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The Arithmetic of Listening

Author: Kyle Gann

Publisher: University of Illinois Press

Published: 2019-09-16

Total Pages: 344

ISBN-13: 0252051424

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"Tuning is the secret lens through which the history of music falls into focus," says Kyle Gann. Yet in Western circles, no other musical issue is so ignored, so taken for granted, so shoved into the corners of musical discourse. A classroom essential and an invaluable reference, The Arithmetic of Listening offers beginners the grounding in music theory necessary to find their own way into microtonality and the places it may take them. Moving from ancient Greece to the present, Kyle Gann delves into the infinite tunings available to any musician who feels straitjacketed by obedience to standardized Western European tuning. He introduces the concept of the harmonic series and demonstrates its relationship to equal-tempered and well-tempered tuning. He also explores recent experimental tuning models that exploit smaller intervals between pitches to create new sounds and harmonies. Systematic and accessible, The Arithmetic of Listening provides a much-needed primer for the wide range of tuning systems that have informed Western music. Audio examples demonstrating the musical ideas in The Arithmetic of Listening can be found at: https://www.kylegann.com/Arithmetic.html

Book Synopsis The Arithmetic of Listening by : Kyle Gann

Download or read book The Arithmetic of Listening written by Kyle Gann and published by University of Illinois Press. This book was released on 2019-09-16 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Tuning is the secret lens through which the history of music falls into focus," says Kyle Gann. Yet in Western circles, no other musical issue is so ignored, so taken for granted, so shoved into the corners of musical discourse. A classroom essential and an invaluable reference, The Arithmetic of Listening offers beginners the grounding in music theory necessary to find their own way into microtonality and the places it may take them. Moving from ancient Greece to the present, Kyle Gann delves into the infinite tunings available to any musician who feels straitjacketed by obedience to standardized Western European tuning. He introduces the concept of the harmonic series and demonstrates its relationship to equal-tempered and well-tempered tuning. He also explores recent experimental tuning models that exploit smaller intervals between pitches to create new sounds and harmonies. Systematic and accessible, The Arithmetic of Listening provides a much-needed primer for the wide range of tuning systems that have informed Western music. Audio examples demonstrating the musical ideas in The Arithmetic of Listening can be found at: https://www.kylegann.com/Arithmetic.html

Listen, Buddy

Author: Helen Lester

Publisher: Houghton Mifflin Harcourt

Published: 2013

Total Pages: 36

ISBN-13: 0544003225

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A lop-eared rabbit named Buddy finds himself in trouble with the Scruffy Varmint because he never listens.

Book Synopsis Listen, Buddy by : Helen Lester

Download or read book Listen, Buddy written by Helen Lester and published by Houghton Mifflin Harcourt. This book was released on 2013 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lop-eared rabbit named Buddy finds himself in trouble with the Scruffy Varmint because he never listens.

Tuning and Temperament

Author: J. Murray Barbour

Publisher: Courier Corporation

Published: 2013-07-04

Total Pages: 268

ISBN-13: 0486317358

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This classic chronicle of the longstanding challenges of tuning and temperament devotes a chapter to each principal theory, features a glossary and numerous tables, and requires only minimal background in music theory.

Book Synopsis Tuning and Temperament by : J. Murray Barbour

Download or read book Tuning and Temperament written by J. Murray Barbour and published by Courier Corporation. This book was released on 2013-07-04 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic chronicle of the longstanding challenges of tuning and temperament devotes a chapter to each principal theory, features a glossary and numerous tables, and requires only minimal background in music theory.

Connecting Arithmetic to Algebra

Author: Susan Jo Russell

Publisher: Heinemann Educational Books

Published: 2011

Total Pages: 0

ISBN-13: 9780325041919

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"To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.

Book Synopsis Connecting Arithmetic to Algebra by : Susan Jo Russell

Download or read book Connecting Arithmetic to Algebra written by Susan Jo Russell and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.

How Equal Temperament Ruined Harmony (and Why You Should Care)

Author: Ross W. Duffin

Publisher: W. W. Norton & Company

Published: 2008-10-17

Total Pages: 197

ISBN-13: 0393075648

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"A fascinating and genuinely accessible guide....Educating, enjoyable, and delightfully unscary."—Classical Music What if Bach and Mozart heard richer, more dramatic chords than we hear in music today? What sonorities and moods have we lost in playing music in "equal temperament"—the equal division of the octave into twelve notes that has become our standard tuning method? Thanks to How Equal Temperament Ruined Harmony, "we may soon be able to hear for ourselves what Beethoven really meant when he called B minor 'black'" (Wall Street Journal).In this "comprehensive plea for more variety in tuning methods" (Kirkus Reviews), Ross W. Duffin presents "a serious and well-argued case" (Goldberg Magazine) that "should make any contemporary musician think differently about tuning" (Saturday Guardian). Some images in the ebook are not displayed owing to permissions issues.

