2513edo: Difference between revisions

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			{{Infobox ET}}
	The '''2513 division''' divides the octave into 2513 equal parts of 0.4775 cents each. It 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\|4296edo]]. A basis for its 5-limit commas is senior, \|-17 62 -35> and fortune, \|-107 47 14>; it also tempers out pirate, \|-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.		The '''2513 division''' divides the octave into 2513 equal parts of 0.4775 cents each. It 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\|4296edo]]. A basis for its 5-limit commas is senior, \|-17 62 -35> and fortune, \|-107 47 14>; it also tempers out pirate, \|-90 -15 49>. It is uniquely consistent through to the 11-limit, and tempers out 420175/419904 in the 7-limit and 151263/151250 and 234375/234256 in the 11-limit.