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.
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.
David Kopp's book develops a model of chromatic chord relations in nineteenth-century music by composers such as Schubert, Beethoven, Chopin, Schumann, and Brahms. The emphasis is on explaining chromatic third relations and the pivotal role they play in theory and practice. Drawing on tenets of nineteenth-century harmonic theory, contemporary transformation theory, and the author's own approach, the book presents a clear and elegant means for characterizing commonly acknowledged but loosely defined elements of chromatic harmony. The historical and theoretical argument is supplemented by many analytic examples.
Essays in diatonic set theory, transformation theory, and neo-Riemannian theory -- the newest and most exciting fields in music theory today. The essays in Music Theory and Mathematics: Chords, Collections, and Transformations define the state of mathematically oriented music theory at the beginning of the twenty-first century. The volume includes essays in diatonic set theory, transformation theory, and neo-Riemannian theory -- the newest and most exciting fields in music theory today. The essays constitute a close-knit body of work -- a family in the sense of tracing their descentfrom a few key breakthroughs by John Clough, David Lewin, and Richard Cohn in the 1980s and 1990s. They are integrated by the ongoing dialogue they conduct with one another. The editors are Jack Douthett, a mathematician and music theorist who collaborated extensively with Clough; Martha M. Hyde, a distinguished scholar of twentieth-century music; and Charles J. Smith, a specialist in tonal theory. The contributors are all prominent scholars, teaching at institutions such as Harvard, Yale, Indiana University, and the University at Buffalo. Six of them (Clampitt, Clough, Cohn, Douthett, Hook, and Smith) have received the Society for Music Theory's prestigious PublicationAward, and one (Hyde) has received the ASCAP Deems Taylor Award. The collection includes the last paper written by Clough before his death, as well as the last paper written by David Lewin, an important music theorist also recently deceased. Contributors: David Clampitt, John Clough, Richard Cohn, Jack Douthett, Nora Engebretsen, Julian Hook, Martha Hyde, Timothy Johnson, Jon Kochavi, David Lewin, Charles J. Smith, and Stephen Soderberg.
Materials and Techniques of Post-Tonal Music, Fifth Edition provides the most comprehensive introduction to post-tonal music and its analysis available. Covering music from the end of the nineteenth century through the beginning of the twenty-first, it offers students a clear guide to understanding the diverse and innovative compositional strategies that emerged in the post-tonal era, from Impressionism to computer music. This updated fifth edition features: chapters revised throughout to include new examples from recent music and insights from the latest scholarship; the introduction of several new concepts and topics, including parsimonius voice-leading, scalar transformations, the New Complexity, and set theory in less chromatic contexts; expanded discussions of spectralism and electronic music; timelines in each chapter, grounding the music discussed in its chronological context; a companion website that provides students with links to recordings of musical examples discussed in the text and provides instructors with an instructor’s manual that covers all of the exercises in each chapter. Offering accessible explanations of complex concepts, Materials and Techniques of Post-Tonal Music, Fifth Edition is an essential text for all students of post-tonal music theory.
Though studying opera often requires attention to aesthetics, libretti, staging, singers, compositional history, and performance history, the music itself is central. This book examines operatic music by five Italian composers--Rossini, Bellini, Mercadante, Donizetti, and Verdi--and one non-Italian, Meyerbeer, during the period from Rossini's first international successes to Italian unification. Detailed analyses of form, rhythm, melody, and harmony reveal concepts of musical structure different from those usually discussed by music theorists, calling into question the notion of a common practice. Taking an eclectic analytical approach, author William Rothstein uses ideas originating in several centuries, from the sixteenth to the twenty-first, to argue that operatic music can be heard not only as passionate vocality but also in terms of musical forms, pitch structures, and rhythmic patterns--that is, as carefully crafted music worth theoretical attention. Although no single theory accounts for everything, Rothstein's analysis shows how certain recurring principles define a distinctively Italian practice, one that left its mark on the German repertoire more familiar to music theorists.
Musicology, having been transmitted as a compilation of disparate events and disciplines, has long necessitated a 'magic bullet', a 'unified field theory' so to speak, that can interpret the steady metamorphosis of Western art music from late medieval modality to twentieth-century atonality within a single theoretical construct. Without that magic bullet, discussions of this kind are increasingly complicated and, to make matters worse, the validity of any transformational models and ideas of the natural evolution of styles is questioned and even frowned upon today as epitomizing a grotesque teleological bigotry. Going against current thinking, Henry Burnett and Roy Nitzberg claim that the teleological approach to observing stylistic change is still valid when considered from the purely compositional perspective. The authors challenge the traditional understanding of development, and advance a new theory of eleven-pitch tonality as it relates to the corpus of Western composition. The book plots the evolution of tonality and its bearing on style and the compositional process itself. The theory is not based on the diatonic aspect of the various tonal systems exploited by composers; rather, the theory is chromatically based - the chromatically inflected octave being the source not only of a highly ingenious developmental dialectic, but also encompassing the moment-to-moment progression of the musical narrative itself. Even the most profound teachings of Schenker, and the often startlingly original and worthwhile speculations of Riemann, Tovey, Dahlhaus and others, still provide no theory of development and so are ultimately unable to unite the various tendrils of the compositional organism into a unified whole. Burnett and Nitzberg move beyond existing theory and analysis to base their theory from the standpoint of chromatic 'pitch fields'. These fields are the specific chromatic pitch choices that a composer uses to inform and design a complete composition, utilizing
How is the Beatles' "Help!" similar to Stravinsky's "Dance of the Adolescents?" How does Radiohead's "Just" relate to the improvisations of Bill Evans? And how do Chopin's works exploit the non-Euclidean geometry of musical chords? In this groundbreaking work, author Dmitri Tymoczko describes a new framework for thinking about music that emphasizes the commonalities among styles from medieval polyphony to contemporary rock. Tymoczko identifies five basic musical features that jointly contribute to the sense of tonality, and shows how these features recur throughout the history of Western music. In the process he sheds new light on an age-old question: what makes music sound good? A Geometry of Music provides an accessible introduction to Tymoczko's revolutionary geometrical approach to music theory. The book shows how to construct simple diagrams representing relationships among familiar chords and scales, giving readers the tools to translate between the musical and visual realms and revealing surprising degrees of structure in otherwise hard-to-understand pieces. Tymoczko uses this theoretical foundation to retell the history of Western music from the eleventh century to the present day. Arguing that traditional histories focus too narrowly on the "common practice" period from 1680-1850, he proposes instead that Western music comprises an extended common practice stretching from the late middle ages to the present. He discusses a host of familiar pieces by a wide range of composers, from Bach to the Beatles, Mozart to Miles Davis, and many in between. A Geometry of Music is accessible to a range of readers, from undergraduate music majors to scientists and mathematicians with an interest in music. Defining its terms along the way, it presupposes no special mathematical background and only a basic familiarity with Western music theory. The book also contains exercises designed to reinforce and extend readers' understanding, along with a series of appendices that explore the technical details of this exciting new theory.
