The Manual of Harmonics of Nicomachus the Pythagorean

The Manual of Harmonics of Nicomachus the Pythagorean

Author: Nicomachus (of Gerasa.)

Publisher: Red Wheel/Weiser

Published: 1994-01-01

Total Pages: 226

ISBN-13: 9780933999435

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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.


Book Synopsis The Manual of Harmonics of Nicomachus the Pythagorean by : Nicomachus (of Gerasa.)

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.

Measuring Heaven

Measuring Heaven

Author: Christiane L. Joost-Gaugier

Publisher: Cornell University Press

Published: 2018-09-05

Total Pages: 374

ISBN-13: 1501727311

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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."


Book Synopsis Measuring Heaven by : Christiane L. Joost-Gaugier

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."

Apollo's Lyre

Apollo's Lyre

Author: Thomas J. Mathiesen

Publisher: U of Nebraska Press

Published: 1999-01-01

Total Pages: 832

ISBN-13: 9780803230798

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Ancient Greek music and music theory has fascinated scholars for centuries not only because of its intrinsic interest as a part of ancient Greek culture but also because the Greeks? grand concept of music has continued to stimulate musical imaginations to the present day. Unlike earlier treatments of the subject, Apollo?s Lyre is aimedøprincipally at the reader interested in the musical typologies, the musical instruments, and especially the historical development of music theory and its transmission through the Middle Ages. The basic method and scope of the study are set out in a preliminary chapter, followed by two chapters concentrating on the role of music in Greek society, musical typology, organology, and performance practice. The next chapters are devoted to the music theory itself, as it developed in three stages: in the treatises of Aristoxenus and the Sectio canonis; during the period of revival in the second century C.E.; and in late antiquity. Each theorist and treatise is considered separately but always within the context of the emerging traditions. The theory provides a remarkably complete and coherent system for explaining and analyzing musical phenomena, and a great deal of its conceptual framework, as well as much of its terminology, was borrowed and adapted by medieval Latin, Byzantine, and Arabic music theorists, a legacy reviewed in the final chapter. Transcriptions and analyses of some of the more complete pieces of Greek music preserved on papyrus or stone, or in manuscript, are integrated with a consideration of the musicopoetic types themselves. The book concludes with a comprehensive bibliography for the field, updating and expanding the author?s earlier Bibliography of Sources for the Study of Ancient Greek Music.


Book Synopsis Apollo's Lyre by : Thomas J. Mathiesen

Download or read book Apollo's Lyre written by Thomas J. Mathiesen and published by U of Nebraska Press. This book was released on 1999-01-01 with total page 832 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ancient Greek music and music theory has fascinated scholars for centuries not only because of its intrinsic interest as a part of ancient Greek culture but also because the Greeks? grand concept of music has continued to stimulate musical imaginations to the present day. Unlike earlier treatments of the subject, Apollo?s Lyre is aimedøprincipally at the reader interested in the musical typologies, the musical instruments, and especially the historical development of music theory and its transmission through the Middle Ages. The basic method and scope of the study are set out in a preliminary chapter, followed by two chapters concentrating on the role of music in Greek society, musical typology, organology, and performance practice. The next chapters are devoted to the music theory itself, as it developed in three stages: in the treatises of Aristoxenus and the Sectio canonis; during the period of revival in the second century C.E.; and in late antiquity. Each theorist and treatise is considered separately but always within the context of the emerging traditions. The theory provides a remarkably complete and coherent system for explaining and analyzing musical phenomena, and a great deal of its conceptual framework, as well as much of its terminology, was borrowed and adapted by medieval Latin, Byzantine, and Arabic music theorists, a legacy reviewed in the final chapter. Transcriptions and analyses of some of the more complete pieces of Greek music preserved on papyrus or stone, or in manuscript, are integrated with a consideration of the musicopoetic types themselves. The book concludes with a comprehensive bibliography for the field, updating and expanding the author?s earlier Bibliography of Sources for the Study of Ancient Greek Music.

A General History of the Science and Practice of Music

A General History of the Science and Practice of Music

Author: John Hawkins

Publisher:

Published: 1868

Total Pages: 540

ISBN-13:

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Book Synopsis A General History of the Science and Practice of Music by : John Hawkins

Download or read book A General History of the Science and Practice of Music written by John Hawkins and published by . This book was released on 1868 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Arithmetic

Introduction to Arithmetic

Author: Nicomachus (of Gerasa.)

Publisher:

Published: 1926

Total Pages: 348

ISBN-13:

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Book Synopsis Introduction to Arithmetic by : Nicomachus (of Gerasa.)

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:

Horns, Strings, and Harmony

Horns, Strings, and Harmony

Author: Arthur H. Benade

Publisher: Courier Corporation

Published: 2014-05-05

Total Pages: 289

ISBN-13: 0486173593

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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.


Book Synopsis Horns, Strings, and Harmony by : Arthur H. Benade

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.

