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Books > Arts & Architecture > Music > Theory of music & musicology > General
In this volume fifteen musicologists from five countries present new findings and observations concerning the production, distribution and use of music manuscripts and prints in seventeenth-century Europe. A special emphasis is laid on the Duben Collection, one of the largest music collections of seventeenth-century Europe, preserved at the Uppsala University Library. The papers in this volume were initially presented at an international conference at Uppsala University in September 2006, held on the occasion of the launching of The Duben Collection Database Catalogue on the Internet. For the first time, the entire collection had been made acessible worldwide, covering a vast number of musical and philological aspects of all items in the collection.
One of Oprah Daily's 20 Favorite Books of 2021 * Selected as one of Pitchfork's Best Music Books of the Year "One of the best books of its kind in decades." -The Wall Street Journal An epic achievement and a huge delight, the entire history of popular music over the past fifty years refracted through the big genres that have defined and dominated it: rock, R&B, country, punk, hip-hop, dance music, and pop Kelefa Sanneh, one of the essential voices of our time on music and culture, has made a deep study of how popular music unites and divides us, charting the way genres become communities. In Major Labels, Sanneh distills a career's worth of knowledge about music and musicians into a brilliant and omnivorous reckoning with popular music-as an art form (actually, a bunch of art forms), as a cultural and economic force, and as a tool that we use to build our identities. He explains the history of slow jams, the genius of Shania Twain, and why rappers are always getting in trouble. Sanneh shows how these genres have been defined by the tension between mainstream and outsider, between authenticity and phoniness, between good and bad, right and wrong. Throughout, race is a powerful touchstone: just as there have always been Black audiences and white audiences, with more or less overlap depending on the moment, there has been Black music and white music, constantly mixing and separating. Sanneh debunks cherished myths, reappraises beloved heroes, and upends familiar ideas of musical greatness, arguing that sometimes, the best popular music isn't transcendent. Songs express our grudges as well as our hopes, and they are motivated by greed as well as idealism; music is a powerful tool for human connection, but also for human antagonism. This is a book about the music everyone loves, the music everyone hates, and the decades-long argument over which is which. The opposite of a modest proposal, Major Labels pays in full.
Among major 20th-century composers whose music is poorly understood, Sergei Prokofiev stands out conspicuously. The turbulent times in which Prokofiev lived and the chronology of his travels-he left Russia in the wake of Revolution, and returned at the height of the Stalinist purges-have caused unusually polarized appraisals of his music. While individual, distinctive, and instantly recognizable, Prokofiev's music was also idiosyncratically tonal in an age when tonality was largely passe. Prokofiev's output therefore has been largely elusive and difficult to assess against contemporary trends. More than sixty years after the composer's death, editors Rita McAllister and Christina Guillaumier offer Rethinking Prokofiev as an assessment that redresses this enigmatic composer's legacy. Often more political than artistic, these appraisals have depended not only upon the date of publication but also the geographical location of the writer. Commissioned from some of the most distinguished and rising scholars in the field, this collection highlights the background and context of Prokofiev's work. Contributors delve into the composer's relationship to nineteenth-century Russian traditions, Silver-Age and Symbolist composers and poets, the culture of Paris in the 1920s and '30s, and to his later Soviet colleagues and younger contemporaries. They also investigate his reception in the West, his return to Russia, and the effect of his music on contemporary popular culture. Still, the main focus of the book is on the music itself: his early, experimental piano and vocal works, as well as his piano concertos, operas, film scores, early ballets, and late symphonies. Through an empirical examination of his characteristic harmonies, melodies, cadences, and musical gestures-and through an analysis of the newly uncovered contents of his sketch-books-contributors reveal much of what makes Prokofiev an idiosyncratic genius and his music intriguing, often dramatic, and almost always beguiling.
