Abstract

Music played a significant role in the making of modern science. In ancient Greek natural philosophy, music formed the earthly meeting place between numbers and perception. For the next two millennia, music remained a central part of higher education, united with arithmetic, geometry, and astronomy in the quadrivium. Accordingly, innovations reverberated between all these fields. This book presents the “scientific revolution” more as a phase in the restoration and augmentation of the ancient project of musicalizing the world than a change in the basic project of natural philosophy. After discussing the original Pythagorean synthesis of music, mathematics, and sense-experiment, the book presents cases in which prior developments in music led to some new direction in science from the fourteenth century to the twentieth. These include encounters between harmony and fifteenth-century cosmological controversies, between musical initiatives and irrational numbers, between vibrating bodies and emergent electromagnetism. The book presents new accounts of Johannes Kepler’s use of music, of René Descartes’s and Marin Mersenne’s interweaving of music and natural philosophy, of Isaac Newton’s imposition of the musical scale on color, of Leonhard Euler’s musical work in relation to his mathematics and optical theory, of Thomas Young’s musical optics, of Hermann von Helmholtz’s and Bernhard Riemann’s development of new concepts of space from studies of seeing and hearing, of atomic spectra as overtones, of Max Planck’s experiments with harmoniums and choruses in relation to his subsequent quantum theory, and of the continuing quest for cosmic harmonies in contemporary physics.

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