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The Science of Harmonics in Classical Greece 1st Edition by Andrew Barker ISBN 0521289955 9780521289955

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The Science of Harmonics in Classical Greece 1st Edition Andrew Barker Digital Instant Download

Author(s): Andrew Barker
ISBN(s): 9780521879514, 0521879515
Edition: 1
File Details: PDF, 5.58 MB
Year: 2007
Language: english
SKU: EB-1388436 Category: Tag:

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Product details:

ISBN 10:       0521289955
ISBN 13: 978-0521289955
Author:         Andrew Barker

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, studied by philosophers, mathematicians and astronomers as well as by musical specialists. This 2007 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.
 

The Science of Harmonics in Classical Greece 1st Table of contents:

Part I: Preliminaries

  1. Introduction
    • Overview of the topic and its significance.
  2. Beginnings, and the Problem of Measurement
    • Addressing the initial challenges in the study of harmonics and the issues surrounding measurement.

Part II: Empirical Harmonics

  1. Empirical Harmonics Before Aristoxenus

    • Exploration of earlier empirical approaches to harmonics prior to Aristoxenus.

  2. The Early Empiricists in Their Cultural and Intellectual Contexts

    • Discussion of the cultural and intellectual environment in which early empiricists worked.

  3. Interlude: Aristotle’s Account of Science and Its Methods

    • A brief interlude focusing on Aristotle’s perspective on science and its methodology.

  4. Aristoxenus: The Composition of the Elementa Harmonica

    • Examination of Aristoxenus’ work, Elementa Harmonica and its composition.

  5. Aristoxenus: Concepts and Methods in Elementa Harmonica Book 1

    • A closer look at the concepts and methods introduced in Book 1 of Elementa Harmonica.

  6. Elementa Harmonica Books 2-3: The Science Reconsidered

    • Analysis of the ideas and methods in Books 2-3 of Aristoxenus’ Elementa Harmonica.

  7. Elementa Harmonica Book 3 and Its Missing Sequel

    • Discussion of the content of Book 3 and the gap left by the lost sequel.

  8. Contexts and Purposes of Aristoxenus’ Harmonics

  • Exploring the broader context and intentions behind Aristoxenus’ harmonic theory.

Part III: Mathematical Harmonics

  1. Pythagorean Harmonics in the Fifth Century: Philolaus
  • Investigating the Pythagorean approach to harmonics, particularly in the works of Philolaus.
  1. Developments in Pythagorean Harmonics: Archytas
  • A focus on Archytas and his contributions to the development of Pythagorean harmonics.
  1. Plato
  • Examination of Plato’s influence on the harmonic sciences.
  1. Aristotle on the Harmonic Sciences
  • Analyzing Aristotle’s perspective on harmonics and its relation to his broader philosophical views.
  1. Systematizing Mathematical Harmonics: The Sectio Canonis
  • Discussion of the systematization of mathematical harmonics through the Sectio Canonis.
  1. Quantification Under Attack: Theophrastus’ Critique
  • Theophrastus’ critique of the quantitative approach to harmonics.

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Andrew Barker,Science,Harmonics,Classical Greece 1st