Abstract
This article offers a direct comparison of several mathematical approaches to the study of musical structure that have come to prominence in recent years. The methods include chord-based and scale-based approaches, both algebraic and geometric, discrete and continuous. All the methods are applied to the analysis of a single short musical passage, a sequence in Gabriel Fauré’s String Quartet, O. p. 121. The results not only reveal many areas of common ground among the techniques, but also highlight the distinctive features and capabilities of each.
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