The Science of Harmonics in Classical Greece

ISBN: 9780521289955 出版年：2007 页码：495 Andrew Barker Cambridge University Press

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.