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. | ||
Revision as of 22:15, 4 October 2022
| ← 2189edo | 2190edo | 2191edo → |
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 relative error, and nothing beats it until 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.
2190 factors as 2 * 3 * 5 * 73; among its divisors is the Woolhouse unit system, 730.