Carl Dahlhaus was without doubt the premier musicologist of the postwar generation, a giant whose recent death was mourned the world over. Translated here for the first time, this fundamental work on the development of tonality shows his complete mastery of the theory of harmony. In it Dahlhaus explains the modern concepts of harmony and tonality, reviewing in the process the important theories of Rameau, Sechter, Ftis, Riemann, and Schenker. He contrasts the familiar premises of chordal composition with the lesser known precepts of intervallic composition, the basis for polyphonic music in the late Middle Ages and Renaissance. Numerous quotations from theoretical treatises document how early music was driven forward not by progressions of chords but by simple progressions of intervals. Exactly when did composers transform intervallic composition into chordal composition? Modality into tonality? Dahlhaus provides extensive analyses of motets by Josquin, frottole by Cara and Tromboncino, and madrigals by Monteverdi to demonstrate how, and to what degree, such questions can be answered. In his bold speculations, in his magisterial summaries, in his command of eight centuries of music and writings on music, and in his deep understanding of European history and culture, Carl Dahlhaus sets a standard that will seldom be equalled. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

For centuries, the augmented sixth sonority has fascinated composers and intrigued music analysts. Here, Dr Mark Ellis presents a series of musical examples illustrating the 'evolution' of the augmented sixth and the changing contexts in which it can be found. Surprisingly, the sonority emerged from one of the last remnants of modal counterpoint to survive into the tonal era: the Phrygian Cadence. In the Baroque period, the 'terrible dissonance' was nearly always associated with negative textual imagery. Charpentier described the augmented sixth as 'poignantly expressive'. J. S. Bach considered an occurrence of the chord in one of his forebear's motets 'remarkably bold'. During Bach's composing lifetime, the augmented sixth evolved from a relatively rare chromaticism to an almost commonplace element within the tonal spectrum; the chord reflects particular chronological and stylistic strata in his music. Theorists began cautiously to accept the chord, but its inversional possibilities proved particularly contentious, as commentaries by writers as diverse as Muffat, Marpurg and Rousseau reveal. During the eighteenth century, the augmented sixth became increasingly significant in instrumental repertoires - it was perhaps Vivaldi who first liberated the chord from its negative textual associations. By the later eighteenth century, the chord began to function almost as a 'signpost' to indicate important structural boundaries within sonata form. The chord did not, however, entirely lose its darker undertone: it signifies, for example, the theme of revenge in Mozart's Don Giovanni. Romantic composers uncovered far-reaching tonal ambiguities inherent in the augmented sixth. Chopin's Nocturnes often seem beguilingly simple, but the surface tranquillity masks the composer's strikingly original harmonic experiments. Wagner's much-analyzed 'Tristan Chord' resolves (according to some theorists) on an augmented sixth. In Tristan und Isolde, the chord's mercurial

Tonal Space in the Music of Antonio Vivaldi incorporates an analytical study of Vivaldi's style into a more general exploration of harmonic and tonal organization in the music of the late Italian Baroque. The harmonic and tonal language of Vivaldi and his contemporaries, full of curious links between traditional modal thinking and what would later be considered common-practice major-minor tonality, directly reflects the historical circumstances of the shifting attitude toward the conceptualization of tonal space so crucial to Western art music. Vivaldi is examined in a completely new context, allowing both his prosaic and idiosyncratic sides to emerge clearly. This book contributes to a better understanding of Vivaldi's individual style, while illuminating wider processes of stylistic development and the diffusion of artistic ideas in the 18th century.

The Cambridge History of Western Music Theory is the first comprehensive history of Western music theory to be published in the English language. A collaborative project by leading music theorists and historians, the volume traces the rich panorama of music-theoretical thought from the Ancient Greeks to the present day. Recognizing the variety and complexity of music theory as an historical subject, the volume has been organized within a flexible framework. Some chapters are defined chronologically within a restricted historical domain, whilst others are defined conceptually and span longer historical periods. Together the thirty-one chapters present a synthetic overview of the fascinating and complex subject that is historical music theory. Richly enhanced with illustrations, graphics, examples and cross-citations as well as being thoroughly indexed and supplemented by comprehensive bibliographies of the most important primary and secondary literature, this book will be an invaluable resource for students and scholars alike.

This bibliography of bibliographies lists and describes sources, from basic references to highly specialized materials. Valuable as a classroom text and as a research tool for scholars, librarians, performers, and teachers.

Since it was first published in 1993, the Sourcebook for Research in Music has become an invaluable resource in musical scholarship. The balance between depth of content and brevity of format makes it ideal for use as a textbook for students, a reference work for faculty and professional musicians, and as an aid for librarians. The introductory chapter includes a comprehensive list of bibliographical terms with definitions; bibliographic terms in German, French, and Italian; and the plan of the Library of Congress and the Dewey Decimal music classification systems. Integrating helpful commentary to instruct the reader on the scope and usefulness of specific items, this updated and expanded edition accounts for the rapid growth in new editions of standard works, in fields such as ethnomusicology, performance practice, women in music, popular music, education, business, and music technology. These enhancements to its already extensive bibliographies ensures that the Sourcebook will continue to be an indispensable reference for years to come.

From the Preface: Blending ideas from operations research, music psychology, music theory, and cognitive science, this book aims to tell a coherent story of how tonality pervades our experience, and hence our models, of music. The story is told through the developmental stages of the Spiral Array model for tonality, a geometric model designed to incorporate and represent principles of tonal cognition, thereby lending itself to practical applications of tonal recognition, segmentation, and visualization. Mathematically speaking, the coils that make up the Spiral Array model are in effect helices, a spiral referring to a curve emanating from a central point. The use of “spiral” here is inspired by spiral staircases, intertwined spiral staircases: nested double helices within an outer spiral. The book serves as a compilation of knowledge about the Spiral Array model and its applications, and is written for a broad audience, ranging from the layperson interested in music, mathematics, and computing to the music scientist-engineer interested in computational approaches to music representation and analysis, from the music-mathematical and computational sciences student interested in learning about tonality from a formal modeling standpoint to the computer musician interested in applying these technologies in interactive composition and performance. Some chapters assume no musical or technical knowledge, and some are more musically or computationally involved.

The Hungarian composer György Ligeti (1923-2006) was one of the most innovative and influential composers of the last 50 years. Ligeti reached his creative maturity in the 1970s and 1980s. This book focuses on how Ligeti's compositional style completely transformed during and after the composition of his only opera Le Grand Macabre (1974-77).