494edo: Difference between revisions
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m in my opinion it's better to let the reader see the limit |
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== Intervals == | == Intervals == | ||
{{Primes in edo|494|prec=3 | {{Primes in edo|494|prec=3}} | ||
{{main| Table of 494edo intervals }} | {{main| Table of 494edo intervals }} | ||
Revision as of 12:16, 11 July 2021
The 494 equal temperament is a very strong 13- and 17-limit equal temperament. It is a zeta peak and zeta peak integer edo and uniquely consistent through the 17-limit. It tempers out the enneadeca, [-14 -19 19⟩, the tricot comma, [39 -29 3⟩, and the kwazy comma, [-53 10 16⟩ in the 5-limit. In the 7-limit, it tempers out 4375/4374 and 703125/702464; in the 11-limit 3025/3024 and 9801/9800; in the 13-limit 1716/1715, 2080/2079, 4096/4095, 4225/4224 and 6656/6655; and in the 17-limit, 1156/1155, 1275/1274, 2431/2430, and 2500/2499. Not until 1506 do we reach a division with a lower 13- or 17-limit relative error, and it is the first past 72 with a lower 17-limit relative error. 494 is divisible by 2, 13, 19, 26, 38 and 247.
Intervals
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