The Science of Harmonics in Classical Greece


Book Description

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 Monochord in Ancient Greek Harmonic Science


Book Description

Traces the history of the monochord from its earliest appearance to Claudius Ptolemy (mid-second century AD).




A Companion to Science, Technology, and Medicine in Ancient Greece and Rome, 2 Volume Set


Book Description

A Companion to Science, Technology, and Medicine in Ancient Greece and Rome brings a fresh perspective to the study of these disciplines in the ancient world, with 60 chapters examining these topics from a variety of critical and technical perspectives. Brings a fresh perspective to the study of science, technology, and medicine in the ancient world, with 60 chapters examining these topics from a variety of critical and technical perspectives Begins coverage in 600 BCE and includes sections on the later Roman Empire and beyond, featuring discussion of the transmission and reception of these ideas into the Renaissance Investigates key disciplines, concepts, and movements in ancient science, technology, and medicine within the historical, cultural, and philosophical contexts of Greek and Roman society Organizes its content in two halves: the first focuses on mathematical and natural sciences; the second focuses on cultural applications and interdisciplinary themes 2 Volumes




A Companion to Ancient Greek and Roman Music


Book Description

A COMPANION TO ANCIENT GREEK AND ROMAN MUSIC A comprehensive guide to music in Classical Antiquity and beyond Drawing on the latest research on the topic, A Companion to Ancient Greek and Roman Music provides a detailed overview of the most important issues raised by the study of ancient Greek and Roman music. An international panel of contributors, including leading experts as well as emerging voices in the field, examine the ancient 'Art of the Muses' from a wide range of methodological, theoretical, and practical perspectives. Written in an engaging and accessible style, this book explores the pervasive presence of the performing arts in ancient Greek and Roman culture—ranging from musical mythology to music theory and education, as well as archaeology and the practicalities of performances in private and public contexts. But this Companion also explores the broader roles played by music in the Graeco-Roman world, examining philosophical, psychological, medical and political uses of music in antiquity, and aspects of its cultural heritage in Mediaeval and Modern times. This book debunks common myths about Greek and Roman music, casting light on yet unanswered questions thanks to newly discovered evidence. Each chapter includes a discussion of the tools or methodologies that are most appropriate to address different topics, as well as detailed case studies illustrating their effectiveness. This book Offers new research insights that will contribute to the future developments of the field, outlining new interdisciplinary approaches to investigate the importance of performing arts in the ancient world and its reception in modern culture Traces the history and development of ancient Greek and Roman music, including their Near Eastern roots, following a thematic approach Showcases contributions from a wide range of disciplines and international scholarly traditions Examines the political, social and cultural implications of music in antiquity, including ethnicity, regional identity, gender and ideology Presents original diagrams and transcriptions of ancient scales, rhythms, and extant scores that facilitate access to these vital aspects of ancient music for scholars as well as practicing musicians Written for a broad range of readers including classicists, musicologists, art historians, and philosophers, A Companion to Ancient Greek and Roman Music provides a rich, informative and thought-provoking picture of ancient music in Classical Antiquity and beyond.




The Science of Harmonics in Classical Greece


Book Description

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.




Scientific Method in Ptolemy's Harmonics


Book Description

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.




The Cambridge Companion to Ancient Greek and Roman Science


Book Description

Provides a broad framework for engaging with ideas relevant to ancient Greek and Roman science, medicine and technology.




Porphyry's Commentary on Ptolemy's Harmonics


Book Description

Porphyry's Commentary, the only surviving ancient commentary on a technical text, is not merely a study of Ptolemy's Harmonics. It includes virtually free-standing philosophical essays on epistemology, metaphysics, scientific methodology, aspects of the Aristotelian categories and the relations between Aristotle's views and Plato's, and a host of briefer comments on other matters of wide philosophical interest. For musicologists it is widely recognised as a treasury of quotations from earlier treatises, many of them otherwise unknown; but Porphyry's own reflections on musical concepts (for instance notes, intervals and their relation to ratios, quantitative and qualitative conceptions of pitch, the continuous and discontinuous forms of vocal movement, and so on) and his snapshots of contemporary music-making have been undeservedly neglected. This volume presents the first English translation and a revised Greek text of the Commentary, with an introduction and notes designed to assist readers in engaging with this important and intricate work.




Greek Reflections on the Nature of Music


Book Description

In this book, Flora Levin explores how and why music was so important to the ancient Greeks. She examines the distinctions that they drew between the theory of music as an art ruled by number and the theory wherein number is held to be ruled by the art of music. These perspectives generated more expansive theories, particularly the idea that the cosmos is a mirror-image of music's structural elements and, conversely, that music by virtue of its cosmic elements - time, motion, and the continuum - is itself a mirror-image of the cosmos. These opposing perspectives gave rise to two opposing schools of thought, the Pythagorean and the Aristoxenian. Levin argues that the clash between these two schools could never be reconciled because the inherent conflict arises from two different worlds of mathematics. Her book shows how the Greeks' appreciation of the profundity of music's interconnections with philosophy, mathematics, and logic led to groundbreaking intellectual achievements that no civilization has ever matched.




The Manual of Harmonics of Nicomachus the Pythagorean


Book Description

In ancient Greek thought, the musical scale discovered by the philosopher Pythagoras was seen as a utopian model of the harmonic order behind the structure of the cosmos and human existence. Through proportion and harmony, the musical scale bridges the gap between two extremes. It encapsulates the most fundamental pattern of harmonic symmetry and demonstrates how the phenomena of nature are inseparably related to one another through the principle of reciprocity. Because of these relationships embodied in its structure, the musical scale was seen as an ideal metaphor of human society by Plato and other Pythagorean thinkers, for it is based on the cosmic principles of harmony, reciprocity, and proportion, whereby each part of the whole receives its just and proper share. This book is the first ever complete translation of The Manual of Harmonics by the Pythagorean philosopher Nicomachus of Gerasa (second century A.D.) published with a comprehensive, chapter-by-chapter commentary. It is a concise and well-organized introduction to the study of harmonics, the universal principles of relation embodied in the musical scale. Also included is a remarkable chapter-by-chapter commentary by the translator, Flora Levin, which makes this work easily accessible to the reader today. Dr. Levin explains the principles of Pythagorean harmony, provides extensive background information, and helps to situate Nicomachus' thought in the history of ideas. This important work constitutes a valuable resource for all students of ancient philosophy, Western cosmology, and the history of music.