CONSTELLATIONS: Pitch Space, Arrays, Tonality

Introduction

Galileo revolutionized astronomy, in part by using a new tool: the telescope. Schoenberg revolutionized harmony by evolving an existing concept, the chromatic scale, into a new tool: the 12-tone scale. (He also devised the compositional tool of the 12-tone row — but that’s another story.) Allen Forte took Schoenberg’s ideas to another level of abstraction: defining Pitch Class and applying basic math to the 12-tone universe. Christman focused on intervallic essence of pitch patterns: defining the “successive interval array.” I am merely another explorer using their maps but choosing my own creative path. In doing so, I will define some of my own terms, while adapting and clarifying some established terms that fit what I’m thinking and expressing.

Topics

  • Tuning
  • Constellations
  • Interval Arrays
  • Scales
  • Scale prototypes
  • Scale patterns and set classes
  • Harmonic complexity
  • Constellation streams
  • Constreams and 12-tone sets
  • Progressive alterations of arrays
  • Clusters
  • Cells – melodic molecules
  • Cell class

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Mapping the Music Universe by Thomas S. Clark . . . CONTENTS

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