Harmonic vectors and stylistic analysis: a computer-aided analysis of the first movement of Brahms’ String Quartet Op. 51-1

Abstract

The theory of the harmonic vectors, originally developed by Nicolas Meeùs, primarily between 1988 and 1992, is a theory of harmony based on a novel type of classification of harmonic root progressions. ‘Charles’, a software to automate calculations, is used here to present a vectorial analysis of the first movement of Brahms’ first String Quartet. Resulting from the analysis, the harmonic style of Brahms is discussed and characterized, as well as the use of his harmonic language compared with other Romantic composers. A hypothesis on the connections between dissonances and the preferential movement of particular chords allows a discussion about the particular influence of modality on Brahms’ harmonic language. It is argued that Brahms’ harmonic language is perhaps closer to the French composers of his time rather than the more geographically close ones.