The Geometry Of Musical Rhythm

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The Geometry Of Musical Rhythm

Author : Godfried T. Toussaint
ISBN : 9781466512030
Genre : Mathematics
File Size : 50.92 MB
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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
Category: Mathematics

The Geometry Of Musical Rhythm

Author : Godfried T. Toussaint
ISBN : 9781351247757
Genre : Mathematics
File Size : 87.35 MB
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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.
Category: Mathematics

Thought And Play In Musical Rhythm

Author : Richard Wolf
ISBN : 9780190841485
Genre : Music
File Size : 61.92 MB
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Thought and Play in Musical Rhythm offers new understandings of musical rhythm through the analysis and comparison of diverse repertoires, performance practices, and theories as formulated and transmitted in speech or writing. Editors Richard K. Wolf, Stephen Blum, and Christopher Hasty address a productive tension in musical studies between universalistic and culturally relevant approaches to the study of rhythm. Reacting to commonplace ideas in (Western) music pedagogy, the essays explore a range of perspectives on rhythm: its status as an "element" of music that can be usefully abstracted from timbre, tone, and harmony; its connotations of regularity (or, by contrast, that rhythm is what we hear against the grain of background regularity); and its special embodiment in percussion parts. Unique among studies of musical rhythm, the collection directs close attention to ways performers and listeners conceptualize aspects of rhythm and questions many received categories for describing rhythm. By drawing the ear and the mind to tensions, distinctions, and aesthetic principles that might otherwise be overlooked, this focus on local concepts enables the listener to dispel assumptions about how music works "in general." Readers may walk away with a few surprises, become more aware of their assumptions, and/or think of new ways to shock their students out of complacency.
Category: Music

Discrete And Computational Geometry

Author : Jin Akiyama
ISBN : 9783540304678
Genre : Computers
File Size : 61.66 MB
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This volume consists of the refereed proceedings of the Japan Conference on Discrete and Computational Geometry (JCDCG 2004) held at Tokai University in Tokyo, Japan, October, 8-11, 2004, to honor Jan ́ os Pach on his 50th year. J ́ anos Pach has generously supported the e'orts to promote research in discrete and computational geometry among mathematicians in Asia for many years. The conference was attended by close to 100 participants from 20 countries. Since it was ?rst organized in 1997, the annual JCDCG has attracted a growing international participation. The earlier conferences were held in Tokyo, followed by conferences in Manila, Philippines, and Bandung, Indonesia. The proceedings of JCDCG 1998, 2000, 2002 and IJCCGGT 2003 were published by SpringeraspartoftheseriesLectureNotesinComputerScience(LNCS)volumes 1763, 2098, 2866 and 3330, respectively, while the proceedings of JCDCG 2001 were also published by Springer as a special issue of the journal Graphs and Combinatorics, Vol. 18, No. 4, 2002. The organizers of JCDCG 2004 gratefully acknowledge the sponsorship of Tokai University, the support of the conference secretariat and the partici- tion of the principal speakers: Ferran Hurtado, Hiro Ito, Alberto M ́ arquez, Ji? r ́ ? Matou? sek, Ja ́nos Pach, Jonathan Shewchuk, William Steiger, Endre Szemer ́ edi, G ́ eza T ́ oth, Godfried Toussaint and Jorge Urrutia.
Category: Computers

Mathematical And Computational Modeling

Author : Roderick Melnik
ISBN : 9781118853986
Genre : Mathematics
File Size : 83.81 MB
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Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-the-art achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts also features: Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, industrial, and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization. Roderick Melnik, PhD, is Professor in the Department of Mathematics at Wilfrid Laurier University, Canada, where he is also Tier I Canada Research Chair in Mathematical Modeling. He is internationally known for his research in computational and applied mathematics, numerical analysis, and mathematical modeling for scientific and engineering applications. Dr. Melnik is the recipient of many awards, including a number of prestigious fellowships in Italy, Denmark, England and Spain. He has published over 300 refereed research papers and has served on editorial boards of numerous international journals and book series. Currently, Dr. Melnik is Director of the MS2Discovery Interdisciplinary Research Institute in Waterloo, Canada.
Category: Mathematics

