
Organized Time is the first attempt to unite theories of harmony, rhythm and meter, and form under a common idea of structured time. Building off of recent advances in music theory in essential subfields-rhythmic theory, tonal structure, and the theory of musical form--author Jason Yust demonstrates that tonal music exhibits similar hierarchical organization in each of these dimensions. Yust develops a network model for temporal structure with an application of mathematical graph theory, which leads ultimately to musical applications of a multi-dimensional polytope called the associahedron. A wealth of analytical examples includes not only the familiar tonal canon-J.S. Bach, Mozart, Schumann--but also lesser known masters of the musical Enlightenment such as C.P.E. and J.C. Bach, Boccherini, and Johann Gottlieb Graun. Yust's approach has wide-ranging ramifications across music theory, enabling new approaches to musical closure, hypermeter, formal function, syncopation, and rhythmic dissonance, as well as historical observations about the development of sonata form and the innovations of Haydn and Beethoven. Making a forceful argument for the independence of musical modalities and for a multivalent approach to music analysis, Organized Time establishes the aesthetic importance of structural disjunction, the conflict of structure in different modalities, in numerous analytical contexts.
This book investigates whether theories of harmony, rhythm, meter, and form can be unified under a single, cohesive framework of structured time. Author Jason Yust, a scholar in music theory, utilizes mathematical graph theory and the geometry of polytopes to argue that tonal music displays a consistent hierarchical organization across these distinct dimensions. By applying the concept of the associahedron to musical structure, Yust provides a rigorous model for understanding how temporal and tonal elements interact within a composition.
What You Will Find
Scope Limits
Experts in the field recognize this work as a significant contribution to the formalization of music theory through mathematical modeling. Readers frequently note the high level of technical density in the prose, which is intended for advanced students and professional music theorists.
Page Count:
435
Publication Date:
2018-01-01
Publisher:
Oxford University Press
ISBN-10:
0190696508
ISBN-13:
9780190696504
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