Graph Theoretical Models of Abstract Musical Transformation
Greenwood Press (Verlag)
978-0-313-30158-2 (ISBN)
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.
JEFFREY JOHNSON is Associate Director of Artistic Education and Chair of the Music Theory Department at the renowned Boys Choir of Harlem. He has degrees in musical composition from Boston University, Eastman School of Music, and Ithaca College. He is an active composer, conductor, and theorist. His first book, Thesaurus of Abstract Musical Properties was published by Greenwood Press in 1995.
Preface
Graphing
Introduction
Formalities
Enumeration: Degree Sequences
Comparisons and Structural Properties
Construction
Basic Techniques
Classification
K-Regular Graphs
Hierarchies
Realizations
Literal Spaces
Extended Possibilities
"Shock and the Ever-Extending Opposites": Pitch-Class Graphs and Broken Sequences
Exercises
Appendix I: Complementary Hexachordal Graphs
Appendix II: 12-Position Degree Sequences from 5-Regular
Appendix III: Selected 12-Position Degree Sequences by Edges Required
Bibliography
Erscheint lt. Verlag | 21.8.1997 |
---|---|
Reihe/Serie | Music Reference Collection |
Sprache | englisch |
Maße | 156 x 235 mm |
Gewicht | 567 g |
Themenwelt | Kunst / Musik / Theater ► Musik ► Musiktheorie / Musiklehre |
ISBN-10 | 0-313-30158-1 / 0313301581 |
ISBN-13 | 978-0-313-30158-2 / 9780313301582 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
aus dem Bereich