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Differential Operators and Regression

In: The Topos of Music

Author

Listed:
  • Guerino Mazzola

    (University of Zurich, Department of Information Technology MultiMedia Laboratory)

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.

Suggested Citation

  • Guerino Mazzola, 2002. "Differential Operators and Regression," Springer Books, in: The Topos of Music, chapter 0, pages 871-901, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-8141-8_44
    DOI: 10.1007/978-3-0348-8141-8_44
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