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Exploring Musical Spaces
Exploring Musical Spaces is a comprehensive synthesis of mathematical techniques in music theory, written with the aim of making these techniques accessible to music scholars without extensive prior training in mathematics. The book adopts a visual orientation, introducing from the outset a number of simple geometric models--the first examples of the musical spaces of the book's title--depicting relationships among musical entities of various kinds such as notes, chords, scales, or rhythmic values. These spaces take many forms and become a unifying thread in initiating readers into several areas of active recent scholarship, including transformation theory, neo-Riemannian theory, geometric m...
Mathematics and Computation in Music
This book constitutes the thoroughly refereed proceedings of the 5th International Conference on Mathematics and Computation in Music, MCM 2015, held in London, UK, in June 2015. The 24 full papers and 14 short papers presented were carefully reviewed and selected from 64 submissions. The papers feature research that combines mathematics or computation with music theory, music analysis, composition, and performance. They are organized in topical sections on notation and representation, music generation, patterns, performance, similarity and contrast, post-tonal music analysis, geometric approaches, deep learning, and scales.
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Music Theory and Mathematics
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 int...
Tonality and Transformation
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 fa...
The Oxford Handbook of Neo-Riemannian Music Theories
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.
The Art of Post-Tonal Analysis
"This book consists of analyses of thirty-three musical passages or entire short works in a variety of post-tonal styles. The works under study are taken from throughout the long twentieth century, from 1909 to the present. Within the atonal wing of modern classical music, the composers discussed here, some canonical and some not, represent a diversity of musical style, chronology, geography, gender, and race/ethnicity. Composers studied include Schoenberg, Webern, Berg, Bartok, Stravinsky, Copland, Crawford-Seeger, Babbitt, Dallapiccola, Carter, Louise Talma, Hale Smith, Elisabeth Lutyens, Ursula Mamlok, Tania León, Tan Dun, Shulamit Ran, Kaija Saariaho, Joan Tower, John Adams, Sofia Gubaidulina, Thomas Adès, Caroline Shaw, Chen Yi, and Suzanne Farrin. The approach is pedagogical, in the somewhat informal style of a classroom. Musical examples and analytical videos carry the burden of the analytical argument, with relatively little prose. For each piece, the book suggests ways of making sense of the music, using basic concepts of post-tonal theory to tease out rich networks of musical relationships and reveal something of the fascination and beauty of this challenging music"--
Enacting Musical Time
A compelling approach among works on temporality, phenomenology, and the ecologies of the new sound worlds, Enacting Musical Time argues that musical time is itself the site of the interaction between musical sounds and a situated, embodied listener, created by the moving bodies of participants engaged in musical activities.
Norton Guide to Teaching Music Theory
Featuring twenty-three essays by outstanding teacher-scholars on topics ranging from Schenkerian theory to gender, The Norton Guide to Teaching Music Theory covers every facet of music theory pedagogy. The volume serves as a reference for theory teachers and a text for pedagogy classes.
