2547047edo: Difference between revisions

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{{Mathematical interest}}
{{Infobox ET}}
{{Infobox ET}}
{{ED intro}}


{{EDO intro}}
Despite being less practical than many smaller [[edo]]s, it is a strong higher-limit system, especially in the [[35-odd-limit]] and [[odd prime sum limit|36-OPSL]]. An interesting quirk, though, is that all prime harmonics up to 41 are tuned sharp except for 19 which is only slightly flat. Also, the only two prime factors of the number of notes per octave appear to be unusually close together.


Despite being less practical than many smaller [[EDO|EDOs]], it is a strong higher-limit system, especially in the 35-[[Odd limit|odd-limit]] and 36-[[Odd prime sum limit|OPSL]]. An interesting quirk, though, is that all prime harmonics up to 41 are tuned sharp except for 19 which is only slightly flat. Also, the only two prime factors of the number of notes per octave appear to be unusually close together.
{{Harmonics in equal|steps=2547047|columns=9}}
 
{{Harmonics in equal|steps=2547047|columns=9|start=10|collapsed=true|title=Approximation of prime harmonics in 2547047edo (continued)}}
{{Harmonics in equal|steps=2547047|columns=11}}{{Harmonics in equal|title=Approximation of prime harmonics in 2547047edo (continued)|steps=2547047|start=12}}