Odd prime sum limit: Difference between revisions
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Tristanbay (talk | contribs) Added a table of minimal OPSL-consistent EDOs |
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This concept was noted by [[User:Tristanbay|Tristan Bay]] as a way to measure how accurately an [[EDO]] approximates just intonation with lower primes weighted more heavily. Specifically, the idea is to use OPSLs as an alternative metric for [[Consistency|consistency limit]] either instead of or alongside [[Odd limit|odd limits]]. | This concept was noted by [[User:Tristanbay|Tristan Bay]] as a way to measure how accurately an [[EDO]] approximates just intonation with lower primes weighted more heavily. Specifically, the idea is to use OPSLs as an alternative metric for [[Consistency|consistency limit]] either instead of or alongside [[Odd limit|odd limits]]. | ||
==Minimal OPSL-consistent EDOs== | |||
{| class="wikitable" | |||
|+ | |||
!OPSL | |||
!Smallest Consistent EDO* | |||
|- | |||
|1 | |||
|1 | |||
|- | |||
|2 | |||
|1 | |||
|- | |||
|3 | |||
|1 | |||
|- | |||
|4 | |||
|1 | |||
|- | |||
|5 | |||
|3 | |||
|- | |||
|6 | |||
|3 | |||
|- | |||
|7 | |||
|5 | |||
|- | |||
|8 | |||
|12 | |||
|- | |||
|9 | |||
|12 | |||
|- | |||
|10 | |||
|12 | |||
|- | |||
|11 | |||
|31 | |||
|- | |||
|12 | |||
|72 | |||
|- | |||
|13 | |||
|72 | |||
|- | |||
|14 | |||
|130 | |||
|- | |||
|15 | |||
|270 | |||
|- | |||
|16 | |||
|270 | |||
|- | |||
|17 | |||
|954 | |||
|- | |||
|18 | |||
|1236 | |||
|- | |||
|19 | |||
|1578 | |||
|- | |||
|20 | |||
|1578 | |||
|- | |||
|21 | |||
|3395 | |||
|- | |||
|22 | |||
|3395 | |||
|- | |||
|23 | |||
|6079 | |||
|- | |||
|24 | |||
|8539 | |||
|- | |||
|25 | |||
|8539 | |||
|- | |||
|26 | |||
|8539 | |||
|- | |||
|27 | |||
|8539 | |||
|- | |||
|28 | |||
|102557 | |||
|- | |||
|29 | |||
|102557 | |||
|- | |||
|30 | |||
|102557 | |||
|- | |||
|31 | |||
|102557 | |||
|- | |||
|32 | |||
|102557 | |||
|- | |||
|33 | |||
|258008 | |||
|- | |||
|34 | |||
|258008 | |||
|- | |||
|35 | |||
|258008 | |||
|- | |||
|36 | |||
|258008 | |||
|} | |||
<nowiki>*</nowiki>apart from 0edo | |||