When exploringexploring musical spaces, it's essential to consider various aspects and implications. Exploring Musical Spaces: A Synthesis of Mathematical Approaches. This book is a comprehensive synthesis of mathematical techniques in music theory, using the idea of musical spaces as a unifying thread. Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. Exploring Musical Space - Science.
One of the great attractions of this work is its generality: It aims to describe what is in effect a “space of all chords” wherein the Tonnetz and many other familiar depictions of musical relationships appear as subspaces, projections, and cross sections. Jay Hook’s “Exploring Musical Spaces” Published with ... Project MUSE - Exploring Musical Spaces: A Synthesis of Mathematical ....
Hook writes, "Music unfolds on a vast playing field with a mathematical structure of great complexity and beauty. Exploring Musical Spaces | PDF | Group (Mathematics) - Scribd. This document provides an overview of Julian Hook's book "Exploring Musical Spaces: A Synthesis of Mathematical Approaches". The book uses concepts from mathematics such as spaces, sets, graphs, groups, and transformations to analyze musical concepts including pitch, chords, scales, and voice leading. Exploring Musical Spaces poses a unique challenge to taxonomy. Julian Hook’s highly anticipated book is undoubtedly deserving of being called a “treatise,” as Ian Quinn does on its back cover.

Exploring Musical Spaces - Julian Hook - Oxford University Press.

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