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Books > Arts & Architecture > Music > Theory of music & musicology
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Mathematical Music Theory: Algebraic, Geometric, Combinatorial, Topological And Applied Approaches To Understanding Musical Phenomena (Paperback)
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Mathematical Music Theory: Algebraic, Geometric, Combinatorial, Topological And Applied Approaches To Understanding Musical Phenomena (Paperback)
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Questions about variation, similarity, enumeration, and
classification of musical structures have long intrigued both
musicians and mathematicians. Mathematical models can be found from
theoretical analysis to actual composition or sound production.
Increasingly in the last few decades, musical scholarship has
incorporated modern mathematical content. One example is the
application of methods from Algebraic Combinatorics, or Topology
and Graph Theory, to the classification of different musical
objects. However, these applications of mathematics in the
understanding of music have also led to interesting open problems
in mathematics itself.The reach and depth of the contributions on
mathematical music theory presented in this volume is significant.
Each contribution is in a section within these subjects: (i)
Algebraic and Combinatorial Approaches; (ii) Geometric,
Topological, and Graph-Theoretical Approaches; and (iii) Distance
and Similarity Measures in Music.
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