Graph Theoretical Models Of Abstract Musical Transformation
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Graph Theoretical Models of Abstract Musical Transformation
An introduction to a new way of modeling musical surfaces for theorists and for generating precompositional relationships for composers, this unique music theory reference work introduces, classifies, and enumerates graph theoretical models for musical transformations in compositional and analytical applications. It also provides a practical application of musical applications for students of graph theory and could serve as an introduction to the further cross-integration of these two disciplines. Of interest to scholars, advanced music theory students, and composers, this work endeavors to facilitate the expression and understanding of musical ideas by presenting an unexplored way of notating relationships between transformational objects that is not attached to specific compositional or analytical systems. Graph theoretical models of abstract musical transformations supplement and refine the ability to articulate orderings with pitch structures in analytical environments. An extended analysis of the opening section of Form IV: Broken Sequences by Stefan Wolpe is used as a demonstration. The use of these diagrams to generate compositional surfaces differs slightly from their use in analysis: an analytical model relates to a single musical surface, whereas compositional applications can be used to generate any potential surface derived from construction of the graphs.
Abstract Musical Intervals
This book is an introduction to GIS (Generalized Interval Systems) theory that includes the major results of pitch-class theory. It provides mathematicians with applications of group theory to music and music theorists with the essential connections between GIS theory and pitch-class theory. Many of the results in pitch-class theory are not addressed by David Lewin (such as power functions or the Common Tone Theorem for inversions). The book states those results and generalizes them to conform with GIS theory. Finally, it addresses recent criticisms leveled at pitch-class theory and suggests how they can be addressed in GIS theory.
Visualizing Music
Author: Eric Isaacson
language: en
Publisher: Indiana University Press
Release Date: 2023-05-02
To feel the emotional force of music, we experience it aurally. But how can we convey musical understanding visually? Visualizing Music explores the art of communicating about music through images. Drawing on principles from the fields of vision science and information visualization, Eric Isaacson describes how graphical images can help us understand music. By explaining the history of music visualizations through the lens of human perception and cognition, Isaacson offers a guide to understanding what makes musical images effective or ineffective and provides readers with extensive principles and strategies to create excellent images of their own. Illustrated with over 300 diagrams from both historical and modern sources, including examples and theories from Western art music, world music, and jazz, folk, and popular music, Visualizing Music explores the decisions made around image creation. Together with an extensive online supplement and dozens of redrawings that show the impact of effective techniques, Visualizing Music is a captivating guide to thinking differently about design that will help music scholars better understand the power of musical images, thereby shifting the ephemeral to material.