Wilde, Doug Gordon
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The equal tempered scale may be divided equally into twelve, six, four, three and two equal parts. From each division, symmetrical harmonic environments may be created that sound and function in different ways than diatonic systems. Some composers use these systems exclusively, and some combine them with more traditional harmonic systems. This thesis presents ten original compositions. Each division of the octave is represented by a jazz and a chamber piece. A brief history of equal temperament is included, followed by a chronology of the introduction of symmetrical scales and harmonic material in Western art music and jazz. The methods of several composers, all proponents of symmetry in different ways, are also examined.