2901533edo: Difference between revisions
- crazy stuff Tag: Reverted |
m why remove unbiased original research in favour of wrong information? the note at the top states it's "a topic of primarily mathematical interest", and its tuning properties w.r.t very large odd-limits are unparalleled afaik Tag: Undo |
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{{ED intro}} | {{ED intro}} | ||
Except for 8 barely in[[consistent]] interval pairs, 2901533edo is consistent in the 137-prime-limited no-247's 255-odd-limit (a total of 4067 interval pairs), with primes 151, 157, 163, 173, 181, 197 and 211 being includeable to that odd limit for a tiny penalty of only 3 more barely-inconsistent interval pairs (and for a total of 4830). Including odd 247 adds 8 more inconsistent interval pairs and 90 more consistent interval pairs for a total of 4928 interval pairs (of which 19 interval pairs are inconsistent). Because of its unusual [[consistency]] at its size range, it could be a candidate for "miracle edo" (not [[miracle]], the temperament) after [[311edo]], although this is not entirely certain or clear because a deep exhaustive search of comprehensive odd-limit performance has not been done up until this point, but it is at least significant that it holds a significant amount of records for [[odd limit]] [[consistency]] as detailed on the page for [[minimal consistent edos]]. Furthermore, it is consistent up to the [[odd prime sum limit|25-OPSL]], and is [[Consistency #Consistency to distance d|consistent to distance 4]] in the 16-OPSL. | |||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|2901533|columns= | {{Harmonics in equal|2901533|columns=12}} | ||
{{Harmonics in equal|2901533|columns= | {{Harmonics in equal|2901533|columns=12|start=13|collapsed=true|title=Approximation of prime harmonics in 2901533edo (continued)}} | ||
{{Harmonics in equal|2901533|columns= | {{Harmonics in equal|2901533|columns=12|start=25|collapsed=true|title=Approximation of prime harmonics in 2901533edo (continued)}} | ||
{{Harmonics in equal|2901533|columns= | {{Harmonics in equal|2901533|columns=12|start=37|collapsed=true|title=Approximation of prime harmonics in 2901533edo (continued)}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
{{Nowrap|2901533 {{=}} 433 × 6701}}, so 2901533edo contains [[433edo]] and [[6701edo]] as subsets. | |||