Author: John H. Chalmers
Publisher:
ISBN:
Category : Music
Languages : en
Pages : 262

Get Book Here

Book Description

Author: Terumi Narushima
Publisher: Routledge
ISBN: 1317513428
Category : Music
Languages : en
Pages : 376

Get Book Here

Book Description
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: David Binning Monro
Publisher:
ISBN:
Category : Music
Languages : en
Pages : 180

Get Book Here

Book Description

Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 0691202818
Category : Mathematics
Languages : en
Pages : 720

Get Book Here

Book Description
"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: John Keeble
Publisher:
ISBN:
Category :
Languages : en
Pages : 294

Get Book Here

Book Description

Author: Carl Huffman
Publisher: Cambridge University Press
ISBN: 9781139444071
Category : Philosophy
Languages : en
Pages : 704

Get Book Here

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.

Author: Aristoxenus
Publisher: Strelbytskyy Multimedia Publishing
ISBN:
Category : Philosophy
Languages : en
Pages : 161

Get Book Here

Book Description
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:
Category : Music
Languages : en
Pages : 316

Get Book Here

Book Description

Author: Aristoxenus
Publisher:
ISBN:
Category : Music
Languages : en
Pages : 324

Get Book Here

Book Description

Author: Andrew Barker
Publisher: Cambridge University Press
ISBN: 0521616972
Category : Music
Languages : en
Pages : 596

Get Book Here

Book Description
Vol. 1: The musician an d his art ; vol. 2: Harmonic and acoustic theory