88edt: Difference between revisions
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'''88EDT''' is the [[Edt|equal division of the third harmonic]] into 88 parts of 21.6131 [[cent|cents]] each, corresponding to 55.5218 [[edo]] (similar to every second step of [[111edo]]). It is consistent to the no-twos 11-limit, tempering out 1331/1323, 16875/16807, and 216513/214375. In the 3.4.5.7.11 subgroup, it tempers out 176/175, 540/539, 1331/1323, and 5120/5103. | '''88EDT''' is the [[Edt|equal division of the third harmonic]] into 88 parts of 21.6131 [[cent|cents]] each, corresponding to 55.5218 [[edo]] (similar to every second step of [[111edo]]). It is consistent to the no-twos 11-limit, tempering out 1331/1323, 16875/16807, and 216513/214375. In the 3.4.5.7.11 subgroup, it tempers out 176/175, 540/539, 1331/1323, and 5120/5103. | ||
88EDT is the largest EDT to not correspond to a [[val]] of some [[EDO]] that has a [[5L 2s|diatonic]] fifth, instead corresponding to both the 55b val, with [[5edo]]'s fifth, and the 56b val, with [[7edo]]'s fifth. It is also a [[the Riemann zeta function and tuning#Removing primes|no-twos zeta peak EDT]]. | 88EDT is the largest EDT to not correspond to a [[val]] of some [[EDO]] that has a [[5L 2s|diatonic]] fifth, instead corresponding to both the [[55edo|55b]] val, with [[5edo]]'s fifth, and the [[56edo|56b]] val, with [[7edo]]'s fifth. It is also a [[the Riemann zeta function and tuning#Removing primes|no-twos zeta peak EDT]]. | ||
== Harmonics == | == Harmonics == | ||