Val: Difference between revisions

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Shorthand notation: temperament finder, for subgroup
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| ja = ヴァルと音程空間
| ja = ヴァルと音程空間
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{{Beginner|Vals and tuning space}}
A '''val''' is a [[wikipedia: Linear map|linear map]] representing how to view the intervals on a generator chain, i.e. 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 on a generator chain, i.e. 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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