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Author: Timothy A. Johnson
Publisher: Scarecrow Press
ISBN: 9780810862135
Category : Mathematics
Languages : en
Pages : 200
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Book Description
Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals is an introductory, undergraduate-level textbook that provides an easy entry point into the challenging field of diatonic set theory, a division of music theory that applies the techniques of discrete mathematics to the properties of diatonic scales. After introducing mathematical concepts that relate directly to music theory, the text concentrates on these mathematical relationships, firmly establishing a link between introductory pedagogy and recent scholarship in music theory. It then relates concepts in diatonic set theory directly to the study of music fundamentals through pedagogical exercises and instructions. Ideal for introductory music majors, the book requires only a general knowledge of mathematics, and the exercises are provided with solutions and detailed explanations. With its basic description of musical elements, this textbook is suitable for courses in music fundamentals, music theory for non-music majors, music and mathematics, and other similar courses that allow students to improve their mathematics skills while pursuing the study of music.
Author: Timothy A. Johnson
Publisher: Scarecrow Press
ISBN: 9780810862135
Category : Mathematics
Languages : en
Pages : 200
Get Book Here
Book Description
Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals is an introductory, undergraduate-level textbook that provides an easy entry point into the challenging field of diatonic set theory, a division of music theory that applies the techniques of discrete mathematics to the properties of diatonic scales. After introducing mathematical concepts that relate directly to music theory, the text concentrates on these mathematical relationships, firmly establishing a link between introductory pedagogy and recent scholarship in music theory. It then relates concepts in diatonic set theory directly to the study of music fundamentals through pedagogical exercises and instructions. Ideal for introductory music majors, the book requires only a general knowledge of mathematics, and the exercises are provided with solutions and detailed explanations. With its basic description of musical elements, this textbook is suitable for courses in music fundamentals, music theory for non-music majors, music and mathematics, and other similar courses that allow students to improve their mathematics skills while pursuing the study of music.
Author: George Heussenstamm
Publisher: Hal Leonard Corporation
ISBN: 1476841195
Category : Music
Languages : en
Pages : 187
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Book Description
(Music Instruction). George Heussenstamm, composer of more than 85 published works and author of The Norton Manual of Music Notation , taught college-level theory for several decades. Unable to find what he considered a suitable text, he wrote his own, honing it through practical classroom experience. It is now published for the first time as Hal Leonard Harmony & Theory . This book is designed for anyone wishing to expand their knowledge of music theory, whether beginner or more advanced. The first two chapters deal with music fundamentals, and may be skipped by those with music reading experience. Each chapter contains many examples that clearly illustrate the concepts presented. Written exercises at the end of each chapter allow the reader to test and apply their knowledge. Topics include: basic music-reading instruction; triads in root position; triads in inversion; cadences; non-harmonic tones; the dominant seventh chord; other seventh chords; and more.
Author: Oliver Ross Skinner
Publisher:
ISBN:
Category : Harmony
Languages : en
Pages : 28
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Book Description
Author: Godfried T. Toussaint
Publisher: CRC Press
ISBN: 1466512032
Category : Mathematics
Languages : en
Pages : 357
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Book Description
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
Author: Steven Rings
Publisher: Oxford University Press
ISBN: 019991320X
Category : Music
Languages : en
Pages : 270
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Book Description
Tonality and Transformation is a groundbreaking study in the analysis of tonal music. Focusing on the listener's experience, author Steven Rings employs transformational music theory to illuminate diverse aspects of tonal hearing - from the infusion of sounding pitches with familiar tonal qualities to sensations of directedness and attraction. In the process, Rings introduces a host of new analytical techniques for the study of the tonal repertory, demonstrating their application in vivid interpretive set pieces on music from Bach to Mahler. The analyses place the book's novel techniques in dialogue with existing tonal methodologies, such as Schenkerian theory, avoiding partisan debate in favor of a methodologically careful, pluralistic approach. Rings also engages neo-Riemannian theory-a popular branch of transformational thought focused on chromatic harmony-reanimating its basic operations with tonal dynamism and bringing them into closer rapprochement with traditional tonal concepts. Written in a direct and engaging style, with lively prose and plain-English descriptions of all technical ideas, Tonality and Transformation balances theoretical substance with accessibility: it will appeal to both specialists and non-specialists. It is a particularly attractive volume for those new to transformational theory: in addition to its original theoretical content, the book offers an excellent introduction to transformational thought, including a chapter that outlines the theory's conceptual foundations and formal apparatus, as well as a glossary of common technical terms. A contribution to our understanding of tonal phenomenology and a landmark in the analytical application of transformational techniques, Tonality and Transformation is an indispensible work of music theory.
Author: Elaine Chew
Publisher: Springer Science & Business Media
ISBN: 3642023940
Category : Computers
Languages : en
Pages : 313
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Book Description
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.
Author: Tom Collins
Publisher: Springer
ISBN: 3319206036
Category : Computers
Languages : en
Pages : 398
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Book Description
This book constitutes the thoroughly refereed proceedings of the 5th International Conference on Mathematics and Computation in Music, MCM 2015, held in London, UK, in June 2015. The 24 full papers and 14 short papers presented were carefully reviewed and selected from 64 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 notation and representation, music generation, patterns, performance, similarity and contrast, post-tonal music analysis, geometric approaches, deep learning, and scales.
Author: Allan Moore
Publisher: Bloomsbury Publishing USA
ISBN: 1501330470
Category : Music
Languages : en
Pages : 717
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Book Description
The Bloomsbury Handbook of Rock Music Research is the first comprehensive academic survey of the field of rock music as it stands today. More than 50 years into its life and we still ask - what is rock music, why is it studied, and how does it work, both as music and as cultural activity? This volume draws together 37 of the leading academics working on rock to provide answers to these questions and many more. The text is divided into four major sections: practice of rock (analysis, performance, and recording); theories; business of rock; and social and culture issues. Each chapter combines two approaches, providing a summary of current knowledge of the area concerned as well as the consequences of that research and suggesting profitable subsequent directions to take. This text investigates and presents the field at a level of depth worthy of something which has had such a pervasive influence on the lives of millions.
Author: Jin Akiyama
Publisher: Springer
ISBN: 354032089X
Category : Computers
Languages : en
Pages : 221
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Book Description
This book constitutes the thoroughly refereed post-proceedings of the Japanese Conference on Discrete Computational Geometry, JCDCG 2004, held in Tokyo, Japan in October 2004, to honor Janos Pach on his fiftieth year. The 20 revised full papers presented were carefully selected during two rounds of reviewing and improvement from over 60 talks at the conference. All current issues in discrete algorithmic geometry are addressed.
Author: Dan Maske
Publisher: Hal Leonard
ISBN: 1705131905
Category : Music
Languages : en
Pages : 41
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Book Description
(Explained). The circle of fifths is a familiar tool known by many musicians. Although this device usually receives nothign more than a brief explanation in most music theory books, the circle illustrates the foundation that organizes much of Western tonal music and is therefore essential to grasp. With the novice musician in mind, author Dan Maske expounds on the nature, nuances and applications of the circle of fifths throughout this book, exploring topics such as: intervals, keys and key signatures, scales, chords and chord progressions, and more.