The Cambridge Companion To Rhythm

Author : Russell Hartenberger
ISBN : 9781108604956
Genre : Music
File Size : 86.47 MB
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One of the defining aspects of music is that it exists in time. From clapping to dancing, toe-tapping to head-nodding, the responses of musicians and listeners alike capture the immediacy and significance of the musical beat. This Companion explores the richness of musical time through a variety of perspectives, surveying influential writings on the topic, incorporating the perspectives of listeners, analysts, composers, and performers, and considering the subject across a range of genres and cultures. It includes chapters on music perception, visualizing rhythmic notation, composers' writings on rhythm, rhythm in jazz, rock, and hip-hop. Taking a global approach, chapters also explore rhythmic styles in the music of India, Africa, Bali, Latin America and the Caribbean, and Indigenous music of North and South America. Readers will gain an understanding of musicians' approaches to performing complex rhythms of contemporary music, and revealing insights into the likely future of rhythm in music.
Category: Music

Hearing In Time

Author : Justin London
ISBN : 9780190453978
Genre : Music
File Size : 67.11 MB
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Our sense that a waltz is "in three" or a blues song is "in four with a shuffle" comes from our sense of musical meter. Hearing in Time explores the metric aspect of our musical experience from a psychological point of view. Musical meter is subject to a number of fundamental perceptual and cognitive constraints. These constraints are the cornerstones of Hearing in Time's account of musical meter. Hearing in Time also takes into account the fact that listening to music, like many other rhythmic activities, is something that we do a lot. It also approaches meter in the context of music as it is actually performed, with nuances of timing and dynamics, rather than as a theoretical idealization. Hearing in Time's approach to meter is not based on any particular musical style or cultural practice, and it discusses musical examples from a wide range of musical styles and cultures--from Beethoven and Bach to Brubeck and Ghanaian (Ewe) drumming. In taking this broad approach a number of fundamental similarities between a variety of different metric phenomena--such as the difference between so-called simple versus complex or additive meters - become apparent. Requiring only a modest ability to read a musical score, Hearing in Time is written for musicians, musicologists, and music theorists, as well as psychologists, linguists and cognitive scientists who are interested in rhythm and meter.
Category: Music

Dynamic Korea And Rhythmic Form

Author : Katherine In-Young Lee
ISBN : 9780819577078
Genre : Music
File Size : 20.57 MB
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The South Korean percussion genre, samul nori, is a world phenomenon whose rhythmic form is the key to its popularity and mobility. Based on both ethnographic research and close formal analysis, author Katherine In-Young Lee focuses on the kinetic experience of samul nori, drawing out the concept of dynamism to show its historical, philosophical, and pedagogical dimensions. Breaking with traditional approaches to the study of world music that privilege political, economic, institutional, or ideological analytical frameworks, Lee argues that because rhythmic forms are experienced on a somatic level, they swiftly move beyond national boundaries and provide sites for cross-cultural interaction.
Category: Music

Africanness In Action

Author : Juan Diego Díaz
ISBN : 9780197549582
Genre : Music
File Size : 87.30 MB
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When many people think of African music, the first ideas that come to mind are often of rhythm, drums, and dancing. These perceptions are rooted in emblematic African and African-derived genres such as West African drumming, funk, salsa, or samba and, more importantly, essentialized notions about Africa which have been fueled over centuries of contact between the "West," Africa, and the African diaspora. These notions, of course, tend to reduce and often portray Africa and the diaspora as primitive, exotic, and monolithic. In Africanness in Action, author Juan Diego Díaz explores this dynamic through the perspectives of Black musicians in Bahia, Brazil, a site imagined by many as a diasporic epicenter of African survivals and purity. Black musicians from Bahia, Díaz argues, assert Afro-Brazilian identities, promote social change, and critique racial inequality by creatively engaging essentialized tropes about African music and culture. Instead of reproducing these notions, musicians demonstrate agency by strategically emphasizing or downplaying them.
Category: Music

Mathematics And Computation In Music

Author : Elaine Chew
ISBN : 9783642023941
Genre : Computers
File Size : 29.55 MB
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This book constitutes the refereed proceedings of the Second International Conference on Mathematics and Computation in Music, MCM 2009, held in New Haven, CT, USA, in June 2009. The 26 revised full papers presented were carefully reviewed and selected from 38 submissions. The MCM conference is the flagship conference of the Society for Mathematics and Computation in Music. The papers deal with topics within applied mathematics, computational models, mathematical modelling and various further aspects of the theory of music. This year’s conference is dedicated to the honor of John Clough whose research modeled the virtues of collaborative work across the disciplines.
Category: Computers

