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Activity Number:
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29
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Type:
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Contributed
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Date/Time:
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Sunday, August 2, 2009 : 2:00 PM to 3:50 PM
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Sponsor:
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IMS
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| Abstract - #305585 |
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Title:
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Fractals, Multifractals, and Wavelets for Modeling the Data Arising in Experimental Musicology and the Clustering of Musical Performances
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Author(s):
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Makarand V. Ratnaparkhi*+
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Companies:
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Wright State University
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Address:
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, Dayton, OH, 45435,
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Keywords:
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Fractal dimension ; wavelets ; clusteing
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Abstract:
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In this paper, we concentrate on the performances by fifteen intermediate level violin students taking lessons from the same teacher but playing on their own violins. The collected data are in the form of simple audio files that were digitized for the analysis purposes. These files are primarily the time series representing the performances. Thus, here, the focus is on modeling and the analysis of time series using fractals and wavelets. Interestingly, the multifractals also seem to be relevant in view of understanding certain aspects of musical performance. In particular, the fractals and wavelets are used for the quantification of the quality of the performance and related discriminatory issues. We were able to identify four groups of fifteen students based on the fractal dimensions that were calculated for the performance of each student.
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- The address information is for the authors that have a + after their name.
- Authors who are presenting talks have a * after their name.
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