The musical language of Bartók : historical backgrounds. Folk- and art-music sources ; Orientation toward French, Russian, and Folk-music sources : nonfunctional bases in pentatonic, modal, and whole-tone constructions ; Use of symmetrical pitch collections by Russian, French, and Hungarian composers ; Russian nationalists : symmetrical properties of the dominant-ninth chord ; Russian nationalists, Debussy, and Stravinsky : symmetrical properties of nontraditional as well as traditional (pentatonic and modal) pitch constructions ; Russian nationalists, Scriabin, and Kodaly : symmetrical partitions of the octatonic scale ; Late nineteenth- and early twentieth-century Germanic influences : symmetrical organization of chromatically related keys ; The Schoenberg school : symmetrical formations as the basis of progression in free-atonal compositions ; Berg and Webern : total systematization of the concepts of the interval cycle and inversional symmetry in dodecaphonic serial compositions -- Harmonization of authentic folk tunes -- Symmetrical transformation of the folk modes -- Basic principles of symmetrical pitch construction -- Construction, development, and interaction of intervallic cells -- Tonal centricity based on axes of symmetry -- Interaction of diatonic, octatonic, and whole-tone formations -- Generation of interval cycles.
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