions

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== Occurences ==
== Occurences ==


While neutrals and interordinals exist in JI, just intervals are never midpoints, because of the unique prime-factorization theorem. Mid intervals only exist in edos of even sharpness and rank-2 or higher temps that have an EI of vvA1 or v⁴A1 or v⁶A1, etc. And mid interordinals only exist in edos of even penta-sharpness and rank-2 or higher temps that have an EI of vvm2 or v⁴m2 or v⁶m2, etc.
While neutrals and interordinals exist in JI, just intervals are never midpoints, because of the unique prime-factorization theorem. Mid intervals only exist in edos of even sharpness and rank-2 or higher temps that have an [[Enharmonic unison|EU]] of vvA1 or v⁴A1 or v⁶A1, etc. And mid interordinals only exist in edos of even penta-sharpness and rank-2 or higher temps that have an EU of vvm2 or v⁴m2 or v⁶m2, etc.


What about (P8/2, P5)? it has vvd2 and a +4.
What about (P8/2, P5)? it has vvd2 and a +4.