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The Mathematics Of Rubato: Analyzing Expressivetiming In Sergei Rachmaninoff’S Performances Of Hisown Music, Meilun An

Theses and Dissertations

The purpose of this paper is to quantitatively investigate the nature of Rachmaninoff’s playing, with a specific focus on his own compositions. The primary source of data for this study is inter-onset intervals, which will be captured through the use of Sonic Visualiser. Inter-onset intervals are calculated by taking the difference between the onset of two adjacent notes, and can be used to calculate an instantaneous tempo. Various statistical methods will be used, including the variance, moving average, Pearson correlation coefficient, and a custom defined metric. The calculation of variance is especially useful in detecting major deviations from the average …