1506edo: Difference between revisions
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1506edo is a very strong 13- and 17-limit system, since it is the first past [[494edo|494]] with a lower 13-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]], and likewise the first with a lower 17-limit relative error. Like 494 it is [[consistency|distinctly consistent]] through the [[17-odd-limit]]. It tends sharp, all of the odd primes to 17 being tuned sharply. A basis for the 13-limit [[comma]]s is {[[4096/4095]], [[6656/6655]], [[9801/9800]], 105644/105625, 371293/371250}, and for the 17-limit commas, {4096/4095, [[4914/4913]], [[5832/5831]], 6656/6655, 9801/9800, [[28561/28560]], 105644/105625}. | 1506edo is a very strong 13- and 17-limit system, since it is the first past [[494edo|494]] with a lower 13-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]], and likewise the first with a lower 17-limit relative error. Like 494 it is [[consistency|distinctly consistent]] through the [[17-odd-limit]]. It tends sharp, all of the odd primes to 17 being tuned sharply. A basis for the 13-limit [[comma]]s is {[[4096/4095]], [[6656/6655]], [[9801/9800]], 105644/105625, 371293/371250}, and for the 17-limit commas, {4096/4095, [[4914/4913]], [[5832/5831]], 6656/6655, 9801/9800, [[28561/28560]], 105644/105625}. | ||