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.







Ptolemy Harmonics


Book Description

Ptolemy's comprehensive treatises on astronomy and geography were influential for nearly two millennia. Equally influential was his treatise on harmonics, the ancient science which combined and brought to completion the study of philosophy and science. This volume offers a comprehensive English translation and commentary of Ptolemy's Harmonics. The treatise begins with Ptolemy's study of pitches and intervals, for which he extracts both an idealized musical scale and a new acoustical tool. After discussing modulation, he expands his horizons by applying musical intervals to the human soul and celestial bodies, ultimately describing a cosmic harmony. The English translation faithfully reproduces Ptolemy's style and includes all the charts surviving in the manuscript tradition. The commentary offers a full exegesis of the text, loci paralleli, and citations of modern scholarly sources.




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.




Theophrastus of Eresus: Commentary Volume 9.1


Book Description

Among the many subjects on which Theophrastus wrote, music is one of the most fascinating, as is testified by the sources discussed in this volume. Although scanty, the material we have—sixteen texts altogether, most of which are indirect testimonies—gives an idea of the originality and modernity of Theophrastus’ thought on music, and makes us regret that we do not know more. Our philosopher conceives of music as something that originates from a movement in the soul caused by passions and comes into existence through the body. Accordingly, he is interested in performance—i.e. the way in which musical expression is brought to the listener—and its effects on the soul and the body—e.g. musical therapy.




Music and Philosophy in the Roman Empire


Book Description

Is music just matter of hearing and producing notes? And is it of interest just to musicians? By exploring different authors and philosophical trends of the Roman Empire, from Philo of Alexandria to Alexander of Aphrodisias, from the rebirth of Platonism with Plutarch to the last Neoplatonists, this book sheds light on different ways in which music and musical notions were made a crucial part of philosophical discourse. Far from being mere metaphors, notions such as harmony, concord and attunement became key philosophical tools in order to better grasp and conceptualise fundamental notions in philosophical debates from cosmology to ethics and from epistemology to theology. The volume is written by a distinguished international team of contributors.




A New History of Greek Mathematics


Book Description

Engaging and comprehensive history of Greek mathematics, with full attention to social contexts and its place in world history.




Archytas of Tarentum


Book Description

Archytas of Tarentum is one of the three most important philosophers in the Pythagorean tradition, a prominent mathematician, who gave the first solution to the famous problem of doubling the cube, an important music theorist, and the leader of a powerful Greek city-state. He is famous for sending a trireme to rescue Plato from the clutches of the tyrant of Syracuse, Dionysius II, in 361 BC. This 2005 study was the first extensive enquiry into Archytas' work in any language. It contains original texts, English translations and a commentary for all the fragments of his writings and for all testimonia concerning his life and work. In addition there are introductory essays on Archytas' life and writings, his philosophy, and the question of authenticity. Carl A. Huffman presents an interpretation of Archytas' significance both for the Pythagorean tradition and also for fourth-century Greek thought, including the philosophies of Plato and Aristotle.




Forms and Concepts


Book Description

Forms and Concepts is the first comprehensive study of the central role of concepts and concept acquisition in the Platonic tradition. It sets up a stimulating dialogue between Plato’s innatist approach and Aristotle’s much more empirical response. The primary aim is to analyze and assess the strategies with which Platonists responded to Aristotle’s (and Alexander of Aphrodisias’) rival theory. The monograph culminates in a careful reconstruction of the elaborate attempt undertaken by the Neoplatonist Proclus (6th century AD) to devise a systematic Platonic theory of concept acquisition.




Hellenistic Astrology


Book Description

Hellenistic astrology is a tradition of horoscopic astrology that was practiced in the Mediterranean region from approximately the first century BCE until the seventh century CE. It is the source of many of the modern traditions of astrology that still flourish around the world today, although it is only recently that many of the surviving texts of this tradition have become available again for astrologers to study. Hellenistic Astrology: The Study of Fate and Fortune is one of the first comprehensive surveys of this tradition in modern times. The book covers the history, philosophy, and techniques of ancient astrology, with a special focus on demonstrating how many of the fundamental concepts underlying the practice of western astrology originated during the Hellenistic period.