In this volume, the first panoramic study of music in the apocalyptic mode, an international and trans-disciplinary array of scholars and composers explore the resonance of the ancient biblical Revelation of John across the centuries in musical works as diverse as El Cant de la Sibil·la, the Dies Irae, cantatas and oratorios by Bach and Telemann, Wagner's Der Ring des Nibelungen, Schoenberg’s Second String Quartet, African American Spirituals, Messiaen’s Quatuor pour la fin du temps, Christian “ApokRock,†Hip-hop, Grimes’s album Miss Anthropocene, and the songs of Bob Marley and Bob Dylan. This innovative volume will engage scholars, students, and all those interested in the intersection of music, religion, history, and popular culture.
Music Learning Today: Digital Pedagogy for Creating, Performing, and Responding to Music presents an approach to conceptualizing and utilizing technology as a tool for music learning. Designed for use by pre- and in-service music teachers, it provides the essential understandings required to become an adaptive expert with music technology, creating and implementing lessons, units, and curriculum that take advantage of technological affordances to assist students in developing their musicianship. Author William I. Bauer makes connections among music knowledge and skill outcomes, the research on human cognition and music learning, best practices in music pedagogy, and technology. His essential premise is that music educators and students benefit through use of technology as a tool to support learning in the three musical processes - creating, performing, and responding to music. The philosophical and theoretical rationales, along with the practical information discussed in the book, are applicable to all experience levels. However, the technological applications described are focused at a beginning to intermediate level, relevant to both pre-service and in-service music educators and their students. This expanded second edition features an all-new student-friendly design and updated discussions of recent technological developments with applications for music teaching and learning. The revamped companion website also offers a new teacher's guide, with sample syllabi and lessons for each chapter.
Music as Prayer explores the spiritual and theological character of church music. Author Thomas H. Troeger-a theologian, preacher, poet and flutist-traces how making and listening to music can be an act of prayer, a way of sensing the irrepressible resilience of the divine vitalities, in down-to-earth language that everyone can enjoy. The book employs a wide range of perspectives: from scientific observations about the affect of music on the brain, to the insights of early church fathers about the place of music in worship, to the compositions of great composers and their reflections upon their art, to the Bible and theologians, to organists, choir directors and instrumentalists, to hymnists and poets. Listening to the wisdom of these varied tribes, Troeger finds them to be a cloud of witnesses, a choir giving testimony to how music puts the human heart in touch with the spirit in times of sorrow and seeking, in times of joy and gratitude. The book is addressed to listeners and performers alike, instrumentalists and singers, clergy and seminarians, worship committees and congregation members, scholars and teachers of liturgy and sacred music. It helps musicians and clergy to develop a mutual understanding of the theological and spiritual dimensions of their collaborative work. As a whole, the book celebrates the ministry of making music that awakens people to those gifts of the spirit that sustain hope, promote healing, and enliven a visionary faith in the possibility of a transformed world.
In the late 1920s, Hollywood's conversion from silent to synchronized-sound film production not only instigated the convergence of the film and music industries but also gave rise to an extraordinary period of song use in American cinema. Saying It With Songs considers how the increasing interdependence of Hollywood studios and Tin Pan Alley music publishing firms influenced the commercial and narrative functions of popular songs in a variety of film genres. Whereas most scholarship on film music of the period focuses on adaptations of Broadway musicals, Saying It With Songs examines the functions of songs in a variety of non-musical genres, including melodramas, romantic comedies, Westerns, prison dramas, and action-adventure films, and shows how filmmakers tested and refined their approach to songs in order to reconcile the tension produced by three competing forces: the spectacle of song performance, the classical norms of storytelling, and the established conventions of background orchestral scoring inherited from the period of silent cinema. By 1931, a so-called "song glut" led the studios to curtail their use of popular music in favor of a growing alternative - the classical film score - but popular songs continued to fulfill critical functions of narration in Hollywood films of subsequent decades. Written in language accessible to film and music scholars as well as general readers, Saying It With Songs illuminates the seminal origins of the popular song score aesthetic of American cinema.
