Scientific Method in Ptolemy's Harmonics

ISBN: 9780521028646 出版年：2001 页码：291 Andrew Barker Cambridge University Press

Preface 1. Introduction 2. Reason and perception 3. Pitch and quantity 4. The ratios of the concords: (1) the Pythagoreans 5. The ratios of the concords: (2) Ptolemy's hupotheseis 6. Critique of Aristoxenian principles and conclusions 7. Ptolemy on the harmonic divisions of his predecessors 8. Melodic intervals: hupotheseis, derivations and adjustments 9. Larger systems: modulations in music and in method 10. The instruments 11. The tests 12. Harmonics in a wider perspective Bibliography Indexes.