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Topological Features of the Two-Voice Inventions
Citation key Adiloglu2007
Author Adiloglu, K. and Obermayer, K.
Title of Book Communications in Computer and Information Science
Pages 67 – 73
Year 2007
ISBN 978-3-642-04578-3, 978-3-642-04579-0
ISSN 1865-0929
DOI 10.1007/978-3-642-04579-0_7
Volume 37
Note First International Conference, MCM 2007 Berlin, Germany, May 18–20, 2007 Revised Selected Papers
Editor Timour Klouche, Thomas Noll
Publisher Springer Berlin Heidelberg
Chapter Mathematics and Computation in Music
Abstract The similarity neighbourhood model is a mathematical model making use of statistical, semiotical and computational approaches to perform melodic analysis of given music pieces. This paper is dedicated to the investigation of topological features and conditions in connection with the model on the one hand and concrete analyses on the other. Therefore, checking the topological features of the model as well as the analysis results is a good practice not only for theoretical but also for practical reasons. The topological features of the similarity neighbourhood model are investigated from a theoretical viewpoint, in order to figure out under which conditions the collection of the results yielded by the model define a topology. These topological features are then tested practically on the two-voice inventions. These investigations and tests have shown that the similarity neighbourhood model defines a topology not for all cases, but depending on the analysed musical piece.
Bibtex Type of Publication Selected:music
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