3159811edo: Difference between revisions

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Tables of primes would suffice
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{{ED intro}}
{{ED intro}}


3159811edo is [[consistent]] in the 65-odd-limit with a lower [[relative error]] than any previous equal temperaments in the 61-limit. It is the smallest EDO which is purely consistent{{idio}} in the 63-odd-limit (i.e. does not exceed 25% relative error on the first 63 harmonics of the [[harmonic series]]).
== Theory ==
3159811edo is [[consistent]] in the 65-odd-limit with a lower [[relative error]] than any previous equal temperaments in the 61-limit. It is the smallest edo which is purely consistent{{idio}} in the 63-odd-limit (i.e. does not exceed 25% relative error on the first 63 harmonics of the [[harmonic series]]).


== Theory ==
=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|3159811|intervals=odd|prec=8|columns=7|title=Approximation of odd harmonics in 3159811edo (3–15)}}
{{Harmonics in equal|3159811|columns=9}}
{{Harmonics in equal|3159811|intervals=odd|prec=8|columns=8|start=8|collapsed=true|title=Approximation of odd harmonics in 3159811edo (17–31)}}
{{Harmonics in equal|3159811|columns=9|start=10|collapsed=true|title=Approximation of prime harmonics in 3159811edo (continued)}}
{{Harmonics in equal|3159811|intervals=odd|prec=8|columns=8|start=16|collapsed=true|title=Approximation of odd harmonics in 3159811edo (33–47)}}
{{Harmonics in equal|3159811|intervals=odd|prec=8|columns=8|start=24|collapsed=true|title=Approximation of odd harmonics in 3159811edo (49–63)}}


== Scales ==
== Scales ==