The Science of Harmonics in Classical Greece

The Science of Harmonics in Classical Greece

by Andrew Barker
     
 

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ISBN-10: 0521289955

ISBN-13: 9780521289955

Pub. Date: 06/16/2011

Publisher: Cambridge University Press

The ancient science of harmonics investigates the arrangements of pitched sounds which form the basis of musical melody, and the principles which govern them. It was the most important branch of Greek musical theory, studies by philosophers, mathematicians and astronomers as well as by musical specialists. This book examines its development during the period when

Overview

The ancient science of harmonics investigates the arrangements of pitched sounds which form the basis of musical melody, and the principles which govern them. It was the most important branch of Greek musical theory, studies by philosophers, mathematicians and astronomers as well as by musical specialists. This book examines its development during the period when its central ideas and rival schools of thought were established, laying the foundations for the speculations of later antiquity, the Middle Ages and the Renaissance. It concentrates particularly on the theorists' methods and purposes and the controversies that their various approaches to the subject provoked. It also seeks to locate the discipline within the broader cultural environment of the period; and it investigates, sometimes with surprising results, the ways in which the theorists' work draws on and in some cases influences that of philosophers and other intellectuals.

Product Details

ISBN-13:
9780521289955
Publisher:
Cambridge University Press
Publication date:
06/16/2011
Edition description:
Reissue
Pages:
494
Product dimensions:
6.00(w) x 9.00(h) x 1.30(d)

Related Subjects

Table of Contents

List of figures ix

Preface xi

Part I Preliminaries

Introduction 3

1 Beginnings, and the problem of measurement 19

Part II Empirical Harmonics

2 Empirical harmonics before Aristoxenus 33

3 The early empiricists in their cultural and intellectual contexts 68

4 Interlude on Aristotle's account of a science and its methods 105

5 Aristoxenus: the composition of the Elementa hannonica 113

6 Aristoxenus: concepts and methods in Elementa harmonica Book I 136

7 Elementa harmonica Books II-III: the science reconsidered 165

8 Elementa harmonica Book in and its missing sequel 197

9 Contexts and purposes of Aristoxenus' harmonics 229

Part III Mathematical Harmonics

10 Pythagorean harmonics in the fifth century: Philolaus 263

11 Developments in Pythagorean harmonics: Archytas 287

12 Plato 308

13 Aristotle on the harmonic sciences 328

14 Systematising mathematical harmonics: the Sectio canonis 364

15 Quantification under attack: Theophrastus' critique 411

Postscript: The later centuries 437

Bibliography 450

Index of proper names 461

General index 469

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