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- Combinatoriality abstract "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 combinatorially created aggregate need not occur simultaneously. Arnold Schoenberg, creator of the twelve-tone technique, often combined P-0/I-5 to create, "two aggregates, between the first hexachords of each, and the second hexachords of each, respectively." Combinatoriality is a side effect of derived rows, where the initial segment or set may be combined with it's transformations (T,R,I,RI) to create an entire row. "Derivation refers to a process whereby, for instance, the initial trichord of a row can be used to arrive at a new, 'derived' row by employing the standard twelve-tone operations of transposition, inversion, retrograde, and retrograde-inversion." Combinatorial properties are not dependent on the order of the notes within a set, but only on the content of the set, and combinatoriality may exist between three tetrachordal and between four trichordal sets, as well as between pairs of hexachords, and six dyads. A complement in this context is half of a combinatorial pitch class set and most generally it is the "other half" of any pair including pitch class sets, textures, or pitch range.".
- Combinatoriality thumbnail Elliott_Carter_-_Piano_Concerto_-_Hexachordal_combinatoriality_chords.png?width=300.
- Combinatoriality wikiPageID "461451".
- Combinatoriality wikiPageLength "15634".
- Combinatoriality wikiPageOutDegree "34".
- Combinatoriality wikiPageRevisionID "679138310".
- Combinatoriality wikiPageWikiLink Arnold_Schoenberg.
- Combinatoriality wikiPageWikiLink Category:Hexachords.
- Combinatoriality wikiPageWikiLink Category:Twelve-tone_technique.
- Combinatoriality wikiPageWikiLink Chromatic_scale.
- Combinatoriality wikiPageWikiLink Complement_(music).
- Combinatoriality wikiPageWikiLink Complement_(set_theory).
- Combinatoriality wikiPageWikiLink Derived_row.
- Combinatoriality wikiPageWikiLink Dyad_(music).
- Combinatoriality wikiPageWikiLink Hexachord.
- Combinatoriality wikiPageWikiLink Interval_vector.
- Combinatoriality wikiPageWikiLink Inversion_(music).
- Combinatoriality wikiPageWikiLink Josef_Matthias_Hauer.
- Combinatoriality wikiPageWikiLink Milton_Babbitt.
- Combinatoriality wikiPageWikiLink Music.
- Combinatoriality wikiPageWikiLink René_Leibowitz.
- Combinatoriality wikiPageWikiLink Retrograde_(music).
- Combinatoriality wikiPageWikiLink Retrograde_inversion.
- Combinatoriality wikiPageWikiLink Second_Viennese_School.
- Combinatoriality wikiPageWikiLink Second_Viennese_school.
- Combinatoriality wikiPageWikiLink Serial_music.
- Combinatoriality wikiPageWikiLink Serialism.
- Combinatoriality wikiPageWikiLink Set_(music).
- Combinatoriality wikiPageWikiLink Tetrachord.
- Combinatoriality wikiPageWikiLink Tone_row.
- Combinatoriality wikiPageWikiLink Transposition_(music).
- Combinatoriality wikiPageWikiLink Trichord.
- Combinatoriality wikiPageWikiLink Trope_(music).
- Combinatoriality wikiPageWikiLink Twelve-tone_technique.
- Combinatoriality wikiPageWikiLink Twelve_tone_technique.
- Combinatoriality wikiPageWikiLink File:Elliott_Carter_-_Piano_Concerto_-_Hexachordal_combinatoriality_chords.png.
- Combinatoriality wikiPageWikiLink File:Ode-to-Napoleon_hexachord.png.
- Combinatoriality wikiPageWikiLink File:Schoenberg_-_Moses_und_Aron_combinatorial_tone_rows.png.
- Combinatoriality wikiPageWikiLink File:Schoenberg_-_Piano_Piece_op.33a_tone_row.png.
- Combinatoriality wikiPageWikiLink File:Schoenberg_-_Variations_for_Orchestra_op._31_tone_row.png.
- Combinatoriality wikiPageWikiLink File:Stockhausen_-_Gruppen_tone_row.png.
- Combinatoriality wikiPageWikiLink File:Webern_-_Concerto_Op._24_tone_row.png.
- Combinatoriality wikiPageWikiLinkText "Combinatoriality".
- Combinatoriality wikiPageWikiLinkText "Combinatoriality#All-combinatorial".
- Combinatoriality wikiPageWikiLinkText "Combinatoriality#Hexachordal combinatoriality".
- Combinatoriality wikiPageWikiLinkText "Combinatoriality#Semi-combinatorial".
- Combinatoriality wikiPageWikiLinkText "all-combinatorial".
- Combinatoriality wikiPageWikiLinkText "combinatorial pitch array".
- Combinatoriality wikiPageWikiLinkText "combinatorial".
- Combinatoriality wikiPageWikiLinkText "combinatoriality".
- Combinatoriality wikiPageWikiLinkText "complementary".
- Combinatoriality hasPhotoCollection Combinatoriality.
- Combinatoriality wikiPageUsesTemplate Template:Anchor.
- Combinatoriality wikiPageUsesTemplate Template:Audio.
- Combinatoriality wikiPageUsesTemplate Template:Distinguish.
- Combinatoriality wikiPageUsesTemplate Template:Efn.
- Combinatoriality wikiPageUsesTemplate Template:Music.
- Combinatoriality wikiPageUsesTemplate Template:Notelist.
- Combinatoriality wikiPageUsesTemplate Template:Twelve-tone_technique.
- Combinatoriality subject Category:Hexachords.
- Combinatoriality subject Category:Twelve-tone_technique.
- Combinatoriality hypernym Quality.
- Combinatoriality type Organisation.
- Combinatoriality type Scale.
- Combinatoriality type Thing.
- Combinatoriality comment "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 combinatorially created aggregate need not occur simultaneously.".
- Combinatoriality label "Combinatoriality".
- Combinatoriality differentFrom Combinatorics.
- Combinatoriality sameAs m.02cbt5.
- Combinatoriality sameAs Q5150831.
- Combinatoriality sameAs Q5150831.
- Combinatoriality wasDerivedFrom Combinatoriality?oldid=679138310.
- Combinatoriality depiction Elliott_Carter_-_Piano_Concerto_-_Hexachordal_combinatoriality_chords.png.
- Combinatoriality isPrimaryTopicOf Combinatoriality.