20567edo: Difference between revisions
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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]] | 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. | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|20567|columns=12}} | {{Harmonics in equal|20567|columns=12}} | ||
{{Harmonics in equal|20567|columns=12|start=13|collapsed=1|title=Approximation of prime harmonics in 20567edo (continued)}} | {{Harmonics in equal|20567|columns=12|start=13|collapsed=1|title=Approximation of prime harmonics in 20567edo (continued)}} | ||