A Geometry Of Music

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A Geometry Of Music
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Author : Dmitri Tymoczko
language : en
Publisher: Oxford University Press
Release Date : 2010-12-03
A Geometry Of Music written by Dmitri Tymoczko 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 2010-12-03 with Music categories.
How is the Beatles' "Help!" similar to Stravinsky's "Dance of the Adolescents?" How does Radiohead's "Just" relate to the improvisations of Bill Evans? And how do Chopin's works exploit the non-Euclidean geometry of musical chords? In this groundbreaking work, author Dmitri Tymoczko describes a new framework for thinking about music that emphasizes the commonalities among styles from medieval polyphony to contemporary rock. Tymoczko identifies five basic musical features that jointly contribute to the sense of tonality, and shows how these features recur throughout the history of Western music. In the process he sheds new light on an age-old question: what makes music sound good? A Geometry of Music provides an accessible introduction to Tymoczko's revolutionary geometrical approach to music theory. The book shows how to construct simple diagrams representing relationships among familiar chords and scales, giving readers the tools to translate between the musical and visual realms and revealing surprising degrees of structure in otherwise hard-to-understand pieces. Tymoczko uses this theoretical foundation to retell the history of Western music from the eleventh century to the present day. Arguing that traditional histories focus too narrowly on the "common practice" period from 1680-1850, he proposes instead that Western music comprises an extended common practice stretching from the late middle ages to the present. He discusses a host of familiar pieces by a wide range of composers, from Bach to the Beatles, Mozart to Miles Davis, and many in between. A Geometry of Music is accessible to a range of readers, from undergraduate music majors to scientists and mathematicians with an interest in music. Defining its terms along the way, it presupposes no special mathematical background and only a basic familiarity with Western music theory. The book also contains exercises designed to reinforce and extend readers' understanding, along with a series of appendices that explore the technical details of this exciting new theory.
A Geometry Of Music
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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
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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
Quadrivium
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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
Mathematics And Music
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Author : Gerard Assayag
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-07-10
Mathematics And Music written by Gerard Assayag and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-07-10 with Mathematics categories.
In Western Civilization Mathematics and Music have a long and interesting history in common, with several interactions, traditionally associated with the name of Pythagoras but also with a significant number of other mathematicians, like Leibniz, for instance. Mathematical models can be found for almost all levels of musical activities from composition to sound production by traditional instruments or by digital means. Modern music theory has been incorporating more and more mathematical content during the last decades. This book offers a journey into recent work relating music and mathematics. It contains a large variety of articles, covering the historical aspects, the influence of logic and mathematical thought in composition, perception and understanding of music and the computational aspects of musical sound processing. The authors illustrate the rich and deep interactions that exist between Mathematics and Music.
Quadrivium
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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
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Author : Richard Cohn
language : en
Publisher: OUP USA
Release Date : 2012-01-23
Audacious Euphony written by Richard Cohn and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-23 with Music categories.
Reconstructing historical conceptions of harmonic distance, Audacious Euphony advances a geometric model appropriate to understanding triadic progressions characteristic of 19th-century music. Author Rick Cohn uncovers the source of the indeterminacy and uncanniness of romantic music, as he focuses on the slippage between chromatic and diatonic progressions and the systematic principles under which each operate.
Sacred Geometry For Artists Dreamers And Philosophers
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Author : John Oscar Lieben
language : en
Publisher: Simon and Schuster
Release Date : 2018-08-28
Sacred Geometry For Artists Dreamers And Philosophers written by John Oscar Lieben and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-28 with Body, Mind & Spirit categories.
An illustrated guide to harmonics--the sacred geometry principles that underlie the natural world--and its practical applications • Demonstrates how the vesica piscis is a matrix from which ideas and forms emanate, connecting cosmic time cycles, measures of space, and musical tones • Provides harmonic analyses of ancient sculpture, architecture, the solar system, the Earth-Moon relationship, and the structure of water and waves • Explains how to apply sacred geometry to create building floor plans, pottery figures, gardens, and sacred ceremonial spaces We are in the midst of a revival of an ancient way of looking at the world--an approach that enabled great civilizations of the past to bring forth inventions of great beauty and power. This school of thought--harmonics--envisioned the natural world and the solar system as an interlocking matrix of harmonious numbers, perfectly woven into the creative fabric of life and the surrounding universe. Exploring the art and science of harmonics, John Oscar Lieben shows how to create harmonious forms using the ancient tools of number, geometry, and musical tone--an approach that resonates with nature’s own ways of creation. He demonstrates many practical applications that result from the study of harmonics, providing analyses of ancient sculpture and architecture, as well as original examples of building floor plans, pottery figures based on planetary proportions, gardens based on harmonic principles, and ceremonial spaces that honor cosmic harmonies and sacred geometric relationships. Showing how harmonics can also be applied to the mysteries of time and space, the author demonstrates how the vesica piscis and many other variations of the vesica shape reveal numerical synchronicities and correspondences that connect cosmic time cycles, measures of space, and musical tones. The author applies harmonics and the “vesica construction” matrix to illustrate many of nature’s wonders, including the Earth-Moon relationship, the interactions of the Golden Number and the musical scale, and how the Flower of Life symbol connects the universal field with the pattern of raindrops falling on a pond. Offering an approach to sacred geometry that pairs the mystical with the practical, the cosmic with the earthly, the author reveals how the art and science of harmonics should be required study for both the artist and the seeker of eternal truths as well as the scientist who seeks an entrance into the sacred foundations of nature.
Mathematical Music Theory
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Author :
language : en
Publisher:
Release Date : 2019
Mathematical Music Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
The Geometry Of Musical Rhythm
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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.