Music Theory and Mathematics – Chords, Collections, and Transformations: Eastman Studies in Music

Introduction by Normal Carey, Jack Douthett, and Martha M. Hyde Preface by Charles J. Smith "Cardinality Equals Variety for Chords" in Well-Formed Scales, with a Note on the Twin Primes Conjecture - David Clampitt Flip-Flop Circles and Their Groups - John Clough Pitch-Time Analogies and Transformations in Bartók's Sonata for Two Pianos and Percussion - Richard Cohn Filtered Point-Symmetry and Dynamical Voice-Leading - Jack Douthett The "Over-Determined" Triad as a Source of Discord: Nascent Groups and the Emergent Chromatic Tonality in Nineteenth-Century German Harmonic Theory Nineteenth-Century German Harmonic Theory - Nora Engebretsen Signature Transformations - Julian Hook Some Pedagogical Implications of Diatonic and Neo-Riemannian Theory - Timothy Johnson A Parsimony Metric for Diatonic Sequences - Jonathan Kochavi Transformational Considerations in Schoenberg's Opus 23, Number 3 - David Lewin Transformational Etudes: Basic Principles and Applications of Interval String Theory - Stephen Soderberg