Latent figures and recondite geometries in Scriabin’s Prelude op. 74 no. 1

Abstract

This paper considers Scriabin’s Prelude op. 74 no. 1 in a new light. Starting from studies on the relation between music and mathematics, it shows how harmonic functions in tonal language can be represented graphically using geometric figures. It then goes deeper into the prelude. The harmonies of the piece are taken into consideration: they are made up of several types of six-note chords. These chords are represented as hexachords and studied as geometrical figures. Thus, a link between harmonies and figures is created. Historical analogies and possible prospects for new research in the aspect of ‘harmony of the world’ are traced.

Keywords

Alexander Scriabin, prelude, the relation between mathematics and music, harmony, representation of harmonies through geometrical figures, hexachords