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Computational Models of Rhythm and Meter

Authors: Boenn, Georg

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  • Presents new methods for the composition, analysis and transcription of musical rhythms, meter and form
  • Demonstrates a new process for the automated transcription of rhythms from musical performances
  • Contains algorithms for the measurement of syncopation and metric grouping
  • Discusses the nature of rhythm and musical form, their perception and their meaning
  • Provides step-by-step guidance through all aspects of the analysis
  • Offers a new shorthand notation for musical rhythm
  • Evidence is provided through numerous illustrated real world examples of music transcriptions and rhythmic analysis based on human performances
  • Includes links to the author’s open source code project chunking written in C++, which implements all the methods for rhythm analysis and composition presented in this book
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eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-319-76285-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-76284-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-09452-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Computational Models of Rhythm and Meter also contains numerous investigations into the timing structures of human rhythm and metre perception carried out within the last decade. Our solution to the transcription problem has been tested using a wide range of musical styles, and in particular using two recordings of J.S. Bach's Goldberg Variations by Glenn Gould. The technology is capable of modelling musical rhythm and meter by using Farey Sequences, and by detecting duration classes in a windowed analysis, which also detects the underlying tempo. The outcomes represent human performances of music as accurate as possible within Western score notation.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-319-76285-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-76284-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-09452-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Computational Models of Rhythm and Meter
Authors
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-76285-2
DOI
10.1007/978-3-319-76285-2
Hardcover ISBN
978-3-319-76284-5
Softcover ISBN
978-3-030-09452-2
Edition Number
1
Number of Pages
XII, 187
Number of Illustrations
44 b/w illustrations, 3 illustrations in colour
Topics