Analysing musical performance through functional data analysis: rhythmic structure in Schumann's Traumerei

Josue Almansa*, Pedro Delicado

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

9 Citaten (Scopus)


Functional data analysis (FDA) is a relatively new branch of statistics devoted to describing and modelling data that are complete functions. Many relevant aspects of musical performance and perception can be understood and quantified as dynamic processes evolving as functions of time. In this paper, we show that FDA is a statistical methodology well suited for research into the field of quantitative musical performance analysis. To demonstrate this suitability, we consider tempo data for 28 performances of Schumann's Traumerei and analyse them by means of functional principal component analysis (one of the most powerful descriptive tools included in FDA). Specifically, we investigate the commonalities and differences between different performances regarding (expressive) timing, and we cluster similar performances together. We conclude that musical data considered as functional data reveal performance structures that might otherwise go unnoticed.

Originele taal-2English
Pagina's (van-tot)207-225
Aantal pagina's19
TijdschriftConnection Science
Nummer van het tijdschrift2-3
StatusPublished - 2009
Extern gepubliceerdJa

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