Generalized Musical Intervals and Transformations PDF Download

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

View

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

View

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: David Lewin
Publisher: Oxford University Press
ISBN: 019989020X
Category : Music
Languages : en
Pages : 192

View

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

View

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

View

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: Steven Rings
Publisher: Oxford University Press
ISBN: 019991320X
Category : Music
Languages : en
Pages : 272

View

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: Richard Cohn
Publisher: Oxford University Press
ISBN: 0199773211
Category : Music
Languages : en
Pages : 288

View

Book Description
Music theorists have long believed that 19th-century triadic progressions idiomatically extend the diatonic syntax of 18th-century classical tonality, and have accordingly unified the two repertories under a single mode of representation. Post-structuralist musicologists have challenged this belief, advancing the view that many romantic triadic progressions exceed the reach of classical syntax and are mobilized as the result of a transgressive, anti-syntactic impulse. In Audacious Euphony, author Richard Cohn takes both of these views to task, arguing that romantic harmony operates under syntactic principles distinct from those that underlie classical tonality, but no less susceptible to systematic definition. Charting this alternative triadic syntax, Cohn reconceives what consonant triads are, and how they relate to one another. In doing so, he shows that major and minor triads have two distinct natures: one based on their acoustic properties, and the other on their ability to voice-lead smoothly to each other in the chromatic universe. Whereas their acoustic nature underlies the diatonic tonality of the classical tradition, their voice-leading properties are optimized by the pan-triadic progressions characteristic of the 19th century. Audacious Euphony develops a set of inter-related maps that organize intuitions about triadic proximity as seen through the lens of voice-leading proximity, using various geometries related to the 19th-century Tonnetz. This model leads to cogent analyses both of particular compositions and of historical trends across the long nineteenth century. Essential reading for music theorists, Audacious Euphony is also a valuable resource for music historians, performers and composers.

Author: Fred Lerdahl
Publisher: Oxford University Press
ISBN: 0199884404
Category : Music
Languages : en
Pages : 432

View

Book Description
Building on the foundation of Lerdahl and Jackendoff's influential A Generative Theory of Tonal Music, this volume presents a multidimensional model of diatonic and chromatic spaces that quantifies listeners' intuitions of the relative distances of pitches, chords, and keys from a given tonic. The model is employed to assign prolongational structure, represent paths through the space, and compute patterns of tension and attraction as musical events unfold, thereby providing a partial basis for understanding musical narration, expectation, and expression. Conceived as both a music-theoretic treatise and a contribution to the cognitive science of music, this book will be of interest to music theorists, musicologists, composers, computer musicians, and cognitive psychologists.

Author: Jonathan De Souza
Publisher: Oxford University Press
ISBN: 0190271132
Category : Music
Languages : en
Pages : 240

View

Book Description
From prehistoric bone flutes to pipe organs to digital synthesizers, instruments have been important to musical cultures around the world. Yet, how do instruments affect musical organization? And how might they influence players' bodies and minds? Music at Hand explores these questions with a distinctive blend of music theory, psychology, and philosophy. Practicing an instrument, of course, builds bodily habits and skills. But it also develops connections between auditory and motor regions in a player's brain. These multi-sensory links are grounded in particular instrumental interfaces. They reflect the ways that an instrument converts action into sound, and the ways that it coordinates physical and tonal space. Ultimately, these connections can shape listening, improvisation, or composition. This means that pianos, guitars, horns, and bells are not simply tools for making notes. Such technologies, as creative prostheses, also open up possibilities for musical action, perception, and cognition. Throughout the book, author Jonathan De Souza examines diverse musical case studies-from Beethoven to blues harmonica, from Bach to electronic music-introducing novel methods for the analysis of body-instrument interaction. A companion website supports these analytical discussions with audiovisual examples, including motion-capture videos and performances by the author. Written in lucid prose, Music at Hand offers substantive insights for music scholars, while remaining accessible to non-specialist readers. This wide-ranging book will engage music theorists and historians, ethnomusicologists, organologists, composers, and performers-but also psychologists, philosophers, media theorists, and anyone who is curious about how musical experience is embodied and conditioned by technology.

Author: Godfried T. Toussaint
Publisher: CRC Press
ISBN: 1466512032
Category : Mathematics
Languages : en
Pages : 357

View

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