Book Synopsis How Equal Temperament Ruined Harmony (and Why You Should Care) by : Ross W. Duffin

Download or read book How Equal Temperament Ruined Harmony (and Why You Should Care) written by Ross W. Duffin and published by W. W. Norton & Company. This book was released on 2008-10-17 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A fascinating and genuinely accessible guide....Educating, enjoyable, and delightfully unscary."—Classical Music What if Bach and Mozart heard richer, more dramatic chords than we hear in music today? What sonorities and moods have we lost in playing music in "equal temperament"—the equal division of the octave into twelve notes that has become our standard tuning method? Thanks to How Equal Temperament Ruined Harmony, "we may soon be able to hear for ourselves what Beethoven really meant when he called B minor 'black'" (Wall Street Journal).In this "comprehensive plea for more variety in tuning methods" (Kirkus Reviews), Ross W. Duffin presents "a serious and well-argued case" (Goldberg Magazine) that "should make any contemporary musician think differently about tuning" (Saturday Guardian). Some images in the ebook are not displayed owing to permissions issues.

Tuning, Timbre, Spectrum, Scale

Author: William A. Sethares

Publisher: Springer Science & Business Media

Published: 2013-06-05

Total Pages: 346

ISBN-13: 1447141776

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Tuning, Timbre, Spectrum, Scale focuses on perceptions of consonance and dissonance, and how these are dependent on timbre. This also relates to musical scale: certain timbres sound more consonant in some scales than others. Sensory consonance and the ability to measure it have important implications for the design of audio devices and for musical theory and analysis. Applications include methods of adapting sounds for arbitrary scales, ways to specify scales for nonharmonic sounds, and techniques of sound manipulation based on maximizing (or minimizing) consonance. Special consideration is given here to a new method of adaptive tuning that can automatically adjust the tuning of a piece based its timbral character so as to minimize dissonance. Audio examples illustrating the ideas presented are provided on an accompanying CD. This unique analysis of sound and scale will be of interest to physicists and engineers working in acoustics, as well as to musicians and psychologists.

Book Synopsis Tuning, Timbre, Spectrum, Scale by : William A. Sethares

Download or read book Tuning, Timbre, Spectrum, Scale written by William A. Sethares and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tuning, Timbre, Spectrum, Scale focuses on perceptions of consonance and dissonance, and how these are dependent on timbre. This also relates to musical scale: certain timbres sound more consonant in some scales than others. Sensory consonance and the ability to measure it have important implications for the design of audio devices and for musical theory and analysis. Applications include methods of adapting sounds for arbitrary scales, ways to specify scales for nonharmonic sounds, and techniques of sound manipulation based on maximizing (or minimizing) consonance. Special consideration is given here to a new method of adaptive tuning that can automatically adjust the tuning of a piece based its timbral character so as to minimize dissonance. Audio examples illustrating the ideas presented are provided on an accompanying CD. This unique analysis of sound and scale will be of interest to physicists and engineers working in acoustics, as well as to musicians and psychologists.

Charles Ives's Concord

Author: Kyle Gann

Publisher: University of Illinois Press

Published: 2017-05-16

Total Pages: 488

ISBN-13: 0252099362

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In 1921, insurance executive Charles Ives sent out copies of a piano sonata to two hundred strangers. Laden with dissonant chords, complex rhythm, and a seemingly chaotic structure, the so-called Concord Sonata confounded the recipients, as did the accompanying book, Essays before a Sonata . Kyle Gann merges exhaustive research with his own experience as a composer to reveal the Concord Sonata and the essays in full. Diffracting the twinned works into their essential aspects, Gann lays out the historical context that produced Ives's masterpiece and illuminates the arguments Ives himself explored in the Essays . Gann also provides a movement-by-movement analysis of the work's harmonic structure and compositional technique; connects the sonata to Ives works that share parts of its material; and compares the 1921 version of the Concord with its 1947 revision to reveal important aspects of Ives's creative process. A tour de force of critical, theoretical, and historical thought, Charles Ives's Concord provides nothing less than the first comprehensive consideration of a work at the heart of twentieth century American music.

Book Synopsis Charles Ives's Concord by : Kyle Gann

Download or read book Charles Ives's Concord written by Kyle Gann and published by University of Illinois Press. This book was released on 2017-05-16 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1921, insurance executive Charles Ives sent out copies of a piano sonata to two hundred strangers. Laden with dissonant chords, complex rhythm, and a seemingly chaotic structure, the so-called Concord Sonata confounded the recipients, as did the accompanying book, Essays before a Sonata . Kyle Gann merges exhaustive research with his own experience as a composer to reveal the Concord Sonata and the essays in full. Diffracting the twinned works into their essential aspects, Gann lays out the historical context that produced Ives's masterpiece and illuminates the arguments Ives himself explored in the Essays . Gann also provides a movement-by-movement analysis of the work's harmonic structure and compositional technique; connects the sonata to Ives works that share parts of its material; and compares the 1921 version of the Concord with its 1947 revision to reveal important aspects of Ives's creative process. A tour de force of critical, theoretical, and historical thought, Charles Ives's Concord provides nothing less than the first comprehensive consideration of a work at the heart of twentieth century American music.

