4096edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
4096edo is consistent in the 15-odd-limit, although with a large error on the 5th harmonic. It has the highest consistency limit than any power of two edo before it. In higher limits, the best subgroup for 4096edo is 2.3.7.11.13.37.43. | |||
In the 11-limit, it is a tuning for the [[Van Gogh]] temperament. In the 13-limit, it tempers out [[6656/6655]], [[9801/9800]], 67392/67375, 105644/105625. In the higher 2.3.7.11.13.37.43 subgroup it tempers out the [[superparticular]] comma [[15093/15092]]. | |||
=== Prime harmonics === | |||
{{Harmonics in equal|4096}} | {{Harmonics in equal|4096}} | ||
=== Subsets and supersets === | |||
4096edo is the 12th power of two edo, and has subset edos {{EDOs|1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048}}. | |||
[[Category:Jacobin]] | |||