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Author : John H. Chalmers
Publisher :
ISBN 13 :
Total Pages : 262 pages
Book Rating : 4.F/5 ( download)
Download or read book Divisions of the Tetrachord written by John H. Chalmers and published by . This book was released on 1993 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Binning Monro
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Modes of Ancient Greek Music written by David Binning Monro and published by . This book was released on 1894 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Terumi Narushima
Publisher : Routledge
ISBN 13 : 1317513428
Total Pages : 376 pages
Book Rating : 4.3/5 (175 download)
Download or read book Microtonality and the Tuning Systems of Erv Wilson written by Terumi Narushima and published by Routledge. This book was released on 2017-11-22 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the emerging area of microtonality through an examination of the tuning theories of Erv Wilson. It is the first publication to offer a broad discussion of this influential theorist whose innovations have far-reaching ramifications for microtonal tuning systems. This study addresses the breadth and complexity of Wilson’s work by focusing on his microtonal keyboard designs as a means to investigate his tuning concepts and their practical applications. Narushima examines materials ranging from historical and experimental tunings to instrument design, as well as musical applications of mathematical theories and multidimensional geometry. The volume provides an analysis of some of Wilson’s most significant theoretical ideas, including the Scale Tree, Moments of Symmetry, Constant Structures, and Combination-Product Sets. These theories offer ways to conceptualize musical scales as patterns with structural integrity and whose shapes can be altered to produce infinitely varying forms. The book shows how these structural properties can be used to map scales onto a microtonal keyboard by providing step-by-step guidelines and clearly illustrated examples. Most importantly, it brings together theoretical and practical methods of tuning to enable composers, performers, and instrument designers to explore previously uncharted areas of microtonality, making a significant contribution to the fields of music theory, composition and music technology.
Author : Carl Huffman
Publisher : Cambridge University Press
ISBN 13 : 9781139444071
Total Pages : 704 pages
Book Rating : 4.4/5 (44 download)
Download or read book Archytas of Tarentum written by Carl Huffman and published by Cambridge University Press. This book was released on 2005-05-23 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 0691202818
Total Pages : 720 pages
Book Rating : 4.6/5 (912 download)
Download or read book Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean written by Victor J. Katz and published by Princeton University Press. This book was released on 2024-09-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In recent decades, there has been extensive research on Greek mathematics that has considerably enlarged the scope of this area of inquiry. Traditionally, "Greek mathematics" has referred to the axiomatic work of Archimedes, Apollonius, and others in the first three centuries BCE. However, there is a wide body of mathematical work that appeared in the eastern Mediterranean during the time it was under Greek influence (from approximately 400 BCE to 600 CE), which remains under-explored in the existing scholarship. This sourcebook provides an updated look at Greek mathematics, bringing together classic Greek texts with material from lesser-known authors, as well as newly uncovered texts that have been omitted in previous scholarship. The book adopts a broad scope in defining mathematical practice, and as such, includes fields such as music, optics, and architecture. It includes important sources written in languages other than Greek in the eastern Mediterranean area during the period from 400 BCE to 600 CE, which show some influence from Greek culture. It also includes passages that highlight the important role mathematics played in philosophy, pedagogy, and popular culture. The book is organized topically; chapters include arithmetic, plane geometry, astronomy, and philosophy, literature, and education. Within each chapter, the (translated) texts are organized chronologically. The book weaves together ancient commentary on classic Greek works with the works themselves to show how the understanding of mathematical ideas changed over the centuries"--
Author : Aristoxenus
Publisher : Strelbytskyy Multimedia Publishing
ISBN 13 :
Total Pages : 161 pages
Book Rating : 4.:/5 ( download)
Download or read book The Complete Works of Aristoxenus. The Elements of Harmony and others. Illustrated written by Aristoxenus and published by Strelbytskyy Multimedia Publishing. This book was released on 2021-10-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aristoxenus of Tarentum was a Greek Peripatetic philosopher, and a pupil of Aristotle. He was the most famous music theorist in antiquity and came to be referred to simply as "the musician." Most of his writings, which dealt with philosophy, ethics and music, have been lost, but one musical treatise, Elements of Harmony survives incomplete, as well as some fragments concerning rhythm and meter. The Elements is the chief source of our knowledge of ancient Greek music. Αριστόξενος
Author : Aristoxenus
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Harmonics of Aristoxenus written by Aristoxenus and published by . This book was released on 1902 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aristoxenus
Publisher :
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.A/5 ( download)
Download or read book Aristoxenou Harmonika Stoicheia written by Aristoxenus and published by . This book was released on 1902 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andrew Barker
Publisher : Cambridge University Press
ISBN 13 : 0521616972
Total Pages : 596 pages
Book Rating : 4.5/5 (216 download)
Download or read book Greek Musical Writings: Volume 2, Harmonic and Acoustic Theory written by Andrew Barker and published by Cambridge University Press. This book was released on 1984 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 1: The musician an d his art ; vol. 2: Harmonic and acoustic theory
Author : George Crabb
Publisher :
ISBN 13 :
Total Pages : 732 pages
Book Rating : 4.:/5 (334 download)
Download or read book Universal Technological Dictionary written by George Crabb and published by . This book was released on 1823 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aristoxenus
Publisher :
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (89 download)
Download or read book The Harmonics of Aristonexus written by Aristoxenus and published by . This book was released on 1902 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Smythe Babcock Mathews
Publisher :
ISBN 13 :
Total Pages : 228 pages
Book Rating : 4.A/5 ( download)
Download or read book How to Understand Music written by William Smythe Babcock Mathews and published by . This book was released on 1888 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Smith
Publisher :
ISBN 13 :
Total Pages : 858 pages
Book Rating : 4.A/5 ( download)
Download or read book A Concise Dictionary of Greek and Roman Antiquities written by William Smith and published by . This book was released on 1898 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jon Solomon
Publisher : BRILL
ISBN 13 : 9004351167
Total Pages : 231 pages
Book Rating : 4.0/5 (43 download)
Download or read book Ptolemy Harmonics written by Jon Solomon and published by BRILL. This book was released on 2018-07-17 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author :
Publisher : Cambridge University Press
ISBN 13 : 1316239683
Total Pages : 592 pages
Book Rating : 4.3/5 (162 download)
Download or read book Porphyry's Commentary on Ptolemy's Harmonics written by and published by Cambridge University Press. This book was released on 2015-09-15 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : David Cram
Publisher : Routledge
ISBN 13 : 1351561499
Total Pages : 254 pages
Book Rating : 4.3/5 (515 download)
Download or read book John Wallis: Writings on Music written by David Cram and published by Routledge. This book was released on 2017-07-05 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Wallis (1616-1703), was one of the foremost British mathematicians of the seventeenth century, and is also remembered for his important writings on grammar and logic. An interest in music theory led him to produce translations into Latin of three ancient Greek texts - those of Ptolemy, Porphyry and Bryennius - and involved him in discussions with Henry Oldenburg, the Secretary of the Royal Society, Thomas Salmon and other individuals as his ideas developed. The texts presented in this volume cover the relationship of ancient and modern tuning theory, the building of organs, the phenomena of resonance, and other musical topics.
Author : William Pole
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.:/5 (334 download)
Download or read book The Philosophy of Music written by William Pole and published by . This book was released on 1910 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
