Val: Difference between revisions

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(Note this description will omit certain details to make the basic idea easier to understand for beginners, then explain them later for correctness and completeness; the details are mainly footnotes to and applications of these core ideas.)

A [[val]] — short for ''valuation'' — is like an algorithm/procedure for finding out how to approximate frequency ratios ([[interval]]s of [[just intonation]]) with the ~~intervals/intervals~~ of an [[edo]]. Note that this therefore assumes either that you want to use an edo to approximate specific harmonies or that you have some other more indirect use in mind.

A [[val]] — short for ''valuation'' — is like an algorithm/procedure for finding out how to approximate frequency ratios ([[interval]]s of [[just intonation]]) with the pitches of an [[edo]]. Note that this therefore assumes either that you want to use an edo to approximate specific harmonies or that you have some other more indirect use in mind.

''The immediate question is:'' why would you need an algorithm instead of just looking at the nearest approximation possible in the edo? The answer is ''to avoid contradictions''.

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 (Note this description will omit certain details to make the basic idea easier to understand for beginners, then explain them later for correctness and completeness; the details are mainly footnotes to and applications of these core ideas.)
-A [[val]] — short for ''valuation'' — is like an algorithm/procedure for finding out how to approximate frequency ratios ([[interval]]s of [[just intonation]]) with the intervals/intervals of an [[edo]]. Note that this therefore assumes either that you want to use an edo to approximate specific harmonies or that you have some other more indirect use in mind.
+A [[val]] — short for ''valuation'' — is like an algorithm/procedure for finding out how to approximate frequency ratios ([[interval]]s of [[just intonation]]) with the pitches of an [[edo]]. Note that this therefore assumes either that you want to use an edo to approximate specific harmonies or that you have some other more indirect use in mind.
 ''The immediate question is:'' why would you need an algorithm instead of just looking at the nearest approximation possible in the edo? The answer is ''to avoid contradictions''.