A Geometry of Music

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Publisher : OUP USA
ISBN 13 : 0195336674
Total Pages : 469 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis A Geometry of Music by : Dmitri Tymoczko

Download or read book A Geometry of Music written by Dmitri Tymoczko and published by OUP USA. This book was released on 2011-03-21 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher : CRC Press
ISBN 13 : 135124776X
Total Pages : 371 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis The Geometry of Musical Rhythm by : Godfried T. Toussaint

Download or read book The Geometry of Musical Rhythm written by Godfried T. Toussaint and published by CRC Press. This book was released on 2019-11-25 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Geometry of Musical Rhythm

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Author :
Publisher : CRC Press
ISBN 13 : 1466512032
Total Pages : 357 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis The Geometry of Musical Rhythm by : Godfried T. Toussaint

Download or read book The Geometry of Musical Rhythm written by Godfried T. Toussaint and published by CRC Press. This book was released on 2016-04-19 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

A Geometry of Music

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Author :
Publisher : Oxford University Press
ISBN 13 : 0199887500
Total Pages : 469 pages
Book Rating : 4.1/5 (998 download)

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Book Synopsis A Geometry of Music by : Dmitri Tymoczko

Download or read book A Geometry of Music written by Dmitri Tymoczko and published by Oxford University Press. This book was released on 2011-03-21 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Harmonograph

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Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802714099
Total Pages : 68 pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis Harmonograph by : Anthony Ashton

Download or read book Harmonograph written by Anthony Ashton and published by Bloomsbury Publishing USA. This book was released on 2003-04-01 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ashton presents a short, illustrated introduction to the evolution of simple harmonic theory. Illustrations.

Sacred Geometry

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Publisher : eBook Partnership
ISBN 13 : 1912706024
Total Pages : 64 pages
Book Rating : 4.9/5 (127 download)

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Book Synopsis Sacred Geometry by : Miranda Lundy

Download or read book Sacred Geometry written by Miranda Lundy and published by eBook Partnership. This book was released on 2018-04-01 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is there a secret visual language all around us? What's so special about the shape of the Great Pyramid? Why is there something so sixy about circles? How many ways can you tile the plane? Lavishly illustrated by the author, this enchanting small introduction to one of the oldest and most widely-used ancient traditions on Earth will forever change the way you look at a triangle, arch, window, fabric repeat, ceramic pattern, graphic design, painting, spiral or flower. 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.

Audacious Euphony

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Publisher : Oxford University Press
ISBN 13 : 0199773211
Total Pages : 256 pages
Book Rating : 4.1/5 (997 download)

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Book Synopsis Audacious Euphony by : Richard Cohn

Download or read book Audacious Euphony written by Richard Cohn and published by Oxford University Press. This book was released on 2012-01-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quadrivium

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Publisher :
ISBN 13 : 9781907155048
Total Pages : 409 pages
Book Rating : 4.1/5 (55 download)

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Book Synopsis Quadrivium by : John Martineau

Download or read book Quadrivium written by John Martineau and published by . This book was released on 2010 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composed of six previously published works.

Sacred Geometry

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Publisher : Sterling Publishing Company, Inc.
ISBN 13 : 9781402765827
Total Pages : 164 pages
Book Rating : 4.7/5 (658 download)

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Book Synopsis Sacred Geometry by : Stephen Skinner

Download or read book Sacred Geometry written by Stephen Skinner and published by Sterling Publishing Company, Inc.. This book was released on 2009 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating and inspirational look at the vital link between the hidden geometrical order of the universe, geometry in nature, and the geometry of the man-made world. The Da Vinci Code has awakened the public to the powerful and very ancient idea that religious truths and mathematical principles are intimately intertwined. Sacred Geometry offers an accessible way of understanding how that connection is revealed in nature and the arts. Over the centuries, temple builders have relied on magic numbers to shape sacred spaces, astronomers have used geometry to calculate holy seasons, and philosophers have observed the harmony of the universe in the numerical properties of music. By showing how the discoveries of mathematics are manifested over and over again in biology and physics, and how they have inspired the greatest works of art, this illuminating study reveals the universal principles that link us to the infinite.

