Computational Counterpoint Worlds: Mathematical Theory, Software, and Experiments (Computational Music Science) - Hardcover

Agustín-Aquino, Octavio Alberto; Junod, Julien; Mazzola, Guerino

Hardcover

ISBN 10: 331911235X ISBN 13: 9783319112350

Verlag: Springer, 2015

Inhaltsangabe

<P>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, GENERATED BY NEW CHOICES OF CONSONANCES AND DISSONANCES, WHICH IN TURN LEAD TO NEW RESTRICTIONS GOVERNING THE SUCCESSION OF INTERVALS. </P><P>&NBSP;</P><P>THIS IS THE FIRST BOOK BRINGING TOGETHER RECENT DEVELOPMENTS AND PERSPECTIVES ON MATHEMATICAL COUNTERPOINT THEORY IN DETAIL. THE AUTHORS INCLUDE RECENT THEORETICAL RESULTS ON COUNTERPOINT WORLDS, THE EXTENSION OF COUNTERPOINT TO MICROTONAL PITCH SYSTEMS, THE SINGULAR HOMOLOGY OF COUNTERPOINT MODELS, AND THE SOFTWARE IMPLEMENTATION OF CONTRAPUNTAL MODELS.</P><P>&NBSP;</P><P>THE BOOK IS SUITABLE FOR GRADUATES AND RESEARCHERS. A GOOD COMMAND OF ALGEBRA IS A PREREQUISITE FOR UNDERSTANDING THE CONSTRUCTION OF THE MODEL. </P>

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Críticas:

“It is really an example of putting theory into practice. Apart from illustrative examples and problems to solve, the authors’ approach is highly algorithmic. ... In addition, the appendices are extremely helpful on mathematical basics, a guide to counterpoint worlds and strict digraphs, and the index is quite useful.” (Jean Paul Van Bendegem, Mathematical Reviews, October, 2018)

Reseña del editor:

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, generated by new choices of consonances and dissonances, which in turn lead to new restrictions governing the succession of intervals.

 

This is the first book bringing together recent developments and perspectives on mathematical counterpoint theory in detail. The authors include recent theoretical results on counterpoint worlds, the extension of counterpoint to microtonal pitch systems, the singular homology of counterpoint models, and the software implementation of contrapuntal models.

 

The book is suitable for graduates and researchers. A good command of algebra is a prerequisite for understanding the construction of the model.

Über diese Auflage

• Verlag: Springer
• Erscheinungsdatum: 2015
• ISBN 10: 331911235X
• ISBN 13: 9783319112350
• Einband: Tapa dura
• Auflage: 1
• Anzahl der Seiten: 232