Val: Difference between revisions

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{{Beginner|Vals and tuning space}}
{{Beginner|Vals and tuning space}}


A [[val]] — short for ''valuation'' — is like an algorithm or procedure for finding out how to approximate [[frequency ratio]]s ([[interval]]s of [[just intonation|just intonation (JI)]]) with the pitches of an [[equal tuning]] such as an [[edo]]. This therefore assumes either that you want to use an equal tuning to approximate specific harmonies or that you have some other more indirect use in mind.
A [[val]] — short for ''valuation'' — is like an algorithm or procedure for finding out how to approximate [[frequency ratio]]s ([[interval]]s of [[just intonation|just intonation (JI)]]) with the pitches of an [[equal tuning]] such as an [[edo]]. The basic principle of using a ''patent'' val (the most common usecase) is that you round prime harmonics to edosteps, and then deduce the "mapping" of an arbitrary interval based on its prime factorization. (The "patent" refers to the method of choosing the approximations to the prime harmonics.)
 
This therefore assumes either that you want to use an equal tuning to approximate specific harmonies or that you have some other more indirect use in mind.


== Motivation ==
== Motivation ==
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