Odd prime sum limit: Difference between revisions
Comparison |
Tristanbay (talk | contribs) Corrected the definition of OPSL |
||
| Line 1: | Line 1: | ||
The '''''n''-odd-prime-sum-limit''' (abbreviated '''''n''-OPSL''') is the collection of all just ratios | The '''''n''-odd-prime-sum-limit''' (abbreviated '''''n''-OPSL''') is the collection of all just ratios where the no-twos [https://mathworld.wolfram.com/SumofPrimeFactors.html sum of prime factors with repetition] of both the numerator and the denominator does not exceed the integer ''n''. | ||
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]]s. | 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]]s. | ||