2684edo

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The 2684 equal divisions of the octave divides the octave into 2684 equal parts of 0.4471 cents each. It is a very strong 13-limit tuning, with a lower 13-limit relative error than any division until we reach 5585edo. It is distinctly consistent though the 17-odd-limit, and is both a zeta peak and zeta integral edo. A basis for its 13-limit commas is {9801/9800, 10648/10647, 140625/140608, 196625/196608, 823680/823543}; it also tempers out 123201/123200. It factors as 22 × 11 × 61, with divisors 2, 4, 11, 22, 44, 61, 122, 244, 615, and 1230.

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