Scientific Method in Ptolemy's Harmonics
Cambridge University Press, 2000 - Всего страниц: 281
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.
Отзывы - Написать отзыв
Не удалось найти ни одного отзыва.
Reason and perception
Pitch and quantity
The ratios of the concords 1 the Pythagoreans
The ratios of the concords 2 Ptolemys hupotheseis
Critique of Aristoxenian principles and conclusions
Ptolemy on the harmonic divisions of his predecessors
Melodic intervals hupotheseis derivations and adjustments
Larger systems modulations in music and in method
Другие издания - Просмотреть все
accept analysis appear Archytas argument Aristoxenian Aristoxenus attributes attunement beginning bridge called chapter chromatic clear close conclusions concords consider constitution construction context correct corresponding course derived described designed detail determined diatonic discussion distance distinction divided divisions earlier epimoric equal evidence explain fact fifth follows formal fourth function further give given greater Greek harmonic hearing Hence higher hupotheseis identify instance intervals involved issues kind later least length less lower lowest mathematical matter means measure melodic method move musical nature notes octave offers passage perception pitch position possible practice present principles procedure propositions Ptolemy Ptolemy's Pythagorean quantitative question ratios reason reference reflections relations relevant remarks represented says seems sense sequence simple smaller sort sound strings structure suggestion tension tests tetrachord theoretical theorists things third tion tone tonoi tonos true whole