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Author: Gareth Loy
Publisher: MIT Press
ISBN: 0262292769
Category : Music
Languages : en
Pages : 579
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Book Description
The second volume of a commonsense, self-contained introduction to the mathematics and physics of music, focusing on the digital and computational domain; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science. Volume 2 of Musimathics continues the story of music engineering begun in Volume 1, focusing on the digital and computational domain. Loy goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals. Chapters cover the Fourier transform, convolution, filtering, resonance, the wave equation, acoustical systems, sound synthesis, the short-time Fourier transform, and the wavelet transform. These subjects provide the theoretical underpinnings of today's music technology. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.
Author: Gareth Loy
Publisher: MIT Press
ISBN: 0262292769
Category : Music
Languages : en
Pages : 579
Get Book Here
Book Description
The second volume of a commonsense, self-contained introduction to the mathematics and physics of music, focusing on the digital and computational domain; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science. Volume 2 of Musimathics continues the story of music engineering begun in Volume 1, focusing on the digital and computational domain. Loy goes deeper into the mathematics of music and sound, beginning with digital audio, sampling, and binary numbers, as well as complex numbers and how they simplify representation of musical signals. Chapters cover the Fourier transform, convolution, filtering, resonance, the wave equation, acoustical systems, sound synthesis, the short-time Fourier transform, and the wavelet transform. These subjects provide the theoretical underpinnings of today's music technology. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.
Author: Gareth Loy
Publisher: MIT Press
ISBN: 0262516551
Category : Music
Languages : en
Pages : 501
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Book Description
A commonsense, self-contained introduction to the mathematics and physics of music; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science. “Mathematics can be as effortless as humming a tune, if you know the tune,” writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music—a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science. In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself “a composer seduced into mathematics,” Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.
Author: Gareth Loy
Publisher: MIT Press
ISBN: 0262292750
Category : Music
Languages : en
Pages : 501
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Book Description
A commonsense, self-contained introduction to the mathematics and physics of music; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science. “Mathematics can be as effortless as humming a tune, if you know the tune,” writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music—a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science. In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself “a composer seduced into mathematics,” Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.
Author: Dmitri Tymoczko
Publisher: OUP USA
ISBN: 0195336674
Category : Mathematics
Languages : en
Pages : 469
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Book Description
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.
Author: Eli Maor
Publisher: Princeton University Press
ISBN: 0691202966
Category : Mathematics
Languages : en
Pages : 176
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Book Description
How music has influenced mathematics, physics, and astronomy from ancient Greece to the twentieth century.
Author: Geoffrey Poole
Publisher: Bloomsbury Publishing
ISBN: 1350308005
Category : Language Arts & Disciplines
Languages : en
Pages : 655
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Book Description
This is a highly recommendable book. It elegantly introduces generative grammar as an empirical science. Written in a clear and friendly tone, it is extremely readable and makes complicated linguistic theory accessible to students' - Ken Ramshøj Christensen, Aarhus University, Denmark This clear and practical introduction to Syntactic Theory introduces students to theory building, hypothesis testing and evaluation through the framework of Chomsky's Government-Binding Theory. Initial chapters guide the student through essential topics such as X'-Theory, Transformations and elementary Binding Theory, progressing to cover more advanced issues such as Reconstruction, the light verb vP and control as movement. Presenting the core linguistic theory and problem solving skills that are essential to the subject, this updated and revised second edition features: • New material on the Minimalist Program and Government-Binding Theory • Expanded chapters on Phrase Structure and Functional Categories • A wealth of new tree diagrams as well as revised end-of-chapter exercises The liberal use of in-text exercises engage the reader at every stage of theory-development, while an 'Open Issue' at the end of each chapter encourages active participation and further exploration of the chapter's topic. With an engaging, informal style, Syntactic Theory makes the most difficult topics accessible to a wide range of students. Clear, practical and accessible, Syntactic Theory introduces students to theory building and evaluation through Government-Binding Theory. Now fully updated, this second edition features new chapters on the Minimalist Program, expanded chapters on Phrase Structure and Functional Categories and extensively revised end-of-chapter exercises.
Author: Fred Landman
Publisher: Springer Science & Business Media
ISBN: 9401132127
Category : Language Arts & Disciplines
Languages : en
Pages : 381
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Book Description
Formalization plays an important role in semantics. Doing semantics and following the literature requires considerable technical sophistica tion and acquaintance with quite advanced mathematical techniques and structures. But semantics isn't mathematics. These techniques and structures are tools that help us build semantic theories. Our real aim is to understand semantic phenomena and we need the technique to make our understanding of these phenomena precise. The problems in semantics are most often too hard and slippery, to completely trust our informal understanding of them. This should not be taken as an attack on informal reasoning in semantics. On the contrary, in my view, very often the essential insight in a diagnosis of what is going on in a certain semantic phenomenon takes place at the informal level. It is very easy, however, to be misled into thinking that a certain informal insight provides a satisfying analysis of a certain problem; it will often turn out that there is a fundamental unclarity about what the informal insight actually is. Formalization helps to sharpen those insights and put them to the test.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Author: Alex McLean
Publisher: Oxford University Press
ISBN: 0190227001
Category : Music
Languages : en
Pages : 713
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Book Description
With the ongoing development of algorithmic composition programs and communities of practice expanding, algorithmic music faces a turning point. Joining dozens of emerging and established scholars alongside leading practitioners in the field, chapters in this Handbook both describe the state of algorithmic composition and also set the agenda for critical research on and analysis of algorithmic music. Organized into four sections, chapters explore the music's history, utility, community, politics, and potential for mass consumption. Contributors address such issues as the role of algorithms as co-performers, live coding practices, and discussions of the algorithmic culture as it currently exists and what it can potentially contribute society, education, and ecommerce. Chapters engage particularly with post-human perspectives - what new musics are now being found through algorithmic means which humans could not otherwise have made - and, in reciprocation, how algorithmic music is being assimilated back into human culture and what meanings it subsequently takes. Blending technical, artistic, cultural, and scientific viewpoints, this Handbook positions algorithmic music making as an essentially human activity.
Author: Kenneth Steiglitz
Publisher: Prentice Hall
ISBN:
Category : Computer music
Languages : en
Pages : 330
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Book Description
This new book by Ken Steigliz offers an informal and easy-to-understand introduction to digital signal processing, emphasizing digital audio and applications to computer music. A DSP Primer covers important topics such as phasors and tuning forks; the wave equation; sampling and quantizing; feedforward and feedback filters; comb and string filters; periodic sounds; transform methods; and filter design. Steiglitz uses an intuitive and qualitative approach to develop the mathematics critical to understanding DSP. A DSP Primer is written for a broad audience including: Students of DSP in Engineering and Computer Science courses. Composers of computer music and those who work with digital sound. WWW and Internet developers who work with multimedia. General readers interested in science that want an introduction to DSP. Features: Offers a simple and uncluttered step-by-step approach to DSP for first-time users, especially beginners in computer music. Designed to provide a working knowledge and understanding of frequency domain methods, including FFT and digital filtering. Contains thought-provoking questions and suggested experiments that help the reader to understand and apply DSP theory and techniques.