The Devil's Arithmetic

Author: Jane Yolen

Publisher: Penguin

Published: 1990-10-01

Total Pages: 176

ISBN-13: 1101664304

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"A triumphantly moving book." —Kirkus Reviews, starred review Hannah dreads going to her family's Passover Seder—she's tired of hearing her relatives talk about the past. But when she opens the front door to symbolically welcome the prophet Elijah, she's transported to a Polish village in the year 1942. Why is she there, and who is this "Chaya" that everyone seems to think she is? Just as she begins to unravel the mystery, Nazi soldiers come to take everyone in the village away. And only Hannah knows the unspeakable horrors that await. A critically acclaimed novel from multi-award-winning author Jane Yolen. "[Yolen] adds much to understanding the effects of the Holocaust, which will reverberate throughout history, today and tomorrow." —SLJ, starred review "Readers will come away with a sense of tragic history that both disturbs and compels." —Booklist Winner of the National Jewish Book Award An American Bookseller "Pick of the Lists"

Book Synopsis The Devil's Arithmetic by : Jane Yolen

Download or read book The Devil's Arithmetic written by Jane Yolen and published by Penguin. This book was released on 1990-10-01 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A triumphantly moving book." —Kirkus Reviews, starred review Hannah dreads going to her family's Passover Seder—she's tired of hearing her relatives talk about the past. But when she opens the front door to symbolically welcome the prophet Elijah, she's transported to a Polish village in the year 1942. Why is she there, and who is this "Chaya" that everyone seems to think she is? Just as she begins to unravel the mystery, Nazi soldiers come to take everyone in the village away. And only Hannah knows the unspeakable horrors that await. A critically acclaimed novel from multi-award-winning author Jane Yolen. "[Yolen] adds much to understanding the effects of the Holocaust, which will reverberate throughout history, today and tomorrow." —SLJ, starred review "Readers will come away with a sense of tragic history that both disturbs and compels." —Booklist Winner of the National Jewish Book Award An American Bookseller "Pick of the Lists"

Microtonality and the Tuning Systems of Erv Wilson

Author: Terumi Narushima

Publisher: Routledge

Published: 2017-11-22

Total Pages: 257

ISBN-13: 1317513428

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This book explores the emerging area of microtonality through an examination of the tuning theories of Erv Wilson. It is the first publication to offer a broad discussion of this influential theorist whose innovations have far-reaching ramifications for microtonal tuning systems. This study addresses the breadth and complexity of Wilson’s work by focusing on his microtonal keyboard designs as a means to investigate his tuning concepts and their practical applications. Narushima examines materials ranging from historical and experimental tunings to instrument design, as well as musical applications of mathematical theories and multidimensional geometry. The volume provides an analysis of some of Wilson’s most significant theoretical ideas, including the Scale Tree, Moments of Symmetry, Constant Structures, and Combination-Product Sets. These theories offer ways to conceptualize musical scales as patterns with structural integrity and whose shapes can be altered to produce infinitely varying forms. The book shows how these structural properties can be used to map scales onto a microtonal keyboard by providing step-by-step guidelines and clearly illustrated examples. Most importantly, it brings together theoretical and practical methods of tuning to enable composers, performers, and instrument designers to explore previously uncharted areas of microtonality, making a significant contribution to the fields of music theory, composition and music technology.

Book Synopsis Microtonality and the Tuning Systems of Erv Wilson by : Terumi Narushima

Download or read book Microtonality and the Tuning Systems of Erv Wilson written by Terumi Narushima and published by Routledge. This book was released on 2017-11-22 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the emerging area of microtonality through an examination of the tuning theories of Erv Wilson. It is the first publication to offer a broad discussion of this influential theorist whose innovations have far-reaching ramifications for microtonal tuning systems. This study addresses the breadth and complexity of Wilson’s work by focusing on his microtonal keyboard designs as a means to investigate his tuning concepts and their practical applications. Narushima examines materials ranging from historical and experimental tunings to instrument design, as well as musical applications of mathematical theories and multidimensional geometry. The volume provides an analysis of some of Wilson’s most significant theoretical ideas, including the Scale Tree, Moments of Symmetry, Constant Structures, and Combination-Product Sets. These theories offer ways to conceptualize musical scales as patterns with structural integrity and whose shapes can be altered to produce infinitely varying forms. The book shows how these structural properties can be used to map scales onto a microtonal keyboard by providing step-by-step guidelines and clearly illustrated examples. Most importantly, it brings together theoretical and practical methods of tuning to enable composers, performers, and instrument designers to explore previously uncharted areas of microtonality, making a significant contribution to the fields of music theory, composition and music technology.

Number Talks

Author: Sherry Parrish

Publisher: Math Solutions

Published: 2010

Total Pages: 434

ISBN-13: 1935099116

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"A multimedia professional learning resource"--Cover.

Book Synopsis Number Talks by : Sherry Parrish

Download or read book Number Talks written by Sherry Parrish and published by Math Solutions. This book was released on 2010 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A multimedia professional learning resource"--Cover.