Gegliederte Zeit

Author : Marcus Aydintan
ISBN : 9783487422930
Genre : Music
File Size : 53.99 MB
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Inhalt: Kaiser: Von der Sequenz zur Kadenz. Zur Entstehungsgeschichte der Interpunktion von Sonatenmusik Jeßulat: Urchoräle Bahr: Das Vorspiel zu den Meistersingern, 3. Akt, und Bachs Fuga in g, BWV 861 Chernova: Die fünfte Klaviersonate op. 53 (1907) - das letzte >tonale Werk Skrjabins? Schreiber: Contemporary composers and the repertoire of the Viennese classics Habryka: Der Einfluss von Kanonmodellen auf Grundtonfortschreitungen Hardt: Vivaldi und das Bausteinprinzip Sprick: Überlegungen zur Anfangswendung von Bachs Suite für Violoncello solo, BWV 1011 Reichel: Dramaturgische und harmonisch kontrapunktische Zeitgestaltung in Mozarts Bühnenwerken Venegas: The Bruckner Challenge: The Third Symphony's Slow Movement(s) Komatovic: Exemplarische Untersuchungen zu spättonalen Phänomenen im Werk César Francks Reutter: Alla napolitana oder Abschiedsgestus. Ein Satzmodell bei Strawinsky? Holm: Die Zeitgestaltung in der Interpretationskunst Wilhelm Furtwänglers ?uvela: Der Goldene Schnitt
Category: Music

New Directions In Music And Human Computer Interaction

Author : Simon Holland
ISBN : 9783319920696
Genre : Computers
File Size : 25.75 MB
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Computing is transforming how we interact with music. New theories and new technologies have emerged that present fresh challenges and novel perspectives for researchers and practitioners in music and human-computer interaction (HCI). In this collection, the interdisciplinary field of music interaction is considered from multiple viewpoints: designers, interaction researchers, performers, composers, audiences, teachers and learners, dancers and gamers. The book comprises both original research in music interaction and reflections from leading researchers and practitioners in the field. It explores a breadth of HCI perspectives and methodologies: from universal approaches to situated research within particular cultural and aesthetic contexts. Likewise, it is musically diverse, from experimental to popular, classical to folk, including tango, laptop orchestras, composition and free improvisation.
Category: Computers

Encyclopedia Of Data Warehousing And Mining Second Edition

Author : Wang, John
ISBN : 9781605660110
Genre : Computers
File Size : 61.52 MB
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There are more than one billion documents on the Web, with the count continually rising at a pace of over one million new documents per day. As information increases, the motivation and interest in data warehousing and mining research and practice remains high in organizational interest. The Encyclopedia of Data Warehousing and Mining, Second Edition, offers thorough exposure to the issues of importance in the rapidly changing field of data warehousing and mining. This essential reference source informs decision makers, problem solvers, and data mining specialists in business, academia, government, and other settings with over 300 entries on theories, methodologies, functionalities, and applications.
Category: Computers

The Evolution Of Music

Author : Leonid Perlovsky
ISBN : 9782889662869
Genre : Science
File Size : 45.66 MB
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Category: Science

Emergent Computation

Author : Andrew Adamatzky
ISBN : 9783319463766
Genre : Computers
File Size : 44.21 MB
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This book is dedicated to Professor Selim G. Akl to honour his groundbreaking research achievements in computer science over four decades. The book is an intellectually stimulating excursion into emergent computing paradigms, architectures and implementations. World top experts in computer science, engineering and mathematics overview exciting and intriguing topics of musical rhythms generation algorithms, analyse the computational power of random walks, dispelling a myth of computational universality, computability and complexity at the microscopic level of synchronous computation, descriptional complexity of error detection, quantum cryptography, context-free parallel communicating grammar systems, fault tolerance of hypercubes, finite automata theory of bulk-synchronous parallel computing, dealing with silent data corruptions in high-performance computing, parallel sorting on graphics processing units, mining for functional dependencies in relational databases, cellular automata optimisation of wireless sensors networks, connectivity preserving network transformers, constrained resource networks, vague computing, parallel evolutionary optimisation, emergent behaviour in multi-agent systems, vehicular clouds, epigenetic drug discovery, dimensionality reduction for intrusion detection systems, physical maze solvers, computer chess, parallel algorithms to string alignment, detection of community structure. The book is a unique combination of vibrant essays which inspires scientists and engineers to exploit natural phenomena in designs of computing architectures of the future.
Category: Computers

