For the past 40 years, pitch-class set theory has served as a frame of reference for the study of atonal music, through the efforts of Allan Forte, Milton Babbitt, and others. This text combines thorough discussions of musical concepts with an historical narrative.

Describes and cites examples of pitch-class sets and relations in atonal music

Portrays Schoenberg's atonal music as successions of motives and pitch-class sets that flesh out 'musical idea' and 'basic image' frameworks.

Twentieth-Century Music Theory and Practice introduces a number of tools for analyzing a wide range of twentieth-century musical styles and genres. It includes discussions of harmony, scales, rhythm, contour, post-tonal music, set theory, the twelve-tone method, and modernism. Recent developments involving atonal voice leading, K-nets, nonlinearity, and neo-Reimannian transformations are also engaged. While many of the theoretical tools for analyzing twentieth century music have been devised to analyze atonal music, they may also provide insight into a much broader array of styles. This text capitalizes on this idea by using the theoretical devices associated with atonality to explore music inclusive of a large number of schools and contains examples by such stylistically diverse composers as Paul Hindemith, George Crumb, Ellen Taffe Zwilich, Steve Reich, Michael Torke, Philip Glass, Alexander Scriabin, Ernest Bloch, Igor Stravinsky, Béla Bartók, Sergei Prokofiev, Arnold Schoenberg, Claude Debussy, György Ligeti, and Leonard Bernstein. This textbook also provides a number of analytical, compositional, and written exercises. The aural skills supplement and online aural skills trainer on the companion website allow students to use theoretical concepts as the foundation for analytical listening. Access additional resources and online material here: http: //www.twentiethcenturymusictheoryandpractice.net and https: //www.motivichearing.com/.

Understanding Post-Tonal Music is a student-centered textbook that explores the compositional and musical processes of twentieth-century post-tonal music. Intended for undergraduate or general graduate courses on the theory and analysis of twentieth-century music, this book will increase the accessibility of post-tonal music by providing students with tools for understanding pitch organization, rhythm and meter, form, texture, and aesthetics. By presenting the music first and then deriving the theory, Understanding Post-Tonal Music leads students to greater understanding and appreciation of this challenging and important repertoire. The updated second edition includes new "Explorations" features that guide students to engage with pieces through listening and a process of exploration, discovery, and discussion; a new chapter covering electronic, computer, and spectral musics; and additional coverage of music from the twenty-first century and recent trends. The text has been revised throughout to enhance clarity, both by streamlining the prose and by providing a visual format more accessible to the student.