2684edo: Difference between revisions

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-The 2684 division 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 [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]] than any division until we reach [[5585edo|5585edo]]. It is distinctly consistent though the 17 limit, and is both a [[The_Riemann_Zeta_Function_and_Tuning#Zeta EDO lists|zeta peak and zeta integral edo]]. A basis for its 13-limit commas is {9801/9800, 10648/10647, 196625/196608, 823680/823543, 1399680/1399489}; it also tempers out 123201/123200. It factors as 2684 = 2^2 * 11 * 61, so that [[22edo|22]] is a divisor.
+The '''2684 equal divisions of the octave''' divides the octave into 2684 equal parts of 0.4471 [[cent]]s each. It is a very strong 13-limit tuning, with a lower 13-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]] than any division until we reach [[5585edo]]. It is distinctly consistent though the [[17-odd-limit]], and is both a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak and zeta integral edo]]. A basis for its 13-limit commas is {9801/9800, 10648/10647, 196625/196608, 823680/823543, 1399680/1399489}; it also tempers out 123201/123200. It factors as 2<sup>2</sup> × 11 × 61, with divisors 2, 4, 11, 22, 44, 61, 122, 244, 615, and 1230.
+{{Primes in edo|2684}}
+[[Category:Equal divisions of the octave]]
+[[Category:Zeta]]