Applying Dynamic Programming to Tempo/Loudness in Expressive Performances for Phrase Structure Analysis by Ching-Hua Chuan Introduction Chopin Prelude No.1 by Evgeny Kissin Chopin Prelude No.1 by Artur Rubinstein Chopin Prelude No.7 by Evgeny Kissin Chopin Prelude No.7 by Artur Rubinstein

Introduction

The objective of this research is to analyze the relations between the dynamics in expressive performances and musical phrase structure. We use an asymmetric quadratic curve to model the tempo changes in each phrase, and apply dynamic programming for seeking the best fit curves in order to define boundaries between phrases. The results of four piano performances are shown as follows.

Prelude No. 1 by Evgeny Kissin

Prelude No. 1 by Artur Rubinstein

Prelude No. 7 by Evgeny Kissin

Prelude No. 7 by Artur Rubinstein

The University of Southern California does not screen or control the content on this website and thus does not guarantee the accuracy, integrity, or quality of such content. All content on this website is provided by and is the sole responsibility of the person from which such content originated, and such content does not necessarily reflect the opinions of the University administration or the Board of Trustees