2190edo: Difference between revisions
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Note its exceptional accuracy in the no-17 no-23 29-limit |
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{{EDO intro|2190}} | {{EDO intro|2190}} | ||
2190edo 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 [[tempering out|tempered out]] are [[123201/123200]] and 151263/151250. It is not as impressive beyond the 13-limit, though it does well in the 2.3.5.7.11.13.19.29 [[subgroup]]. | 2190edo 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 [[tempering out|tempered out]] are [[123201/123200]] and 151263/151250. It is not as impressive beyond the 13-limit, though it does well in the 2.3.5.7.11.13.19.29 [[subgroup]], holding the record of relative error until [[14618edo|14618]]. | ||
=== Prime harmonics === | === Prime harmonics === | ||