Computational Counterpoint Worlds Mathematical Theory, Software, and Experiments /

• Main Authors: Agustín-Aquino, Octavio Alberto (Author), Junod, Julien (Author), Mazzola, Guerino (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Computational Music Science,
• Subjects: Computer science.; Music.; Application software.; Computer Science.; Computer Appl. in Arts and Humanities.

The mathematical theory of counterpoint was originally aimed at simulating the composition rules described in Johann Joseph Fux’s Gradus ad Parnassum. It soon became apparent that the algebraic apparatus used in this model could also serve to define entirely new systems of rules for composition, gen...

Table of Contents:

• Counterpoint
• First-Species Model
• Preliminary Background
• Quasipolarities and Interval Dichotomies
• Towers of Counterpoint
• Graphs
• Transformations
• Implementation
• Second-Species Model
• Hypergesture Homology
• Glossary
• Index.