Mathematics And Computation In Music

Author : Mariana Montiel
ISBN : 9783030213923
Genre : Computers
File Size : 42.74 MB
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This book constitutes the thoroughly refereed proceedings of the 7th International Conference on Mathematics and Computation in Music, MCM 2019, held in Madrid, Spain, in June 2019. The 22 full papers and 10 short papers presented were carefully reviewed and selected from 48 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in topical sections on algebraic and other abstract mathematical approaches to understanding musical objects; remanaging Riemann: mathematical music theory as “experimental philosophy”?; octave division; computer-based approaches to composition and score structuring; models for music cognition and beat tracking; pedagogy of mathematical music theory. The chapter “Distant Neighbors and Interscalar Contiguities” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Category: Computers

The African Imagination In Music

Author : Victor Kofi Agawu
ISBN : 9780190263201
Genre : Music
File Size : 75.38 MB
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The world of Sub-Saharan African music is immensely rich and diverse, containing a plethora of repertoires and traditions. In The African Imagination in Music, renowned music scholar Kofi Agawu offers an introduction to the major dimensions of this music and the values upon which it rests. Agawu leads his readers through an exploration of the traditions, structural elements, instruments, and performative techniques that characterize the music. In sections that focus upon rhythm, melody, form, and harmony, the essential parts of African music come into relief. While traditional music, the backbone of Africa's musical thinking, receives the most attention, Agawu also supplies insights into popular and art music in order to demonstrate the breadth of the African musical imagination. Close readings of a variety of songs, including an Ewe dirge, an Aka children's song, and Fela's 'Suffering and Smiling' supplement the broader discussion. The African Imagination in Music foregrounds a hitherto under-reported legacy of recordings and insists on the necessity of experiencing music as sound in order to appreciate and understand it fully. Accordingly, a Companion Website features important examples of the music discussed in detail in the book. Accessibly and engagingly written for a general audience, The African Imagination in Music is poised to renew interest in Black African music and to engender discussion of its creative underpinnings by Africanists, ethnomusicologists, music theorists and musicologists.
Category: Music

Rethinking Reich

Author : Sumanth Gopinath
ISBN : 9780190945817
Genre : Music
File Size : 81.85 MB
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Described by music critic Alex Ross as "the most original musical thinker of our time" and having received innumerable accolades in a career spanning over fifty years, composer Steve Reich is considered by many to be America's greatest contemporary composer. His music, however, remains largely underresearched. Rethinking Reich redresses this imbalance, providing a space for prominent and emerging scholars to reassess the composer's contribution to music in the twentieth century. Featuring fourteen tightly focused and multifarious essays on various aspects of Reich's work--ranging from analytical, aesthetic, and archival studies to sociocultural, philosophical, and ethnomusicological reflections--this edited volume reveals new insights, including those enabled by access to the growing Steve Reich Collection at the Paul Sacher Foundation archive, the premier institution for primary research on twentieth-century and contemporary classical music. This volume takes on the timely task of challenging the hegemony of Reich's own articulate and convincing discourses on his music, as found in his Writings on Music (OUP, 2002), and breaks new ground in the broader field of minimalism studies.
Category: Music

From Music To Mathematics

Author : Gareth E. Roberts
ISBN : 9781421419190
Genre : Mathematics
File Size : 86.88 MB
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From the first chapter through the last, readers eager to learn more about the connections between mathematics and music will find a comprehensive textbook designed to satisfy their natural curiosity.
Category: Mathematics

Algorithms

Author : Panos Louridas
ISBN : 9780262539029
Genre : Education
File Size : 44.60 MB
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"This book is an introduction to algorithms targeting an audience with little to no computer science background. In this book, algorithms from a wide area are presented: from music to searching and sorting, to deep learning, to graphs. The author shows how algorithms are used in practice. A unique feature of the book is that it focuses on showing how algorithms really work; not just what algorithms can do. There are many books discussing that and delving in technological applications and their implications. The book aims to show not just what algorithms can do, but how they do it. Louridas covers a wide range of algorithms. He does not shy away from classic algorithms such as searching and sorting, as they are the workhorses of most applications; at the same time, he also covers a wide expanse, such as algorithms in music, non-traditional searching (like the secretary problem), graphs, and the PageRank algorithm. He introduces deep learning, showing how it works in practice, and gives an overview of the limits of computability. He finishes up the text with an eclectic discussion of implications. Most books on algorithms are either too technical, or not technical at all - showing what the algorithms do, without showing how. This book aims at striking a balance between the two methods. Algorithms should be, and can be explained, in simple terms. To repeat, an algorithm should be explained so that a human can execute it with a pen and paper"--
Category: Education