‘False Relations’: Hermann von Helmholtz's Study of Music and the Delineation of Nineteenth-Century Physiology

This article discusses the delineation between physiology and music theory in Hermann von Helmholtz’s On the Sensations of Tone as a Physiological Basis for the Theory of Music (1863). It takes the phenomenon of ‘false relations’ as a point of departure to question the method- ology Helmholtz devised to study music and hearing. The key to understanding this experimental method is the concept of ‘controlled deviation’, which is substantiated in two main sections. After providing some background information on the history of music theory, the first section explores ‘false relations’ within the context of physiological experimentation and hydrodynamics, the two most important areas of Helmholtz’s scientific research. The second section of the article is centred on the experimental methods of Helmholtz as used in his investigation of vision and hearing. More specifically, it introduces notions of distortion, defamiliarization and deviation to distinguish levels of physiology that relate to the body and to cognition. As it turns out, music posed specific problems for the researcher. Beyond the ephemerality of sound, the malleability of hearing and of musical aesthetics proved even more of an obstacle for controlled experimentation. The article concludes with a discussion of Hugo Riemann, who continued to explore the central finding of Helmholtz, namely that the rules of music change due to the habits of the listener.