All-interval tetrachord

id: all-interval-tetrachord-190-10953752
title: All-interval tetrachord
text: An all-interval tetrachord is a tetrachord, a collection of four pitch classes, containing all six interval classes. There are only two possible all-interval tetrachords, when expressed in prime form. In set theory notation, these are [0,1,4,6] (4-Z15) and [0,1,3,7] (4-Z29). Their inversions are [0,2,5,6] (4-Z15b) and [0,4,6,7] (4-Z29b). The interval vector for all all-interval tetrachords is [1,1,1,1,1,1].
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/All-interval_tetrachord
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date modified: 2023-12-20T01:14:56Z
main entity: {"identifier":"Q4728363","url":"https://www.wikidata.org/entity/Q4728363"}
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integrity: 13

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