Scientific Method in Ptolemy's Harmonics

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Cambridge University Press, 2000 - Всего страниц: 281
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The science called 'harmonics' was one of the major intellectual enterprises of Greek antiquity. Ptolemy's treatise seeks to invest it with new scientific rigour; its consistently sophisticated procedural self-awareness marks it as a key text in the history of science. This book is a sustained methodological exploration of Ptolemy's project. After an analysis of his explicit pronouncements on the science's aims and the methods appropriate to it, it examines Ptolemy's conduct of his investigation in detail, concluding that despite occasional uncertainties, the declared procedure is followed with remarkable fidelity. Ptolemy pursues tenaciously his novel objective of integrating closely the project's theoretical and empirical phases and shows astonishing mastery of the concept, the design and the conduct of controlled experimental tests. By opening up this neglected text to historians of science, the book aims to provide a point of departure for wider studies of Greek scientific method.
 

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Содержание

Reason and perception
14
Pitch and quantity
33
The ratios of the concords 1 the Pythagoreans
54
The ratios of the concords 2 Ptolemys hupotheseis
74
Critique of Aristoxenian principles and conclusions
88
Ptolemy on the harmonic divisions of his predecessors
109
Melodic intervals hupotheseis derivations and adjustments
132
Larger systems modulations in music and in method
158
The instruments
192
The tests
230
Harmonics in a wider perspective
259
Bibliography
270
Works by modern authors
271
Index of names
274
Index of topics
276
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