2190edo: Difference between revisions

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	The 2190 equal division divides the octave into 2190 equal parts of 0.5479 cents each. It is is a very strong 13-limit system; no smaller division has a smaller 13-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]], and nothing beats it until [[2684edo\|2684]]. A basis for the 13-limit commas is {9801/9800, 10648/10647, 105644/105625, 140625/140608, 196625/196608}; also tempered out are 123201/123200 and 151263/151250.		The 2190 equal division divides the octave into 2190 equal parts of 0.5479 cents each. It is is a very strong 13-limit system; no smaller division has a smaller 13-limit [[Tenney-Euclidean_temperament_measures#TE simple badness\|relative error]], and nothing beats it until [[2684edo\|2684]]. A basis for the 13-limit commas is {9801/9800, 10648/10647, 105644/105625, 140625/140608, 196625/196608}; also tempered out are 123201/123200 and 151263/151250.

	~~2160~~ factors as 2 * 3 * 5 * 73; among its divisors is the Woolhouse unit system, [[730edo\|730]].		2190 factors as 2 * 3 * 5 * 73; among its divisors is the Woolhouse unit system, [[730edo\|730]].