Download or read book The Manual of Harmonics of Nicomachus the Pythagorean written by Nicomachus (of Gerasa.) and published by Red Wheel/Weiser. This book was released on 1994-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Nichomachus of Gerasa Manual of Harmonics written by Nicomachus Gerasenus and published by . This book was released on 1967 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nicomachus of Gerasa Manual of Harmonics written by Flora Rose Levin and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nicomachus of Gerasa Manual of Harmonics written by Flora Rose Levin and published by . This book was released on 1976 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nicomachus of Gerasa Manual of Harmonics written by Flora R. Levin and published by . This book was released on 1967 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Introduction to Arithmetic written by Nicomachus (of Gerasa.) and published by . This book was released on 1926 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nicomachus of Gerasa written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Features a biographical sketch of the Greek philosopher and mathematician Nicomachus of Gerasa (c.100 A.D.), presented by the School of Mathematics and Statistics of the University of Saint Andrews in Scotland. Notes that Nicomachus was one of the leading members of the Pythogareans School.

Download or read book The Manual of Harmonics of Nicomachus the Pythagorean Tradition written by Flora R. Levin and published by . This book was released on 1975 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nichomachus of Geresa Manual of Harmonics written by Nicomachus (of Gerasa.) and published by . This book was released on 1976 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Measuring Heaven written by Christiane L. Joost-Gaugier and published by Cornell University Press. This book was released on 2018-09-05 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surviving fragments of information about Pythagoras (born ca. 570 BCE) gave rise to a growing set of legends about this famous sage and his followers, whose reputations throughout Antiquity and the Middle Ages have never before been studied systematically. This book is the first to examine the unified concepts of harmony, proportion, form, and order that were attributed to Pythagoras in the millennium after his death and the important developments to which they led in art, architecture, mathematics, astronomy, music, medicine, morals, religion, law, alchemy, and the occult sciences. In this profusely illustrated book, Christiane L. Joost-Gaugier sets out the panorama of Pythagoras's influence and that of Christian and Jewish thinkers who followed his ideas in the Greek, Roman, early Christian, and medieval worlds. In illuminating this tradition of thought, Joost-Gaugier shows how the influence of Pythagoreanism was far broader than is usually realized, and that it affected the development of ancient and medieval art and architecture from Greek and Roman temples to Gothic cathedrals.Joost-Gaugier demonstrates that Pythagoreanism—centered on the dim memory of a single person that endured for centuries and grew ever-greater—inspired a new language for artists and architects, enabling them to be "modern."

Download or read book Horns Strings and Harmony written by Arthur H. Benade and published by Courier Corporation. This book was released on 2014-05-05 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engaging, accessible introduction to structure and sound-making capacities of piano, violin, trumpet, bugle, oboe, flute, saxophone, many other instruments. Also, how to build your own trumpet, flute, clarinet. Includes 76 illustrations. Bibliography.

Download or read book The Works of Archimedes written by Archimedes and published by . This book was released on 1897 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Music of the Spheres written by Jamie James and published by Springer Science & Business Media. This book was released on 1995-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: For centuries, scientists and philosophers believed the universe was a stately; ordered mechanism - mathematical and musical. The smooth operation of the cosmos created a divine harmony (perfect, spiritual, eternal) which composers sought to capture and express. With The Music of the Spheres, readers will see how this scientific philosophy emerged, how it was shattered by changing views of the universe and the rise of Romanticism, and to what extent (if at all) it survives today. From Pythagoras to Newton, Bach to Beethoven, and on into the twentieth century, it is a spellbinding examination of the interwoven fates of science and music throughout history.

Download or read book The Myth of Invariance written by Ernest G. McClain and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Myth of Invariance explores the unifying symbolism of music and number so the reader can understand the secrets from Babylon, Egypt, Greece and the Bible - secrets hidden for centuries.

Download or read book The Theology of Arithmetic written by Iamblichus and published by Red Wheel/Weiser. This book was released on 1988-01-01 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Attributed to Iamblichus (4th cent. AD), The Theology of Arithmetic is about the mystical, mathmatical and cosmological symbolism of the first ten numbers. Its is the longest work on number symbolism to survive from the ancient world, and Robin Waterfield's careful translation contains helpful footnotes, an extensive glossary, bibliography, and foreword by Keith Critchlow. Never before translated from ancient Greek, this important sourcework is indispensable for anyone intereted in Pythagorean though, Neoplatonism, or the symbolism of Numbers.

Download or read book Isagogical Crossroads from the Early Imperial Age to the End of Antiquity written by and published by BRILL. This book was released on 2022-01-17 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores how introductory methods shaped intellectual activity in various fields of thought of the post-Hellenistic Age and Late Antiquity by framing them in a wider interdisciplinary framework.

Download or read book Scientific Method in Ptolemy s Harmonics written by Andrew Barker and published by Cambridge University Press. This book was released on 2000 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.