A framework for understanding the deep archive of Black performance in the digital era In an era of Big Data and algorithms, our easy access to the archive of contemporary and historical Blackness is unprecedented. That iterations of Black visual art, such as Bert Williams's 1916 silent film short "A Natural Born Gambler" or the performances of Josephine Baker from the 1920s, are merely a quick YouTube search away has transformed how scholars teach and research Black performance. While Black Ephemera celebrates this new access, it also questions the crisis and the challenge of the Black musical archive in a moment when Black American culture has become a global export. Using music and sound as its primary texts, Black Ephemera argues that the cultural DNA of Black America has become obscured in the transformation from analog to digital. Through a cross-reading of the relationship between the digital era and culture produced in the pre-digital era, Neal argues that Black music has itself been reduced to ephemera, at best, and at worst to the background sounds of the continued exploitation and commodification of Black culture. The crisis and challenges of Black archives are not simply questions of knowledge, but of how knowledge moves and manifests itself within Blackness that is obscure, ephemeral, fugitive, precarious, fluid, and increasingly digital. Black Ephemera is a reminder that for every great leap forward there is a necessary return to the archive. Through this work, Neal offers a new framework for thinking about Black culture in the digital world.
The first book-length study in English of composer Mathias Spahlinger, one of Germany’s leading practitioners of contemporary music. One of the most stimulating and provocative figures on the new music scene on Germany, he has long been a touchstone for leftist, ‘critical’ composition there, yet his work has received very little attention in Anglophone scholarship until now. Born in 1944, Spahlinger has risen only gradually to prominence in his native Germany and for many years was considered an outsider within the contemporary music scene. Yet, his position as one of the most venerable exponents of post-WWII modernism in his homeland is now undeniable: his music is regularly performed, he has received commissions from many of the major orchestras and new music groups in Germany, and in 2014 he received the Großen Berliner Kunstpreis (Berlin Art Prize – Grand Prize) from the city’s Akademie der Künste (Academy of Arts). Spahlinger is, however, becoming increasingly known as a significant figure within later twentieth-century music – in 2015, a festival in Chicago focused exclusively on his music, and he was a keynote speaker at a conference on Compositional Aesthetics and the Political at Goldsmiths, University of London. This new book provides an essential reference for scholars of new music and twentieth-century modernism. There are no other book-length studies of Spahlinger in English, though there is a monograph and a book of essays in German, and books of interviews. This original work promises a more critical perspective upon the composer and his aesthetics and political ideas compared to previous publications. The illustrations include musical examples. Its primary market will be a specialist musicological readership, including academics, researchers and composers, but the writing style such that it could be accessible also to undergraduates interested in the field. The discussion of aesthetic debates in post-war Germany, and the interesting reading of the work of Jacques Rancière, means that it could also have significant appeal across the disciplines of philosophy and critical theory.
Pyotr Ilyich Tchaikovsky remains to this day one of the most-performed Russian composers. Based on recent studies and source editions, this book demonstrates the close interrelationship between Tchaikovsky's life and his work. The author portrays the versatility of the musician who died at the mere age of 53 under controversial circumstances in St. Petersburg. About the German edition of this book: "[...] Constantin Floros devotes himself initially to the biography and then to the compositional oeuvre, divided according to genre and supplemented by concrete illustrations, thus giving greater significance to the music." (Forum Musikbibliothek 27, 2006) "[...] the music gets more weight of its own in the more detailed analyses - illustrated with revealing note citations - which yet always remain readily accessible." (Steffen A. Schmidt, Das Orchester 02/2007)
Rhythm is the fundamental pulse that animates poetry, music, and dance across all cultures. And yet the recent explosion of scholarly interest across disciplines in the aural dimensions of aesthetic experience-particularly in sociology, cultural and media theory, and literary studies-has yet to explore this fundamental category. This book furthers the discussion of rhythm beyond the discrete conceptual domains and technical vocabularies of musicology and prosody. With original essays by philosophers, psychologists, musicians, literary theorists, and ethno-musicologists, The Philosophy of Rhythm opens up wider-and plural-perspectives, examining formal affinities between the historically interconnected fields of music, dance, and poetry, while addressing key concepts such as embodiment, movement, pulse, and performance. Volume editors Peter Cheyne, Andy Hamilton, and Max Paddison bring together a range of key questions: What is the distinction between rhythm and pulse? What is the relationship between everyday embodied experience, and the specific experience of music, dance, and poetry? Can aesthetics offer an understanding of rhythm that helps inform our responses to visual and other arts, as well as music, dance, and poetry? And, what is the relation between psychological conceptions of entrainment, and the humane concept of rhythm and meter? Overall, The Philosophy of Rhythm appeals across disciplinary boundaries, providing a unique overview of a neglected aspect of aesthetic experience.