Ars Notoria: The Notory Art of Solomon

Ars Notoria: The Notory Art of Solomon

Author:

Publisher: Simon and Schuster

Published: 2023-11-28

Total Pages: 896

ISBN-13: 164411528X

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A new translation of the classic magical text from the original Latin • Learn how medieval magicians conducted the rituals of angelic magic for quickly learning scholastic knowledge by means of prayers and figures • Provides a complete translation of Ars Notoria, both the short and long versions based on Julien Veronese’s critical Latin edition • Includes the first translation of The Work of Works (Opus Operum), The Short Art (Ars Brevis), the abridged version attributed to Thomas of Toledo, and The Pauline Art (Ars Paulina) • Presents all of the original figures (notae), essential for inspection during ritual The 13th-century magical treatise Ars Notoria offers a secret account of the angel Pamphilius revealing the sacred magic to King Solomon by which he gained his famed wisdom and learning, thereby expanding upon the biblical narrative in which Solomon received a vision of God. Solomon’s writings were transmitted to the first-century philosopher, Apollonius of Tyana, who provided a commentary entitled the Golden Flowers (Flores Aurei), which is contained within Ars Notoria. The magical text presents a complete system of angelic magic consisting of prayers addressed to angels, using figures called notae, for the purpose of acquiring scholastic and heavenly knowledge. Due to its rising popularity among university students, the magical ritual was reworked time and again, producing five treatises, dating from the 13th to 15th centuries; The Work of Works (Opus Operum), the Book of Flowers of Heavenly Teaching composed by the French Benedictine monk named John of Morigny, The Short Art (Ars Brevis), the abridged version attributed to Thomas of Toledo, and The Pauline Art (Ars Paulina), thereby establishing an entire notorial art tradition. In this new and complete translation of Ars Notoria, based on Julien Veronese’s critical Latin edition, translator Matthias Castle presents the classic magical text, both short and long versions, including four of the later treatises. Castle explains how these theurgic ritual practices were performed, giving special attention to all the original pictorial figures (notae), and how the art of memory relates to angelic magic. Providing practical instruction, extensive commentary, and in-depth background research and annotations, Ars Notoria: The Notory Art of Solomon is an essential sourcebook on angelic magic for scholar and magician alike.


Book Synopsis Ars Notoria: The Notory Art of Solomon by :

Download or read book Ars Notoria: The Notory Art of Solomon written by and published by Simon and Schuster. This book was released on 2023-11-28 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new translation of the classic magical text from the original Latin • Learn how medieval magicians conducted the rituals of angelic magic for quickly learning scholastic knowledge by means of prayers and figures • Provides a complete translation of Ars Notoria, both the short and long versions based on Julien Veronese’s critical Latin edition • Includes the first translation of The Work of Works (Opus Operum), The Short Art (Ars Brevis), the abridged version attributed to Thomas of Toledo, and The Pauline Art (Ars Paulina) • Presents all of the original figures (notae), essential for inspection during ritual The 13th-century magical treatise Ars Notoria offers a secret account of the angel Pamphilius revealing the sacred magic to King Solomon by which he gained his famed wisdom and learning, thereby expanding upon the biblical narrative in which Solomon received a vision of God. Solomon’s writings were transmitted to the first-century philosopher, Apollonius of Tyana, who provided a commentary entitled the Golden Flowers (Flores Aurei), which is contained within Ars Notoria. The magical text presents a complete system of angelic magic consisting of prayers addressed to angels, using figures called notae, for the purpose of acquiring scholastic and heavenly knowledge. Due to its rising popularity among university students, the magical ritual was reworked time and again, producing five treatises, dating from the 13th to 15th centuries; The Work of Works (Opus Operum), the Book of Flowers of Heavenly Teaching composed by the French Benedictine monk named John of Morigny, The Short Art (Ars Brevis), the abridged version attributed to Thomas of Toledo, and The Pauline Art (Ars Paulina), thereby establishing an entire notorial art tradition. In this new and complete translation of Ars Notoria, based on Julien Veronese’s critical Latin edition, translator Matthias Castle presents the classic magical text, both short and long versions, including four of the later treatises. Castle explains how these theurgic ritual practices were performed, giving special attention to all the original pictorial figures (notae), and how the art of memory relates to angelic magic. Providing practical instruction, extensive commentary, and in-depth background research and annotations, Ars Notoria: The Notory Art of Solomon is an essential sourcebook on angelic magic for scholar and magician alike.

Byzantine Military Manuals as Literary Works and Practical Handbooks

Byzantine Military Manuals as Literary Works and Practical Handbooks

Author: Georgios Chatzelis

Publisher: Routledge

Published: 2019-01-22

Total Pages: 202

ISBN-13: 0429947763

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This book studies the Sylloge Tacticorum, an important tenth-century Byzantine military manual. The text is used as a case study to connect military manuals with the challenges that Byzantium faced in its wars with the Arabs, but also with other aspects of Byzantine society such as education, politics, and conventions in the productions of literary texts and historical narratives. The book explores when the Sylloge was written and by whom. It identifies which passages from classical or earlier works were incorporated in the Sylloge and explains the reason why Byzantines imitated works of the past. The book then studies the extent to which the Sylloge was original and how innovation and originality were received in Byzantine society. Despite the imitation, the author of the Sylloge adapted and updated his material to reflect the current operational needs as well as the ideological, cultural and religious context of his time. Finally, the book attempts to estimate the extent to which Byzantine generals followed the advice of military manuals, and to explore whether historical narratives can be safely used to draw information as to how the Byzantines and the Arabs fought. Therefore, along with a detailed study of the Sylloge Tacticorum, this monograph also addresses broader issues of the pen and the sword such as military manuals in connection with Byzantine warfare, politics, literature, historiography and education.


