5941edo: Difference between revisions

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{{EDO intro|5941}}
{{EDO intro|5941}}


==Theory==
As the [[zeta|zeta valley]] edo after [[79edo]], it approximates [[prime harmonic]]s with very high errors. In particular, the 7th, 9th, 11th and 23rd harmonics are off by nearly half a step. In light of this, 5941edo can be seen as excelling in the 2.9<sup>2</sup>.7<sup>2</sup>.11<sup>2</sup>.23<sup>2</sup> subgroup. Otherwise, it is strong in the 2.45.35.49.19.(31.51) subgroup.
{{Harmonics in equal|5941|columns=30}}
As the [[zeta|zeta valley]] edo after [[79edo]], it approximates prime harmonics with very high errors. In particular, the 7th, 9th, 11th and 23rd harmonics are off by nearly half a step. In light of this, 5941edo can be seen as excelling in the 2.9<sup>2</sup>.7<sup>2</sup>.11<sup>2</sup>.23<sup>2</sup> subgroup. Otherwise, it is strong in the 2.45.35.49.19.(31.51) subgroup.


Rather fittingly, it has a [[consistency|consistency limit]] of 3.
Rather fittingly, it has a [[consistency|consistency limit]] of 3.
=== Odd harmonics ===
{{Harmonics in equal|5941|columns=12}}
{{Harmonics in equal|5941|start=13|columns=12|collapsed=1|title=Approximation of odd harmonics in 5941edo (continued)}}