How can an abstract sequence of sounds so intensely express emotional states? How does music elicit or arouse our emotions? What happens at the physiological and neural level when we listen to music? How do composers and performers practically manage the expressive powers of music? How have societies sought to harness the powers of music for social or therapeutic purposes? In the past ten years, research into the topic of music and emotion has flourished. In addition, the relationship between the two has become of interest to a broad range of disciplines in both the sciences and humanities. The Emotional Power of Music is a multidisciplinary volume exploring the relationship between music and emotion. Bringing together contributions from psychologists, neuroscientists, musicologists, musicians, and philosophers, the volume presents both theoretical perspectives and in-depth explorations of particular musical works, as well as first-hand reports from music performers and composers. In the first section of the book, the authors consider the expression of emotion within music, through both performance and composing. The second section explores how music can stimulate the emotions, considering the psychological and neurological mechanisms that underlie music listening. The third section explores how different societes have sought to manage and manipulate the power of music. The book is valuable for those in the fields of music psychology and music education, as well as philosophy and musicology
Manchester Beethoven studies presents ten original chapters by scholars with close ties to the University of Manchester. It throws new light on many aspects of Beethoven’s life and works, with a special emphasis on early or little-known compositions such as his concert aria Erste Liebe, his String Quintet Op. 104 and his folksong settings. Biographical elements are prominent in a wide-ranging reassessment of his religious attitudes and beliefs, while Charles Hallé, founder of the Manchester-based Hallé Orchestra, is revealed to have been a tireless and energetic promoter of Beethoven’s music in the later nineteenth century. -- .
Playing Beyond the Notes: A Pianist's Guide to Musical Interpretation demystifies the vague and complex concept of musical interpretation in Western tonal piano music by boiling it down to basic principles in an accessible writing style. Its intended audience is performing pianists, independent piano teachers, and piano pedagogy students, and the over 200 repertoire excerpts in the book cover the intermediate to advanced piano literature. Rather than dealing with issues pertaining to performance practice, specific composers, or genres, this book focuses solely on musical interpretation. Each chapter tackles a different interpretive principle, explaining clearly, for example, how to play effective ornaments and rubatos or how to understand transitional sections of pieces. The author supplies a helpful checklist of questions at the end of each chapter. The book aims to help pianists understand concrete ways to apply interpretive concepts to their own playing and to give teachers practical ways to teach interpretation to their students. The book is supplemented by a companion website that hosts over 100 audio recordings to enhance the reader's experience.
Based on educational theory, and on recognized music teaching methods, Theory and Practice of Technology-Based Music Instruction develops a framework for examining music teaching that uses technology to introduce, reinforce, and assess skills and concepts. The framework guides in-depth discussions about theoretical and philosophical foundations of technology-based music instruction (TBMI), materials for teaching, teaching behaviors, and assessment of student work, teacher work, and fit of technology into the music program. The book includes examples of TBMI lessons from real teachers, and analyses of the successful and developing parts of these lessons. Also included are Profiles of Practice: firsthand accounts of music teachers using technology in their classrooms based on the author's observations, and the teachers' own reflections on their work. Because TBMI is situated in the world of public education, issues of accountability and standards are addressed. Also included are recommendations for professional development in technology based music instruction. Finally, the text looks to the future to discuss emerging technologies, alternative ensembles, and social issues that may impact technology based music instruction in years to come.
