The Prelude from Suite for solo Piano Le Tombeau de Couperin by Maurice Ravel: compositional and interpretive considerations

This article, part of a doctoral research conducted at the Department of Music of the ECA/USP/FAPESP aims to elucidate compositional and technical procedures in the Prelude from the suite Le Tombeau de Couperin (1914-1917) by french composer Maurice Ravel. Such procedures are traced back to French barroque composer Francois Couperin (1668-1733) harpsichord pieces, and are translated by Ravel to the modern piano. Thus, by studying the works for harpsichord by Couperin it was possible to see a kind of fusion of two languages and two instrumental techniques apart in time. This fusion of languages poses several interpretive questions.

A quantitative approach to evolution of music and philosophy

The development of new statistical and computational methods is increasingly making it possible to bridge the gap between hard sciences and humanities. In this study, we propose an approach based on a quantitative evaluation of attributes of objects in fields of humanities, from which concepts such as dialectics and opposition are formally defined mathematically. As case studies, we analyzed the temporal evolution of classical music and philosophy by obtaining data for 8 features characterizing the corresponding fields for 7 well-known composers and philosophers, which were treated with multivariate statistics and pattern recognition methods. A bootstrap method was applied to avoid statistical bias caused by the small sample data set, with which hundreds of artificial composers and philosophers were generated, influenced by the 7 names originally chosen. Upon defining indices for opposition, skewness and counter-dialectics, we confirmed the intuitive analysis of historians in that classical music evolved according to a master apprentice tradition, while in philosophy changes were driven by opposition. Though these case studies were meant only to show the possibility of treating phenomena in humanities quantitatively, including a quantitative measure of concepts such as dialectics and opposition, the results are encouraging for further application of the approach presented here to many other areas, since it is entirely generic.