- Introduction
- 1 Music and the Origins of Ancient Science
- 2 The Dream of Oresme
- 3 Moving the Immovable
- 4 Hearing the Irrational
- 5 Kepler and the Song of the Earth
- 6 Descartes ’ s Musical Apprenticeship
- 7 Mersenne ’ s Universal Harmony
- 8 Newton and the Mystery of the Major Sixth
- 9 Euler: The Mathematics of Musical Sadness
- 10 Euler: From Sound to Light
- 11 Young ’ s Musical Optics
- 12 Electric Sounds
- 13 Hearing the Field
- 14 Helmholtz and the Sirens
- 15 Riemann and the Sound of Space
- 16 Tuning the Atoms viii Contents
- 17 Planck ’ s Cosmic Harmonium
- 18 Unheard Harmonies
- Notes
- References
- Sources and Illustration Credits
- Acknowledgments
- Index
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