The Math Behind the Music with CD-ROM

The Math Behind the Music with CD-ROM

Author: Leon Harkleroad

Publisher: Cambridge University Press

Published: 2006-08-07

Total Pages: 158

ISBN-13: 9780521009355

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Mathematics has been used for centuries to describe, analyze, and create music. In this book, Leon Harkleroad explores the math related aspects of music from its acoustical bases to compositional techniques to music criticism, touching on - overtones, scales, and tuning systems - the musical dice game attributed to Mozart and Haydn - the several-hundred-year-old style of bell-playing known as ringing the changes - the twelve-tone school of composition that strongly influenced music throughout the 20th century and many other topics involving mathematical ideas from probability theory to Fourier series to group theory. He also relates some cautionary tales of misguided attempts to mix music and mathematics. Both the mathematical and the musical concepts are described in an elementary way, making the book accessible to general readers as well as to mathematicians and musicians of all levels. The book is accompanied by an audio CD of musical examples.


Book Synopsis The Math Behind the Music with CD-ROM by : Leon Harkleroad

Download or read book The Math Behind the Music with CD-ROM written by Leon Harkleroad and published by Cambridge University Press. This book was released on 2006-08-07 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has been used for centuries to describe, analyze, and create music. In this book, Leon Harkleroad explores the math related aspects of music from its acoustical bases to compositional techniques to music criticism, touching on - overtones, scales, and tuning systems - the musical dice game attributed to Mozart and Haydn - the several-hundred-year-old style of bell-playing known as ringing the changes - the twelve-tone school of composition that strongly influenced music throughout the 20th century and many other topics involving mathematical ideas from probability theory to Fourier series to group theory. He also relates some cautionary tales of misguided attempts to mix music and mathematics. Both the mathematical and the musical concepts are described in an elementary way, making the book accessible to general readers as well as to mathematicians and musicians of all levels. The book is accompanied by an audio CD of musical examples.


The Math Behind the Music

The Math Behind the Music

Author: Leon Harkleroad

Publisher: Cambridge University Press

Published: 2006-08-14

Total Pages: 7

ISBN-13: 0521810957

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Accompanying CD-ROM includes musical selections.


Book Synopsis The Math Behind the Music by : Leon Harkleroad

Download or read book The Math Behind the Music written by Leon Harkleroad and published by Cambridge University Press. This book was released on 2006-08-14 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying CD-ROM includes musical selections.


ENC Focus

ENC Focus

Author:

Publisher:

Published: 2000

Total Pages: 84

ISBN-13:

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Book Synopsis ENC Focus by :

Download or read book ENC Focus written by and published by . This book was released on 2000 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:


The Topos of Music

The Topos of Music

Author: Guerino Mazzola

Publisher: Springer Science & Business Media

Published: 2002-09-23

Total Pages: 1372

ISBN-13: 9783764357313

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The Topos of Music is the upgraded and vastly deepened English extension of the seminal German Geometrie der Töne. It reflects the dramatic progress of mathematical music theory and its operationalization by information technology since the publication of Geometrie der Töne in 1990. The conceptual basis has been vastly generalized to topos-theoretic foundations, including a corresponding thoroughly geometric musical logic. The theoretical models and results now include topologies for rhythm, melody, and harmony, as well as a classification theory of musical objects that comprises the topos-theoretic concept framework. Classification also implies techniques of algebraic moduli theory. The classical models of modulation and counterpoint have been extended to exotic scales and counterpoint interval dichotomies. The probably most exciting new field of research deals with musical performance and its implementation on advanced object-oriented software environments. This subject not only uses extensively the existing mathematical music theory, it also opens the language to differential equations and tools of differential geometry, such as Lie derivatives. Mathematical performance theory is the key to inverse performance theory, an advanced new research field which deals with the calculation of varieties of parameters which give rise to a determined performance. This field uses techniques of algebraic geometry and statistics, approaches which have already produced significant results in the understanding of highest-ranked human performances. The book's formal language and models are currently being used by leading researchers in Europe and Northern America and have become a foundation of music software design. This is also testified by the book's nineteen collaborators and the included CD-ROM containing software and music examples.


Book Synopsis The Topos of Music by : Guerino Mazzola

Download or read book The Topos of Music written by Guerino Mazzola and published by Springer Science & Business Media. This book was released on 2002-09-23 with total page 1372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Topos of Music is the upgraded and vastly deepened English extension of the seminal German Geometrie der Töne. It reflects the dramatic progress of mathematical music theory and its operationalization by information technology since the publication of Geometrie der Töne in 1990. The conceptual basis has been vastly generalized to topos-theoretic foundations, including a corresponding thoroughly geometric musical logic. The theoretical models and results now include topologies for rhythm, melody, and harmony, as well as a classification theory of musical objects that comprises the topos-theoretic concept framework. Classification also implies techniques of algebraic moduli theory. The classical models of modulation and counterpoint have been extended to exotic scales and counterpoint interval dichotomies. The probably most exciting new field of research deals with musical performance and its implementation on advanced object-oriented software environments. This subject not only uses extensively the existing mathematical music theory, it also opens the language to differential equations and tools of differential geometry, such as Lie derivatives. Mathematical performance theory is the key to inverse performance theory, an advanced new research field which deals with the calculation of varieties of parameters which give rise to a determined performance. This field uses techniques of algebraic geometry and statistics, approaches which have already produced significant results in the understanding of highest-ranked human performances. The book's formal language and models are currently being used by leading researchers in Europe and Northern America and have become a foundation of music software design. This is also testified by the book's nineteen collaborators and the included CD-ROM containing software and music examples.