Voice Leading

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Publisher : MIT Press
ISBN 13 : 026233545X
Total Pages : 273 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Voice Leading by : David Huron

Download or read book Voice Leading written by David Huron and published by MIT Press. This book was released on 2016-08-26 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible scientific explanation for the traditional rules of voice leading, including an account of why listeners find some musical textures more pleasing than others. Voice leading is the musical art of combining sounds over time. In this book, David Huron offers an accessible account of the cognitive and perceptual foundations for this practice. Drawing on decades of scientific research, including his own award-winning work, Huron offers explanations for many practices and phenomena, including the perceptual dominance of the highest voice, chordal-tone doubling, direct octaves, embellishing tones, and the musical feeling of sounds “leading” somewhere. Huron shows how traditional rules of voice leading align almost perfectly with modern scientific accounts of auditory perception. He also reviews pertinent research establishing the role of learning and enculturation in auditory and musical perception. Voice leading has long been taught with reference to Baroque chorale-style part-writing, yet there exist many more musical styles and practices. The traditional emphasis on Baroque part-writing understandably leaves many musicians wondering why they are taught such an archaic and narrow practice in an age of stylistic diversity. Huron explains how and why Baroque voice leading continues to warrant its central pedagogical status. Expanding beyond choral-style writing, Huron shows how established perceptual principles can be used to compose, analyze, and critically understand any kind of acoustical texture from tune-and-accompaniment songs and symphonic orchestration to jazz combo arranging and abstract electroacoustic music. Finally, he offers a psychological explanation for why certain kinds of musical textures are more likely to be experienced by listeners as pleasing.

Sacred Geometry for Artists, Dreamers, and Philosophers

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Author :
Publisher : Simon and Schuster
ISBN 13 : 1620557029
Total Pages : 256 pages
Book Rating : 4.6/5 (25 download)

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Book Synopsis Sacred Geometry for Artists, Dreamers, and Philosophers by : John Oscar Lieben

Download or read book Sacred Geometry for Artists, Dreamers, and Philosophers written by John Oscar Lieben and published by Simon and Schuster. This book was released on 2018-08-28 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quadrivium

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Publisher : eBook Partnership
ISBN 13 : 1912706245
Total Pages : 416 pages
Book Rating : 4.9/5 (127 download)

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Book Synopsis Quadrivium by : John Martineau

Download or read book Quadrivium written by John Martineau and published by eBook Partnership. This book was released on 2020-08-08 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

The Topos of Music

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Publisher : Birkhäuser
ISBN 13 : 303488141X
Total Pages : 1310 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Topos of Music by : Guerino Mazzola

Download or read book The Topos of Music written by Guerino Mazzola and published by Birkhäuser. This book was released on 2012-12-06 with total page 1310 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions by numerous experts

Mathematics and Music

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Publisher : Springer Science & Business Media
ISBN 13 : 3662049279
Total Pages : 294 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Mathematics and Music by : Gerard Assayag

Download or read book Mathematics and Music written by Gerard Assayag and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Music on the Move

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Publisher : University of Michigan Press
ISBN 13 : 0472126784
Total Pages : 323 pages
Book Rating : 4.4/5 (721 download)

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Book Synopsis Music on the Move by : Danielle Fosler-Lussier

Download or read book Music on the Move written by Danielle Fosler-Lussier and published by University of Michigan Press. This book was released on 2020-06-10 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Music is a mobile art. When people move to faraway places, whether by choice or by force, they bring their music along. Music creates a meaningful point of contact for individuals and for groups; it can encourage curiosity and foster understanding; and it can preserve a sense of identity and comfort in an unfamiliar or hostile environment. As music crosses cultural, linguistic, and political boundaries, it continually changes. While human mobility and mediation have always shaped music-making, our current era of digital connectedness introduces new creative opportunities and inspiration even as it extends concerns about issues such as copyright infringement and cultural appropriation. With its innovative multimodal approach, Music on the Move invites readers to listen and engage with many different types of music as they read. The text introduces a variety of concepts related to music’s travels—with or without its makers—including colonialism, migration, diaspora, mediation, propaganda, copyright, and hybridity. The case studies represent a variety of musical genres and styles, Western and non-Western, concert music, traditional music, and popular music. Highly accessible, jargon-free, and media-rich, Music on the Move is suitable for students as well as general-interest readers.

The Rhythmic Structure of Music

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Publisher : University of Chicago Press
ISBN 13 : 9780226115221
Total Pages : 232 pages
Book Rating : 4.1/5 (152 download)

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Book Synopsis The Rhythmic Structure of Music by : Grosvenor W. Cooper

Download or read book The Rhythmic Structure of Music written by Grosvenor W. Cooper and published by University of Chicago Press. This book was released on 1963-04-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the authors develop a theoretical framework based on a Gestalt approach, viewing rhythmic experience in terms of pattern perception or groupings. Musical examples of increasing complexity are used to provide training in the analysis, performance, and writing of rhythm.

Music by the Numbers

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Publisher : Princeton University Press
ISBN 13 : 0691202966
Total Pages : 176 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Music by the Numbers by : Eli Maor

Download or read book Music by the Numbers written by Eli Maor and published by Princeton University Press. This book was released on 2020-03-10 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century.