Direct approximation: Difference between revisions

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A '''patent interval''' of a (usually but not necessarily just) interval is the number of EDO steps of the best approximation of an interval in a respective EDO. It's calculated by [[rounding]] the product of [[Wikipedia: binary logarithm| binary logarithm]] (''log2'') of the interval ratio (''r'') and the EDO number (''nEdo'').  
A '''patent interval''' of a (usually but not necessarily just) interval in a given [[edo]] is the number of edo steps of the best approximation of an interval in that edo. It's calculated by [[rounding]] the product of [[Wikipedia: binary logarithm| binary logarithm]] (''log2'') of the interval ratio (''r'') and the edo number (''nEdo'').  


  round(log2(r)*nEdo)
  round(log2(r)*nEdo)
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A [[patent val]] is the best mapping of a representative set of intervals in a given EDO; for the ''p''-[[prime limit]] this set consists of [[prime interval]]s.
A [[patent val]] is the best mapping of a representative set of intervals in a given edo; for the ''p''-[[prime limit]] this set consists of [[prime interval]]s.


[[Category:Terms]]
[[Category:Terms]]
[[Category:Method]]
[[Category:Method]]
[[Category:Val]]
[[Category:Val]]