4296edo: Difference between revisions

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			{{Infobox ET}}
	The '''4296 equal division''' divides the octave into 4296 steps of 0.2793 cents each, which means that one cent is exactly 3.58 steps of 4296 edo. It is an extraordinarily strong 5-limit system, tempering out raider, \|71 -99 37>, pirate, \|-90 -15 49> and the Kirnberger atom, \|161 -84 -12>. Not until [[73709edo\|73709]] do we reach a division with a lower 5-limit relative error, and not until [[6796263edo\|6796263]] do we find a lower logflat badness. It is uniquely consistent through the 9 odd limit, and in the 7-limit, it tempers out the landscape comma, 250047/250000, and so [[support]]s the 7-limit version of the 612&1848 temperament.		The '''4296 equal division''' divides the octave into 4296 steps of 0.2793 cents each, which means that one cent is exactly 3.58 steps of 4296 edo. It is an extraordinarily strong 5-limit system, tempering out raider, \|71 -99 37>, pirate, \|-90 -15 49> and the Kirnberger atom, \|161 -84 -12>. Not until [[73709edo\|73709]] do we reach a division with a lower 5-limit relative error, and not until [[6796263edo\|6796263]] do we find a lower logflat badness. It is uniquely consistent through the 9 odd limit, and in the 7-limit, it tempers out the landscape comma, 250047/250000, and so [[support]]s the 7-limit version of the 612&1848 temperament.