38ed7/3: Difference between revisions
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{{ED intro}} | |||
While 38ed7/3 fails to accurately represent low primes, it provides great approximations of the 13th, 17th, 19th, and a multitude of higher prime harmonics, and also handles the interval of [[5/3]] well. But 38ed7/3 should, most of all, be noted for the exceptional quality of its approximation to [[11/9]], which is a mere 0.0088 cents off from just. Its natural subgroup in the [[19-limit]] is 7/3.5/3.11/9.13.17.19, but this can extend to include higher primes, especially 29, 31, and 37. | |||
38ed7/3 possesses a shimmering octave at 31 steps in, therefore making this a potential octave stretch of [[31edo]], one that sacrifices its notable accuracy in the [[7-limit]] (though a number of 7-limit intervals are still portrayed passably due to the common flat tendency of harmonics 2, 3, 5, and 7) in favor of a huge number of high primes. | |||
== Intervals == | == Intervals == | ||
{| class="wikitable" | {| class="wikitable" | ||
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|1466.8709 | |1466.8709 | ||
|} | |} | ||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 38 | |||
| num = 7 | |||
| denom = 3 | |||
| intervals = prime | |||
}} | |||
{{Harmonics in equal | |||
| steps = 38 | |||
| num = 7 | |||
| denom = 3 | |||
| start = 12 | |||
| collapsed = 1 | |||
| intervals = prime | |||
}} | |||