Val: Difference between revisions
Cmloegcmluin (talk | contribs) |
Cmloegcmluin (talk | contribs) make the mathematical take on this information more prominently linked, since we have a pattern going of pages with general versions and mathematical versions |
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A '''val''' is a [[wikipedia: Linear map|linear map]] representing how to view the intervals in a [[equal-step tuning]], such as an edo, as approximate versions of intervals in [[just intonation]] (JI). They form the link between things like EDOs and JI, and by doing so form the basis for all of [[regular temperament theory]]. It's very common for vals to refer to EDOs specifically, although they also show us how to relate larger chains of [[generator]]s to JI as well (such as a stack of meantone fifths). | A '''val''' is a [[wikipedia: Linear map|linear map]] representing how to view the intervals in a [[equal-step tuning]], such as an edo, as approximate versions of intervals in [[just intonation]] (JI). They form the link between things like EDOs and JI, and by doing so form the basis for all of [[regular temperament theory]]. It's very common for vals to refer to EDOs specifically, although they also show us how to relate larger chains of [[generator]]s to JI as well (such as a stack of meantone fifths). | ||
For a more mathematical take on vals, see [[vals and tuning space]]. | |||
== Definition == | == Definition == | ||
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* [[Mapping]] | * [[Mapping]] | ||
* [[Monzo]] | * [[Monzo]] | ||
* [[Monzos and interval space]] | * [[Monzos and interval space]] | ||
* [[Patent val]] | * [[Patent val]] | ||