Teaching Music through Composition offers a practical and fully multimedia curriculum of over 60 lesson plans in 29 units of study, including student assignments sheets, worksheets, handouts, and audio, MIDI, and video files on a companion website. Author and award-winning music educator Barbara Freedman presents classroom-tested ways of teaching a wide array of musical topics, including general/basic music theory, music appreciation and analysis, keyboarding, composing/arranging, even ear-training (aural theory) using technology that will directly engage students in the twenty first century. The larger curriculum objective of this book is to teach basic musical concepts through the creative process of music composition. The tool with which students create, edit, save, and reproduce music is the technology. As Freedman demonstrates, technology allows a musical experience for all skill levels in opportunities never before available to compose music without having to know much about traditional music theory or notation. All students can have meaningful hands-on applied learning experiences that will impact not only their music experience and learning but also their understanding and comfort with 21st century technology. Whether the primary focus of your class is to use technology to create music or to explore using technology as a unit or two, this book will show you how it can be done with practical, tried-and-true lesson plans and student activities.
This book explores the fascinating and intimate relationship between music and physics. Over millennia, the playing of, and listening to music have stimulated creativity and curiosity in people all around the globe. Beginning with the basics, the authors first address the tonal systems of European-type music, comparing them with those of other, distant cultures. They analyze the physical principles of common musical instruments with emphasis on sound creation and particularly charisma. Modern research on the psychology of musical perception - the field known as psychoacoustics - is also described. The sound of orchestras in concert halls is discussed, and its psychoacoustic effects are explained. Finally, the authors touch upon the role of music for our mind and society. Throughout the book, interesting stories and anecdotes give insights into the musical activities of physicists and their interaction with composers and musicians.
At the height of the Enlightenment, four conservatories in Naples
stood at the center of European composition. Maestros taught their
students to compose with unprecedented swiftness and elegance using
the partimento, an instructional tool derived from the basso
continuo that encouraged improvisation as the path to musical
fluency. Although the practice vanished in the early nineteenth
century, its legacy lived on in the music of the next generation.
In The Art of Partimento, performer and music-historian Giorgio
Sanguinetti chronicles the history of this long-forgotten
Neapolitan art. Sanguinetti has painstakingly reconstructed the
oral tradition that accompanied these partimento manuscripts, now
scattered throughout Europe. Beginning with the origins of the
partimento in the circles of Corelli, Pasquini, and Alessandro
Scarlatti in Rome and tracing it through the peak of the tradition
in Naples, The Art of Partimento gives a glimpse into the daily
life and work of an eighteenth century composer.
The Sounds of the Silents in Britain explores the sonic dimension of film exhibition in Britain, from the emergence of cinema through to the introduction of synchronized sound. Edited by Julie Brown and Annette Davison, the volume includes original scholarship from many highly-regarded experts on British silent film from a range of disciplinary backgrounds, such as film history, theatre studies, economic history, and musicology. The essays provide an introduction to diverse aspects of early film sound: vocal performance, from lecturing and reciting, to voicing the drama; music, from the forerunners of music for visual spectacle to the impact of legislation and the development of film music practice; and performance in cinemas more generally, from dancing and singalong films, to live stage prologues, and even musical performances captured in British Pathe's early sound shorts. Other topics include the sonic eclecticism of performances at the Film Society, British International Pictures' first synchronized sound films, and the role of institutions such as the Musicians' Union and the Performing Right Society in relation to cinema music and musicians. In addition to tackling these familiar topics from surprising new angles, The Sounds of the Silents in Britain also debunks some of the myths about the sonic dimension of film exhibition. For example, the book reveals that local venue licensing decisions had a profound effect on whether music could even be performed with film in some British performances spaces and cities, and that the same was true of live acts alongside film - even into the late 1920s. The books also bring to light the fact that, in terms of special film presentation and orchestral accompaniment, practices in London were arguably more sophisticated than those in New York before the onset of World War I; that lecturing to film in Aberdeen, Scotland had almost as long a life as Japanese benshi; and that the London Film Society was as eclectic in its approach to sound as it was in programming the films themselves. Filled with both archival research and sound musicological analysis, The Sounds of the Silents in Britain represents an important addition to early film and film music scholarship.
