This book presents and discusses the fundamental topic of classification of musical objects, such as chords, motifs, and gestures. Their classification deals with the exhibition of isomorphism classes. Our structure types include local and global constructions, the latter being similar to global structures in geometry, such as differentiable manifolds. The discussion extends to the role, which classification plays for the creative construction of musical compositions. Our examples include references to classical compositions, such as Beethoven’s sonatas, and some of the author’s own compositions of classical and jazz styles. We also discuss software that enables the application of classification to musical creativity. The volume is addressed to an audience that would apply classification to programming and creative musical construction.

"The Treatise on musical objects by Pierre Schaeffer is regarded as his most important work on music and its relationship with technology. Schaeffer refers to his earlier research in musique concráete and expands this to suggest a methodology of working with sounds resulting from the recording process. Drawing on acoustics, physics, and physiology, but also philosophy and the relationship between subject and object, Schaeffer's book summarizes his theoretical and practical work in music composition. North and Dack present an important book in the history of ideas in Europe that will resonate far beyond electroacoustic music."--Provided by publisher.

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. remove

This is the first volume of the second edition of the now classic book “The Topos of Music”. The author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives.

With contributions by numerous experts

By exploring the many different types and forms of contemporary musical instruments, this book contributes to a better understanding of the conditions of instrumentality in the 21st century. Providing insights from science, humanities and the arts, authors from a wide range of disciplines discuss the following questions: · What are the conditions under which an object is recognized as a musical instrument? · What are the actions and procedures typically associated with musical instruments? · What kind of (mental and physical) knowledge do we access in order to recognize or use something as a musical instrument? · How is this knowledge being shaped by cultural conventions and temporal conditions? · How do algorithmic processes 'change the game' of musical performance, and as a result, how do they affect notions of instrumentality? · How do we address the question of instrumental identity within an instrument's design process? · What properties can be used to differentiate successful and unsuccessful instruments? Do these properties also contribute to the instrumentality of an object in general? What does success mean within an artistic, commercial, technological, or scientific context?