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Computational Models of Rhythm and Meter

 , eBook
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ISBN-13:
9783319762852
Einband:
, eBook
Seiten:
187
Autor:
Georg Boenn
eBook Typ:
PDF
eBook Format:
PDF
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:

Preface.-Introduction.- Phenomenology of Rhythm and Meter.- A Shorthand Notation for Musical Rhythm.- Partitions and Musical Sentences.- The Use of the Burrows-Wheeler Transform for Analysis and Composition.- Christoffel Rhythms.- The Farey Sequence as a Model for Musical Rhythm and Meter.- Introduction to Quantization.- Rhythm Quantization.- Future Work.- Conclusion.- References.
This book presents the latest computational models of rhythm and meter that are based on number theory, combinatorics and pattern matching. Two computational models of rhythm and meter are evaluated: The first one explores a relatively new field in Mathematics, namely Combinatorics on Words, specifically Christoffel Words and the Burrows-Wheeler Transform, together with integer partitions. The second model uses filtered Farey Sequences in combination with specific weights that are assigned to inter-onset ratios. This work is assessed within the context of the current state of the art of tempo tracking and computational music transcription. Furthermore, the author discusses various representations of musical rhythm, which lead to the development of a new shorthand notation that will be useful for musicologists and composers.