2008/07/16 by Kaća Bradonjić, Kaca Bradonjic, Bradonjic, Kaca
Computer Science · Neuroscience · Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #Interactive and Immersive Displays #Music Technology and Sound Studies #Popular Physics (physics.pop-ph) #Tactile and Sensory Interactions #physics.gen-ph #physics.pop-ph
paper · pdf · doi:10.48550/arxiv.0807.2493
14 pages, 5 figures, revetex4, an earlier version has been submitted to the American Journal of Physics on July 8, 2008
arxiv created 2008/07/16 · openalex publication_date 2008/07/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A combination of three or more tones played together is called a chord. In the chromatic scale, chords which are consonant are of particular interest and can be divided into several groups, two main ones being the major and minor chords. This paper shows that if three sounds are produced by three spatially separated sources, a "happy" sounding major chord can be observed as its "sad" sounding counterpart depending on the observer's velocity - a consequence of the well known Doppler effect. The analysis is further extended to show that almost any triad may be observed by choosing an appropriate frame of reference, and several interesting symmetries, asymmetries and features of the system are discussed. Finally, the possibility of applications of this effect in the music performance and creation in the context of "interactive listener" is discussed and suggestions for overcoming some technical difficulties are proposed.