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| In the language of mathematics, a '''transversal''' is a selection of one representative element from each set of a collection of sets. Transversals may be used to define scales tempered by a [[regular temperament]] in a way which is precise, useful for several purposes, and independent of the exact tuning used by the temperament. For each note of a scale which is defined in ''p''-limit temperament, there is a set of ''p''-limit rational intervals which is tempered by the temperament to that note. This gives us a collection of sets, and selecting a representative element from each set gives us a transversal. Transversals may also be used to denote all of the intervals of a regular temperament, usually by confining the intervals of the transversal to a subgroup of the group tempered by the temperament. For instance, Pythagorean tuning provides a transversal for meantone.
| | #REDIRECT [[Detempering]] |
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| == See also ==
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| * [[Wikipedia: Transversal (combinatorics)]]
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| [[Category:Math]]
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| [[Category:Theory]]
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| [[Category:Transversal scales| ]] <!-- sort order in category: this page shows above A -->
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| {{Todo| review | add examples }}
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