A Geometry Of Music
DOWNLOAD
Download A Geometry Of Music PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get A Geometry Of Music book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
A Geometry Of Music
DOWNLOAD
Author : Dmitri Tymoczko
language : en
Publisher: OUP USA
Release Date : 2011-03-21
A Geometry Of Music written by Dmitri Tymoczko and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-21 with Mathematics categories.
In this groundbreaking book, Tymoczko uses contemporary geometry to provide a new framework for thinking about music, one that emphasizes the commonalities among styles from Medieval polyphony to contemporary jazz.
The Geometry Of Musical Rhythm
DOWNLOAD
Author : Godfried T. Toussaint
language : en
Publisher: CRC Press
Release Date : 2016-04-19
The Geometry Of Musical Rhythm written by Godfried T. Toussaint and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.
The Geometry of Musical Rhythm: What Makes a "Good" Rhythm Good? is the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explains how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly dispara
The Geometry Of Musical Rhythm
DOWNLOAD
Author : Godfried T. Toussaint
language : en
Publisher: CRC Press
Release Date : 2019-11-25
The Geometry Of Musical Rhythm written by Godfried T. Toussaint and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-25 with Mathematics categories.
The original edition of The Geometry of Musical Rhythm was the first book to provide a systematic and accessible computational geometric analysis of the musical rhythms of the world. It explained how the study of the mathematical properties of musical rhythm generates common mathematical problems that arise in a variety of seemingly disparate fields. The book also introduced the distance approach to phylogenetic analysis and illustrated its application to the study of musical rhythm. The new edition retains all of this, while also adding 100 pages, 93 figures, 225 new references, and six new chapters covering topics such as meter and metric complexity, rhythmic grouping, expressive timbre and timing in rhythmic performance, and evolution phylogenetic analysis of ancient Greek paeonic rhythms. In addition, further context is provided to give the reader a fuller and richer insight into the historical connections between music and mathematics.
The Topos Of Music
DOWNLOAD
Author : Guerino Mazzola
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
The Topos Of Music written by Guerino Mazzola and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
With contributions by numerous experts
Quadrivium
DOWNLOAD
Author : John Martineau
language : en
Publisher: eBook Partnership
Release Date : 2020-08-08
Quadrivium written by John Martineau and has been published by eBook Partnership this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-08 with Mathematics categories.
The Quadrivium consists of the four Liberal Arts of Number, Geometry, Music, and Cosmology, studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. They synthesize number, space, and time. Geometry is number in space, music is number in time, and the cosmos expresses number in space and time. Number, music, and geometry are metaphysical truths, good and beautiful everywhere at all times. Life across the universe investigates them. They foreshadow the physical sciences. This is the first volume to bring together the Quadrivium for many hundreds of years
A New Geometry Of Musical Chords In Interval Representation Dissonance Enrichment Degeneracy And Complementation
DOWNLOAD
Author : Miguel Gutierrez; Makoto Taniguchi
language : en
Publisher: iUniverse
Release Date : 2010-07-07
A New Geometry Of Musical Chords In Interval Representation Dissonance Enrichment Degeneracy And Complementation written by Miguel Gutierrez; Makoto Taniguchi and has been published by iUniverse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-07 with Mathematics categories.
This monograph covers a fresh and original look at musical chords. The idea emanates from the fact that an intervallic representation of the chord leads naturally to a discrete barycentric condition. This condition itself leads to a convenient geometric representation of the chordal space as a simplicial grid. Chords appear as points in this grid and musical inversions of the chord would generate beautiful polyhedra inscribed in concentric spheres centered at the barycenter. The radii of these spheres would effectively quantify the evenness and thus the consonance of the chord. Internal symmetries would collapse these chordal structures into polar or equatorial displays, creating a platform for a thorough degeneracy study. Appropiate morphisms would allow us to navigate through different chordal cardinalities and ultimately to characterise complementary chords.
Harmonograph
DOWNLOAD
Author : Anthony Ashton
language : en
Publisher: eBook Partnership
Release Date : 2018-04-01
Harmonograph written by Anthony Ashton and has been published by eBook Partnership this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-01 with Music categories.
Why did Pythagoras pause outside a Blacksmith's workshop? Can the nature of Harmony really be understood visually? Why do harmonies leave gaps or 'commas' when added together? In this charming little book Anthony Ashton uses a Victorian device called a Harmonograph to tell the story of Harmony and the intervals in the scale. With useful appendices and exquisite line drawings this is a unique and original introduction to this timeless subject. WOODEN BOOKS are small but packed with information. "e;Fascinating"e; FINANCIAL TIMES. "e;Beautiful"e; LONDON REVIEW OF BOOKS. "e;Rich and Artful"e; THE LANCET. "e;Genuinely mind-expanding"e; FORTEAN TIMES. "e;Excellent"e; NEW SCIENTIST. "e;Stunning"e; NEW YORK TIMES. Small books, big ideas.
The Geometry Of Music
DOWNLOAD
Author : Ryaed Owens
language : en
Publisher:
Release Date : 2020-06-05
The Geometry Of Music written by Ryaed Owens and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-05 with categories.
This book explores the Golden Ratio, Sacred Geometry and Vesica Piscis and how the mathematics occurs in flowers and in natural organic growth. The author, Ryaed Owens, explores how the Golden Ratio and Sacred Geometry are inherent in the timeless masterpieces of classical music that are still listened to today. The book explores the connection between music and mathematics, linking the proportions of real flowers to the proportions and mathematics in the music. Ryaed also presents original music, from which his exploration into the Golden Ratio began.
Quadrivium
DOWNLOAD
Author : John Martineau
language : en
Publisher:
Release Date : 2010
Quadrivium written by John Martineau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Cosmology categories.
Composed of six previously published works.
Audacious Euphony
DOWNLOAD
Author : Richard Cohn
language : en
Publisher: Oxford University Press
Release Date : 2012-01-01
Audacious Euphony written by Richard Cohn and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-01 with Music categories.
Music theorists have long believed that 19th-century triadic progressions idiomatically extend the diatonic syntax of 18th-century classical tonality, and have accordingly unified the two repertories under a single mode of representation. Post-structuralist musicologists have challenged this belief, advancing the view that many romantic triadic progressions exceed the reach of classical syntax and are mobilized as the result of a transgressive, anti-syntactic impulse. In Audacious Euphony, author Richard Cohn takes both of these views to task, arguing that romantic harmony operates under syntactic principles distinct from those that underlie classical tonality, but no less susceptible to systematic definition. Charting this alternative triadic syntax, Cohn reconceives what consonant triads are, and how they relate to one another. In doing so, he shows that major and minor triads have two distinct natures: one based on their acoustic properties, and the other on their ability to voice-lead smoothly to each other in the chromatic universe. Whereas their acoustic nature underlies the diatonic tonality of the classical tradition, their voice-leading properties are optimized by the pan-triadic progressions characteristic of the 19th century. Audacious Euphony develops a set of inter-related maps that organize intuitions about triadic proximity as seen through the lens of voice-leading proximity, using various geometries related to the 19th-century Tonnetz. This model leads to cogent analyses both of particular compositions and of historical trends across the long nineteenth century. Essential reading for music theorists, Audacious Euphony is also a valuable resource for music historians, performers and composers.