Authors:
- 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
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (9 chapters)
-
Front Matter
-
Back Matter
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.
Authors and Affiliations
-
Department of Music, University of Lethbridge, Lethbridge, Canada
Georg Boenn
Bibliographic Information
Book Title: Computational Models of Rhythm and Meter
Authors: Georg Boenn
DOI: https://doi.org/10.1007/978-3-319-76285-2
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-76284-5Published: 09 July 2018
Softcover ISBN: 978-3-030-09452-2Published: 14 February 2019
eBook ISBN: 978-3-319-76285-2Published: 20 June 2018
Edition Number: 1
Number of Pages: XII, 187
Number of Illustrations: 44 b/w illustrations, 3 illustrations in colour
Topics: Pattern Recognition, Simulation and Modeling, Mathematics in Music