Book contents
- Frontmatter
- Contents
- 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
- Index of names
- Index of topics
Frontmatter
Published online by Cambridge University Press: 22 September 2009
- Frontmatter
- Contents
- 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
- Index of names
- Index of topics
Summary
- Type
- Chapter
- Information
- Scientific Method in Ptolemy's Harmonics , pp. i - ivPublisher: Cambridge University PressPrint publication year: 2001