Differential Operators and Regression

Guerino Mazzola ()
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Guerino Mazzola: University of Zurich, Department of Information Technology MultiMedia Laboratory

Chapter Chapter 44 in The Topos of Music, 2002, pp 871-901 from Springer

Abstract: Summary We give statistical evidence from 28 performances of Schumann’s “Traumerei”, as measured by Bruno Repp [438] that the rhythmic, motivic, and harmonic analyses provided by RUBATO® are shaping structures for the agogical streams The statistical model is based on regression analysis and realizes shaping of agogics by a second degree linear differential operator as a function of analytical weights which are averaged over a natural grouping hierarchy (as described in chapter 43) of the score.

Keywords: Differential Operator; Onset Time; Beran Operator; Shaping Vector; Individual Curve (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-8141-8_44

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DOI: 10.1007/978-3-0348-8141-8_44

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