20567edo: Difference between revisions

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~~== Theory ==~~

20567edo is a remarkable very high-limit system, distinctly (and almost purely, as all odd harmonics 57 and below, except 49, are within 25% relative error) [[consistent]] through the [[57-odd-limit]], with a lower [[relative error]] than any previous equal temperaments in the 43-limit. It tempers out 33814/33813, 35344/35343, 37180/37179, 42484/42483, 42688/42687, 47125/47124, 48504/48503, 67915/67914, 70500/70499, 91885/91884, 126225/126224, 156520/156519, 194580/194579, 206800/206793, and 561925/561924 in the 53-limit.

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{{Harmonics in equal|20567|start=12|collapsed=1|title=Approximation of prime harmonics in 20567edo (continued)}}

~~== Approximation to JI ==~~

~~{{Q-odd-limit intervals|20567|57}}~~

~~{{todo|fix template|inline=1|text=The error seems to be due to the consistency only calculating to 43, while 20567edo has a higher consistency limit, causing an error.}}~~

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 {{Infobox ET|Consistency=57|Distinct consistency=57}}
 {{ED intro}}
-== Theory ==
 edo is a remarkable very high-limit system, distinctly (and almost purely, as all odd harmonics 57 and below, except 49, are within 25% relative error) [[consistent]] through the [[57-odd-limit]], with a lower [[relative error]] than any previous equal temperaments in the 43-limit. It tempers out 33814/33813, 35344/35343, 37180/37179, 42484/42483, 42688/42687, 47125/47124, 48504/48503, 67915/67914, 70500/70499, 91885/91884, 126225/126224, 156520/156519, 194580/194579, 206800/206793, and 561925/561924 in the 53-limit.
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 {{Harmonics in equal|20567}}
 {{Harmonics in equal|20567|start=12|collapsed=1|title=Approximation of prime harmonics in 20567edo (continued)}}
-== Approximation to JI ==
-{{Q-odd-limit intervals|20567|57}}
-{{todo|fix template|inline=1|text=The error seems to be due to the consistency only calculating to 43, while 20567edo has a higher consistency limit, causing an error.}}