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A Multidimensional Scaling Analysis of Musical Sounds Based on Pseudo Phase Plane
Joint Authors
Costa, António C.
Lima, Miguel F. M.
Tenreiro Machado, José António
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-01
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
This paper studies musical opus from the point of view of three mathematical tools: entropy, pseudo phase plane (PPP), and multidimensional scaling (MDS).
The experiments analyze ten sets of different musical styles.
First, for each musical composition, the PPP is produced using the time series lags captured by the average mutual information.
Second, to unravel hidden relationships between the musical styles the MDS technique is used.
The MDS is calculated based on two alternative metrics obtained from the PPP, namely, the average mutual information and the fractal dimension.
The results reveal significant differences in the musical styles, demonstrating the feasibility of the proposed strategy and motivating further developments towards a dynamical analysis of musical sounds.
American Psychological Association (APA)
Lima, Miguel F. M.& Tenreiro Machado, José António& Costa, António C.. 2012. A Multidimensional Scaling Analysis of Musical Sounds Based on Pseudo Phase Plane. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-472100
Modern Language Association (MLA)
Lima, Miguel F. M.…[et al.]. A Multidimensional Scaling Analysis of Musical Sounds Based on Pseudo Phase Plane. Abstract and Applied Analysis No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-472100
American Medical Association (AMA)
Lima, Miguel F. M.& Tenreiro Machado, José António& Costa, António C.. A Multidimensional Scaling Analysis of Musical Sounds Based on Pseudo Phase Plane. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-472100
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-472100