Physics – Popular Physics
Scientific paper
2008-07-16
Physics
Popular Physics
14 pages, 5 figures, revetex4, an earlier version has been submitted to the American Journal of Physics on July 8, 2008
Scientific paper
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.
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