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...

The discovery and application of abstract musical properties has had a prominent role in compositional and theoretical literature during the past 40 years, and an accumulation of source material has been produced that makes a single cross-referenced source essential for standard working procedures. Abstract musical properties, most often associated with analytical or compositional systems, are presented here in an unbiased context that allows the reader freedom of association and interpretation. This type of reference is an important tool for anyone who uses set-class analysis in...