4096edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|4096}}
{{ED intro}}


== Theory ==
== Theory ==
4096edo is consistent in the 15-odd-limit, although with a large error on the 7th 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.
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]].
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 ===
=== Prime harmonics ===
{{Harmonics in equal|4096}}
{{Harmonics in equal|4096}}