Generalized Musical Intervals and Transformations PDF Download

Author: David Lewin
Publisher: Oxford University Press, USA
ISBN: 0199759944
Category : Music
Languages : en
Pages : 291

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Book Description
Generalized Musical Intervals and Transformations is by far the most significant contribution to the field of systematic music theory in the last half-century, generating the framework for the "transformational theory" movement.

Author: David Lewin
Publisher: Oxford University Press
ISBN: 0199717842
Category : Music
Languages : en
Pages : 291

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Book Description
David Lewin's Generalized Musical Intervals and Transformations is recognized as the seminal work paving the way for current studies in mathematical and systematic approaches to music analysis. Lewin, one of the 20th century's most prominent figures in music theory, pushes the boundaries of the study of pitch-structure beyond its conception as a static system for classifying and inter-relating chords and sets. Known by most music theorists as "GMIT", the book is by far the most significant contribution to the field of systematic music theory in the last half-century, generating the framework for the "transformational theory" movement. Appearing almost twenty years after GMIT's initial publication, this Oxford University Press edition features a previously unpublished preface by David Lewin, as well as a foreword by Edward Gollin contextualizing the work's significance for the current field of music theory.

Author: David Lewin
Publisher: Oxford University Press
ISBN: 019989020X
Category : Music
Languages : en
Pages : 185

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Book Description
Distinguished music theorist and composer David Lewin (1933-2003) applies the conceptual framework he developed in his earlier, innovative Generalized Musical Intervals and Transformations to the varied repertoire of the twentieth century in this stimulating and illustrative book. Analyzing the diverse compositions of four canonical composers--Simbolo from Dallapiccola's Quaderno musicale di Annalibera ; Stockhausen's Klavierstuck III ; Webern's Op. 10, No. 4; and Debussy's Feux d'articifice --Lewin brings forth structures which he calls "transformational networks" to reveal interesting and suggestive aspects of the music. In this complementary work, Lewin stimulates thought about the general methodology of musical analysis and issues of large-scale form as they relate to transformational analytic structuring. Musical Form and Transformation , first published in 1993 by Yale University Press, was the recipient of an ASCAP Deems Taylor Award.

Author: Ming Tsao
Publisher: Lulu.com
ISBN: 1430308354
Category : Music
Languages : en
Pages : 172

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Book Description
This book is an introduction to GIS (Generalized Interval Systems) theory that includes the major results of pitch-class theory. It provides mathematicians with applications of group theory to music and music theorists with the essential connections between GIS theory and pitch-class theory. Many of the results in pitch-class theory are not addressed by David Lewin (such as power functions or the Common Tone Theorem for inversions). The book states those results and generalizes them to conform with GIS theory. Finally, it addresses recent criticisms leveled at pitch-class theory and suggests how they can be addressed in GIS theory.

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: Edward Gollin
Publisher: OUP USA
ISBN: 0195321332
Category : Music
Languages : en
Pages : 628

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Book Description
In recent years neo-Riemannian theory has established itself as the leading approach of our time, and has proven particularly adept at explaining features of chromatic music. The Oxford Handbook of Neo-Riemannian Music Theories assembles an international group of leading music theory scholars in an exploration of the music-analytical, theoretical, and historical aspects of this new field.

Author: David Lewin
Publisher: Oxford University Press
ISBN: 0198040180
Category : Music
Languages : en
Pages : 423

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Book Description
Throughout his career, David Lewin labored to make even the most abstract theory speak to the experience of the ordinary listener. This book combines many of Lewin's classic articles on song and opera with newly drafted chapters on songs of Brahms, Robert Schumann, Clara Schumann, and Milton Babbitt. Bound together by Lewin's cogent insight, the resulting collection constitutes a major statement concerning the methodological problems associated with interpretation of texted music.

Author: Richard Cohn
Publisher: OUP USA
ISBN: 019977269X
Category : Music
Languages : en
Pages : 256

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Book Description
Reconstructing historical conceptions of harmonic distance, Audacious Euphony advances a geometric model appropriate to understanding triadic progressions characteristic of 19th-century music. Author Rick Cohn uncovers the source of the indeterminacy and uncanniness of romantic music, as he focuses on the slippage between chromatic and diatonic progressions and the systematic principles under which each operate.

Author: Frank Lehman
Publisher: Oxford University Press
ISBN: 0190606398
Category : Music
Languages : en
Pages : 313

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Book Description
Film music often tells us how to feel, but it also guides us how to hear. Filmgoing is an intensely musical experience, one in which the soundtrack structures our interpretations and steers our emotions. Hollywood Harmony explores the inner workings of film music, bringing together tools from music theory, musicology, and music psychology in this first ever book-length analytical study of this culturally central repertoire. Harmony, and especially chromaticism, is emblematic of the "film music sound," and it is often used to evoke that most cinematic of feelings-wonder. To help parse this familiar but complex musical style, Hollywood Harmony offers a first-of-its kind introduction to neo-Riemannian theory, a recently developed and versatile method of understanding music as a dynamic and transformational process, rather than a series of inert notes on a page. This application of neo-Riemannian theory to film music is perfect way in for curious newcomers, while also constituting significant scholarly contribution to the larger discipline of music theory. Author Frank Lehman draws from his extensive knowledge of cinematic history with case-studies that range from classics of Golden Age Hollywood to massive contemporary franchises to obscure cult-films. Special emphasis is placed on scores for major blockbusters such as Lord of the Rings, Star Wars, and Inception. With over a hundred meticulously transcribed music examples and more than two hundred individual movies discussed, Hollywood Harmony will fascinate any fan of film and music.

Author: A.H. Zemanian
Publisher: Courier Corporation
ISBN: 0486151948
Category : Mathematics
Languages : en
Pages : 404

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Book Description
Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory; it combines the theory effectively with extensive practical applications to science and engineering problems. Based on a graduate course given at the State University of New York at Stony Brook, this book has two objectives: to provide a comparatively elementary introduction to distribution theory and to describe the generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems. After an introductory chapter defining distributions and the operations that apply to them, Chapter 2 considers the calculus of distributions, especially limits, differentiation, integrations, and the interchange of limiting processes. Some deeper properties of distributions, such as their local character as derivatives of continuous functions, are given in Chapter 3. Chapter 4 introduces the distributions of slow growth, which arise naturally in the generalization of the Fourier transformation. Chapters 5 and 6 cover the convolution process and its use in representing differential and difference equations. The distributional Fourier and Laplace transformations are developed in Chapters 7 and 8, and the latter transformation is applied in Chapter 9 to obtain an operational calculus for the solution of differential and difference equations of the initial-condition type. Some of the previous theory is applied in Chapter 10 to a discussion of the fundamental properties of certain physical systems, while Chapter 11 ends the book with a consideration of periodic distributions. Suitable for a graduate course for engineering and science students or for a senior-level undergraduate course for mathematics majors, this book presumes a knowledge of advanced calculus and the standard theorems on the interchange of limit processes. A broad spectrum of problems has been included to satisfy the diverse needs of various types of students.