2513edo: Difference between revisions
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2513edo is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] than any edo until we reach the cosmically excellent [[4296edo]]. 2513 = {{factorization|2513}}, and it shares its [[harmonic]] [[3/1|3]] with [[359edo]]. A basis for its 5-limit commas consists of senior, {{monzo| -17 62 -35 }}, and fortune, {{monzo| -107 47 14 }}; it also [[tempering out|tempers out]] pirate, {{monzo| -90 -15 49 }}. It is uniquely [[consistent]] through to the [[11-odd-limit]], and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit. | 2513edo is a very strong 5-limit system, with a lower 5-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] than any edo until we reach the cosmically excellent [[4296edo]]. 2513 = {{factorization|2513}}, and it shares its [[harmonic]] [[3/1|3]] with [[359edo]]. A basis for its 5-limit commas consists of senior, {{monzo| -17 62 -35 }}, and fortune, {{monzo| -107 47 14 }}; it also [[tempering out|tempers out]] pirate, {{monzo| -90 -15 49 }}. It is uniquely [[consistent]] through to the [[11-odd-limit]], and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit. | ||