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identifying pitch arrays retracing some of the steps of my own analytical process
A Brief Overview
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aggregate sum Arnold Schoenberg Array analysis axis dyad axis-dyad bass beat Boulez Cage California Press Chapter composers Composition and Atonality compositional choice Copyright corresponding cyclic chord cyclic intervals cyclic set defined described dissonance emplotment example formal outline George Perle Gigue harmonic hexachord Ibid interval cycle interval system interval-5 cycles introduction by pivot inventory and formal inversional Jean-Jacques Nattiez Keys e,e Lyotard McClary Messiaen motion musical language musical surface narrative Nattiez neighbor-note dyads notation notes octachord octave Olivier Messiaen Papillons partitioning passage perfect fourths Perle's Perle's array Perle's compositional Perle's music Perle's theory Perpetuum mobile phrase A phrase Phrase inventory piano pitch pitch-class pivot chord possible post-tonal Praeludium relationships rhetoric rhythm Schoenberg score segment semitones Serial Composition Six New Etudes strategy Stravinsky Strophe Style and Idea sum pairings sums retained symmetry Table tetrachordal sums tetrachords texture total chromatic traditional tonality transposition twelve-tone tonality Twentieth-Century Music Variations William Bolcom