49ed6: Difference between revisions
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== Theory == | == Theory == | ||
49ed6 is very | 49ed6 is very similar to [[19edo]], but with the [[6/1]] rather than the 2/1 being just. It is extremely close to the [[The Riemann zeta function and tuning|zeta peak]] near 19, thus minimizing relative error as much as possible. Because 19edo itself is a flat-tending system, stretching the octave improves the overall tuning accuracy. | ||
The fifth is ~696.36 cents; about 1/4 of a cent flatter than the fifth of quarter-comma meantone, or half a cent flatter than the fifth of [[31edo]]. The fourth is less accurate than in 19edo, and is close in size to a [[flattone]] fourth. Minor thirds are still excellent, only slightly less accurate than they are in standard 19edo. | The fifth is ~696.36 cents; about 1/4 of a cent flatter than the fifth of quarter-comma meantone, or half a cent flatter than the fifth of [[31edo]]. The fourth is less accurate than in 19edo, and is close in size to a [[flattone]] fourth. Minor thirds are still excellent, only slightly less accurate than they are in standard 19edo. | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 49 factors into primes as 7<sup>2</sup>, 49ed6 contains [[7ed6]] as its only nontrivial subset ed6. | Since 49 factors into primes as 7<sup>2</sup>, 49ed6 contains [[7ed6]] as its only nontrivial subset ed6. | ||
== Intervals == | == Intervals == | ||