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Organized Time
Organized Time is the first attempt to unite theories of harmony, rhythm and meter, and form under a common idea of structured time. Building off of recent advances in music theory in essential subfields-rhythmic theory, tonal structure, and the theory of musical form--author Jason Yust demonstrates that tonal music exhibits similar hierarchical organization in each of these dimensions. Yust develops a network model for temporal structure with an application of mathematical graph theory, which leads ultimately to musical applications of a multi-dimensional polytope called the associahedron. A wealth of analytical examples includes not only the familiar tonal canon-J.S. Bach, Mozart, Schumann...
Making Musical Time
This book is a comprehensive examination of the conception, perception, performance, and composition of time in music across time and culture. It surveys the literature of time in mathematics, philosophy, psychology, music theory, and somatic studies (medicine and disability studies) and looks ahead through original research in performance, composition, psychology, and education. It is the first monograph solely devoted to the theory of construction of musical time since Kramer in 1988, with new insights, mathematical precision, and an expansive global and historical context. The mathematical methods applied for the construction of musical time are totally new. They relate to category theory...
Mathematics and Computation in Music
This book constitutes the thoroughly refereed proceedings of the Fourth International Conference on Mathematics and Computation in Music, MCM 2013, held in Montreal, Canada, in June 2013. The 18 papers presented were carefully reviewed and selected from numerous submissions. They are promoting the collaboration and exchange of ideas among researchers in music theory, mathematics, computer science, musicology, cognition and other related fields.
Music Through Fourier Space
This book explains the state of the art in the use of the discrete Fourier transform (DFT) of musical structures such as rhythms or scales. In particular the author explains the DFT of pitch-class distributions, homometry and the phase retrieval problem, nil Fourier coefficients and tilings, saliency, extrapolation to the continuous Fourier transform and continuous spaces, and the meaning of the phases of Fourier coefficients. This is the first textbook dedicated to this subject, and with supporting examples and exercises this is suitable for researchers and advanced undergraduate and graduate students of music, computer science and engineering. The author has made online supplementary material available, and the book is also suitable for practitioners who want to learn about techniques for understanding musical notions and who want to gain musical insights into mathematical problems.
Audacious Euphony
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 sys...
The Musical-Mathematical Mind
This book presents a deep spectrum of musical, mathematical, physical, and philosophical perspectives that have emerged in this field at the intersection of music and mathematics. In particular the contributed chapters introduce advanced techniques and concepts from modern mathematics and physics, deriving from successes in domains such as Topos theory and physical string theory. The authors include many of the leading researchers in this domain, and the book will be of value to researchers working in computational music, particularly in the areas of counterpoint, gesture, and Topos theory.
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...
Times A-Changin'
"It is 1969 and Joni Mitchell is on television, standing empty-handed in the middle of a circular stage that is adorned with psychedelic colors. She is wearing a long, hunter-green dress, surrounded by an audience sitting cross-legged on the floor. She waits for television host Dick Cavett to introduce her next performance. The show is filming on the day after the 1969 Woodstock music festival, an event that Mitchell was initially scheduled to attend but from which she was held back by her management to ensure she could perform on The Dick Cavett Show the next day. The host introduces Mitchell and jokes with her about singing a capella, wondering aloud if someone stole her guitar. The singer...
Cadence
Cadence is a comprehensive examination of how formal units in European art music of the tonal era achieve closure. The book brings together the author's decades-long investigations into cadence, a compositional device that is readily experienced both by musicians and non-musicians, but one that has proven intractable to clear and precise theoretical formulation. Rooted in Caplin's broader theory of formal functions, the book first develops concepts of cadence for music of the high classical style and then extends these ideas to gauge cadential practice in earlier and later style periods. Throughout the study, various manifestations of cadence are defined in terms of their morphology (their harmonic and melodic profiles) as well as their function (the specific formal contexts in which they are deployed). Cadence introduces a host of theoretical concepts illustrated by copious musical examples, all of which contain extensive analytical annotations of harmony, melody and form. Though the book is addressed primarily to music theorists, the many issues of compositional practice raised in this study will resonate with the interests of composers, historians, and performers alike.
A Blaze of Light in Every Word
The human singing voice holds immense power - to convey mood, emotion, and identity in songs, provide music's undeniable "wow" moments, and communicate a pop song's meaning perhaps more than any other musical parameter. And unlike the other aspects of musical content - like harmony, form, melody, and rhythm, for which generations of scholars have formed sophisticated analyses - scholarly approaches to vocal delivery remain grossly underdeveloped. An exciting and much-needed new approach, A Blaze of Light in Every Word presents a systematic and encompassing conceptual model for analyzing vocal delivery. Author Victoria Malawey focuses on three overlapping areas of inquiry - pitch, prosody, an...
