2901533edo: Difference between revisions

+subsets and supersets
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m changed EDO intro to ED intro
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{{Infobox ET|Consistency=131|Distinct consistency=131}}
{{Infobox ET|Consistency=131|Distinct consistency=131}}
{{EDO intro|2901533}}
{{ED intro}}


Except for 8 barely-inconsistent interval pairs, it 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 25-[[Odd prime sum limit|OPSL]], and is [[Consistency#Consistency to distance d|consistent to distance 4]] in the 16-OPSL.
Except for 8 barely-inconsistent interval pairs, it 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 25-[[Odd prime sum limit|OPSL]], and is [[Consistency#Consistency to distance d|consistent to distance 4]] in the 16-OPSL.