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Combinatoriality

In music using the twelve tone technique, combinatoriality is a quality shared by twelve-tone tone rows whereby each section of a row and a proportionate number of its transformations combine to form aggregates (all twelve tones). Much as the pitches of an aggregate created by a tone row do not need to occur simultaneously, the pitches of a…

Hexachordal combinatoriality, Overview & Definition

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Hexachordal combinatoriality

ComplementInterval vectorAggregateSecond Viennese schoolSerial music
8 related topics

Overview

MusicTwelve tone techniqueAggregatesArnold SchoenbergHexachords
15 related topics

Definition

Milton BabbittRené Leibowitz
2 related topics

Trichordal combinatoriality

WebernConcerto for Nine Instruments Op. 24
2 related topics

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Definition

Hexachordal combinatoriality

Trichordal combinatoriality

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Combinatoriality

Nodes32
Edges31
Triples11
Avg. degree1.94
Density0.0625
Components1

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Combinatoriality

Top relations

is a · 7
Combinatoriality → concept in post-tonal theory that describes the combination of hexachords, lack of shared pitch classes between a hexachord and one or more of its transpositions, lack of shared pitches between the hexachords of a row and its retrograde-inversion.Babbitt also described the semi-combinatorial row and the all-combinatorial row, quality shared by twelve-tone tone rows whereby each section of a row and a proportionate number of its transformations combine to form aggregates, relationship between two rows, row's ability to form aggregates through the combination of trichords, side effect of derived rows
related to Trichordal combinatoriality · 3
Combinatoriality → All, The, Trichordal
related to Hexachordal combinatoriality · 1
Combinatoriality → There

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Important terminology

row hexachords aggregate rows may combinatorial sets set first hexachord pitches two twelve-tone notes inversion music one trichordal hexachordal aggregates

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Combinatorialityis aquality shared by twelve-tone tone rows whereby each section of a row and a proportionate number of its transformations combine to form aggregates0.90text
Combinatorialityis aside effect of derived rows0.90text
Combinatorialityis alack of shared pitch classes between a hexachord and one or more of its transpositions0.90text
Combinatorialityis arelationship between two rows0.90text
Combinatorialityis alack of shared pitches between the hexachords of a row and its retrograde-inversion.Babbitt also described the semi-combinatorial row and the all-combinatorial row0.90text
Combinatorialityis aconcept in post-tonal theory that describes the combination of hexachords0.90text
Combinatorialityis arow's ability to form aggregates through the combination of trichords0.90text
Combinatorialityrelated to Hexachordal combinatorialityThere0.60section
Combinatorialityrelated to Trichordal combinatorialityTrichordal0.60section
Combinatorialityrelated to Trichordal combinatorialityThe0.60section
Combinatorialityrelated to Trichordal combinatorialityAll0.60section

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