The Science of Harmonics in Classical Greece

Contents

• Part I . Preliminaries: Introduction;
• 1. Beginnings, and the problem of measurement;
• Part II . Empirical Harmonics:
• 2. Empirical harmonics before Aristoxenus;
• 3. The early empiricists in their cultural and intellectual contexts;
• 4. Interlude on Aristotle's account of a science and its methods;
• 5. Aristoxenus: the composition of the Elementa harmonica;
• 6. Aristoxenus: concepts and methods in Elementa harmonica Book 1;
• 7. Elementa harmonica Books 2-3: the science reconsidered;
• 8. Elementa harmonica Book 3 and its missing sequel;
• 9. Contexts and purposes of Aristoxenus' harmonics;
• Part III . Mathematical Harmonics:
• 10. Pythagorean harmonics in the fifth century: Philolaus;
• 11. Developments in Pythagorean harmonics: Archytas;
• 12. Plato;
• 13. Aristotle on the harmonic sciences;
• 14. Systematising mathematical harmonics: the Sectio canonis;
• 15. Quantification under attack: Theophrastus' critique; Postscript: The later centuries.