Some Implications of the Pitch Class/Order Number Isomorphism Inherent in the Twelve-Tone System: Part One

Abstract

TN TWELVE-TONE INVARIANTS as Compositional Determinants Milton Babbitt described the twelve-tone system in terms of operations upon pairings of the twelve pitch classes with twelve order numbers.1 In doing so he provided a basis for studying the twelve-tone system that has far-reaching implications.2 Viewing the twelve-tone system from the basis of operations on pitch classes and order numbers provides insights into a