Book Synopsis Byzantine Military Manuals as Literary Works and Practical Handbooks by : Georgios Chatzelis

Download or read book Byzantine Military Manuals as Literary Works and Practical Handbooks written by Georgios Chatzelis and published by Routledge. This book was released on 2019-01-22 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the Sylloge Tacticorum, an important tenth-century Byzantine military manual. The text is used as a case study to connect military manuals with the challenges that Byzantium faced in its wars with the Arabs, but also with other aspects of Byzantine society such as education, politics, and conventions in the productions of literary texts and historical narratives. The book explores when the Sylloge was written and by whom. It identifies which passages from classical or earlier works were incorporated in the Sylloge and explains the reason why Byzantines imitated works of the past. The book then studies the extent to which the Sylloge was original and how innovation and originality were received in Byzantine society. Despite the imitation, the author of the Sylloge adapted and updated his material to reflect the current operational needs as well as the ideological, cultural and religious context of his time. Finally, the book attempts to estimate the extent to which Byzantine generals followed the advice of military manuals, and to explore whether historical narratives can be safely used to draw information as to how the Byzantines and the Arabs fought. Therefore, along with a detailed study of the Sylloge Tacticorum, this monograph also addresses broader issues of the pen and the sword such as military manuals in connection with Byzantine warfare, politics, literature, historiography and education.

Greek Reflections on the Nature of Music

Greek Reflections on the Nature of Music

Author: Flora R. Levin

Publisher: Cambridge University Press

Published: 2009-04-27

Total Pages: 365

ISBN-13: 0521518903

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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.


Book Synopsis Greek Reflections on the Nature of Music by : Flora R. Levin

Download or read book Greek Reflections on the Nature of Music written by Flora R. Levin and published by Cambridge University Press. This book was released on 2009-04-27 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Music of Pythagoras

The Music of Pythagoras

Author: Kitty Ferguson

Publisher: Bloomsbury Publishing USA

Published: 2011-01-10

Total Pages: 384

ISBN-13: 0802779638

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The enthralling story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy, and the arts. "Pythagoras's influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him," wrote Arthur Koestler. Though most people know of him only for the famous Pythagorean Theorem (a2 +b2=c2), in fact the pillars of our scientific tradition-belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos-hark back to the convictions of this legendary sixth-century B.C. scholar. Born around 570 B.C. on the cultured Aegean island of Samos, Pythagoras (according to ancient tales) studied with the sage Thales nearby at Miletus, and with priests and scribes in Egypt and Babylon. Eventually he founded his own school at Croton in southern Italy, where he and his followers began to unravel the surprising deep truths concealed behind such ordinary tasks as tuning a lyre. While considering why some string lengths produced beautiful sounds and others discordant ones, they uncovered the ratios of musical harmony, and recognized that hidden behind the confusion and complexity of nature are patterns and orderly relationships. They had surprised the Creator at his drafting board and had glimpsed the mind of God! Some of them later would also find something darker in numbers and nature: irrationality, a revelation so unsettling and subversive that it may have contributed to the destruction of their brotherhood.


Book Synopsis The Music of Pythagoras by : Kitty Ferguson

Download or read book The Music of Pythagoras written by Kitty Ferguson and published by Bloomsbury Publishing USA. This book was released on 2011-01-10 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The enthralling story of Pythagoras and the Pythagoreans, whose insights transformed the ancient world and still inspire the realms of science, mathematics, philosophy, and the arts. "Pythagoras's influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him," wrote Arthur Koestler. Though most people know of him only for the famous Pythagorean Theorem (a2 +b2=c2), in fact the pillars of our scientific tradition-belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos-hark back to the convictions of this legendary sixth-century B.C. scholar. Born around 570 B.C. on the cultured Aegean island of Samos, Pythagoras (according to ancient tales) studied with the sage Thales nearby at Miletus, and with priests and scribes in Egypt and Babylon. Eventually he founded his own school at Croton in southern Italy, where he and his followers began to unravel the surprising deep truths concealed behind such ordinary tasks as tuning a lyre. While considering why some string lengths produced beautiful sounds and others discordant ones, they uncovered the ratios of musical harmony, and recognized that hidden behind the confusion and complexity of nature are patterns and orderly relationships. They had surprised the Creator at his drafting board and had glimpsed the mind of God! Some of them later would also find something darker in numbers and nature: irrationality, a revelation so unsettling and subversive that it may have contributed to the destruction of their brotherhood.