Mathematics and Science Across the Curriculum

Mathematics and Science Across the Curriculum

Author:

Publisher:

Published: 2002

Total Pages: 100

ISBN-13:

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Download or read book Mathematics and Science Across the Curriculum written by and published by . This book was released on 2002 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Official Gazette of the United States Patent and Trademark Office

Official Gazette of the United States Patent and Trademark Office

Author:

Publisher:

Published: 2004

Total Pages: 1368

ISBN-13:

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Download or read book Official Gazette of the United States Patent and Trademark Office written by and published by . This book was released on 2004 with total page 1368 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Ohio SchoolNet Software Review Project

Ohio SchoolNet Software Review Project

Author:

Publisher:

Published: 1998

Total Pages: 106

ISBN-13:

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Book Synopsis Ohio SchoolNet Software Review Project by :

Download or read book Ohio SchoolNet Software Review Project written by and published by . This book was released on 1998 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:


The Mathematical Theory of Tone Systems

The Mathematical Theory of Tone Systems

Author: Jan Haluska

Publisher: CRC Press

Published: 2003-12-19

Total Pages: 380

ISBN-13: 1482276380

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The Mathematical Theory of Tone Systems patterns a unified theory defining the tone system in functional terms based on the principles and forms of uncertainty theory. This title uses geometrical nets and other measures to study all classes of used and theoretical tone systems, from Pythagorean tuning to superparticular pentatonics. Hundreds of exa


Book Synopsis The Mathematical Theory of Tone Systems by : Jan Haluska

Download or read book The Mathematical Theory of Tone Systems written by Jan Haluska and published by CRC Press. This book was released on 2003-12-19 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Theory of Tone Systems patterns a unified theory defining the tone system in functional terms based on the principles and forms of uncertainty theory. This title uses geometrical nets and other measures to study all classes of used and theoretical tone systems, from Pythagorean tuning to superparticular pentatonics. Hundreds of exa


Music, Education, and Multiculturalism

Music, Education, and Multiculturalism

Author: Terese M. Volk

Publisher: Oxford University Press

Published: 2004-10-14

Total Pages: 283

ISBN-13: 0195179757

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Beginning with a discussion of the philosophical underpinnings of multiculturalism in education and in music education, this book traces the growth and development of multicultural music education.


Book Synopsis Music, Education, and Multiculturalism by : Terese M. Volk

Download or read book Music, Education, and Multiculturalism written by Terese M. Volk and published by Oxford University Press. This book was released on 2004-10-14 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a discussion of the philosophical underpinnings of multiculturalism in education and in music education, this book traces the growth and development of multicultural music education.


Researching Secular Music and Dance in the Early United States

Researching Secular Music and Dance in the Early United States

Author: Laura Lohman

Publisher: Routledge

Published: 2021-05-17

Total Pages: 170

ISBN-13: 1000388956

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This book provides a practical introduction to researching and performing early Anglo-American secular music and dance with attention to their place in society. Supporting growing interest among scholars and performers spanning numerous disciplines, this book contributes quality new scholarship to spur further research on this overshadowed period of American music and dance. Organized in three parts, the chapters offer methodological and interpretative guidance and model varied approaches to contemporary scholarship. The first part introduces important bibliographic tools and models their use in focused examinations of individual objects of material musical culture. The second part illustrates methods of situating dance and its music in early American society as relevant to scholars working in multiple disciplines. The third part examines contemporary performance of early American music and dance from three distinct perspectives ranging from ethnomusicological fieldwork and phenomenology to the theatrical stage. Dedicated to scholar Kate Van Winkle Keller, this volume builds on her legacy of foundational contributions to the study of early American secular music, dance, and society. It provides an essential resource for all those researching and performing music and dance from the revolutionary era through the early nineteenth century.


Book Synopsis Researching Secular Music and Dance in the Early United States by : Laura Lohman

Download or read book Researching Secular Music and Dance in the Early United States written by Laura Lohman and published by Routledge. This book was released on 2021-05-17 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a practical introduction to researching and performing early Anglo-American secular music and dance with attention to their place in society. Supporting growing interest among scholars and performers spanning numerous disciplines, this book contributes quality new scholarship to spur further research on this overshadowed period of American music and dance. Organized in three parts, the chapters offer methodological and interpretative guidance and model varied approaches to contemporary scholarship. The first part introduces important bibliographic tools and models their use in focused examinations of individual objects of material musical culture. The second part illustrates methods of situating dance and its music in early American society as relevant to scholars working in multiple disciplines. The third part examines contemporary performance of early American music and dance from three distinct perspectives ranging from ethnomusicological fieldwork and phenomenology to the theatrical stage. Dedicated to scholar Kate Van Winkle Keller, this volume builds on her legacy of foundational contributions to the study of early American secular music, dance, and society. It provides an essential resource for all those researching and performing music and dance from the revolutionary era through the early nineteenth century.