A speech for the defence in a Paris murder trial, a road-safety slogan, Hobbes' political theory; each appeals to reason of a kind, but it remains an oblique and rhetoricalldnd. Each relies on comparisons rather than on direct statements, and none can override or supersede the conclusions of ethical reasoning proper. Nevertheless, just as slogans may do more for road safety than the mere recital of accident statistics, or of the evidence given at coroners' inquests, so the arguments of a Hobbes or a Bentham may be of greater practical effect than the assertion of genuinely ethical or political statements, however true and relevant these may be. Stephen Toulmin, Reason in Ethics, 1950. The International Colloquium on Cognitive Science (ICCS), held in Donostia - San Sebastian every two years since 1989, has become one of the most important plazas for cognitive scientists in Europe to present the results of their research and to exchange ideas. The seventh edition, co-organized as usual by the Institute for Logic, Cognition, Language, and Information (ILCLI) and the Department of Logic and Philosophy of Science, both from the University of the Basque Country, took place from May 9 to 12, 200 1, addressing the following main topics: 1. Truth: Epistemology and Logic. 2. Rationality in a Social Setting. 3. Music, Language, and Cognition. Vlll TRUTH, RATIONALITY, COGNITION, AND MUSIC 4. The Order of Discourse: Logic, Pragmatics, and Rhetoric.
Although research in music psychology, education and therapy has expanded exponentially in the 21st century, there is something of a 'black hole' around which much of the discourse circles: music itself. While writers have largely been occupied with what people think about musical engagement, the little musical analysis that exists has tended to be at a low level compared to the sophisticated non-musical exploration that is present. This highlights the tenuous connection between musical enquiry in the context of the humanities and that occurring within the social sciences, the one exception being the partial intersection of music theory and psychology. Here, however, progress has largely been in one direction, with something of the objectivity that characterizes psychological research reading across to music analysis, and taking the form of what has been called 'empirical musicology'. 'Applied Musicology' takes a further, reciprocal step, in which certain of the techniques of empirical musicology (in particular, the author's 'zygonic' theory) are used to inform thinking in the domains of music-psychological, educational and therapeutic research. Within the book, the authors sketches out a new, interdisciplinary sphere of endeavour, for which the term 'applied musicology' is coined. The book adopts a phenomenological, inductive approach, using the analysis of hundreds of real-life examples of musical engagement and interaction in order to build new theories of musical intentionality and influence, and to shed new light on our understanding of aspects of music perception and cognition. Intended for those in the fields of music psychology, music education, and musicology, Applied Musicology will lay the foundations upon which a new category of interdisciplinary work will be built.
Chances and Choices: Exploring the Impact of Music Education considers the aims and impact of formative musical experiences, evaluating the extent to which music education of various kinds provides a foundation for lifelong involvement and interest in music. The discussion draws upon rich qualitative data, in which over 100 adults with an active interest in music reflect upon the influences and opportunities that shaped their musical life histories. Pitts addresses the relationship between the claims made for music education, the practice and policy through which those aims are filtered, and the recollections of the lived experiences of learning music in a variety of contexts. This consideration of school music is set in the broader context of learning in the home and community, and illustrates the circumscribed yet immensely powerful role that music teachers and other potential role models can play in nurturing open-minded, active musicians. The four central chapters focus on generational change in home and school experiences of music; the locations in which musical learning takes place, including cross-cultural comparisons; the characteristics of teachers, parents and others as musical mentors and role models; and the lifelong outcomes of musical engagement for performers, teachers, listeners and adult learners. This analysis is then used to illuminate the claims made for music education in historical and contemporary debate, and to propose ways in which school music might better prepare young people for lifelong engagement in music. Poised to shed new light on the long-term effects of music education, this book is an important resource to understand how we can encourage lifelong involvement with music and general engagement in cultural activities in every individual.
The music of Maurice Ravel (1875-1937), beloved by musicians and
audiences since its debut, has been a difficult topic for scholars.
The traditional stylistic categories of impressionism, symbolism,
and neoclassicism, while relevant, have offered too little purchase
on this fascinating but enigmatic work. In Ravel the Decadent,
author Michael Puri provides an innovative and productive solution
by locating the aesthetic origins of this music in the French
Decadence and demonstrating the extension of this influence across
the length of his oeuvre. From an array of Decadent topics Puri
selects three--memory, sublimation, and desire--and uses them to
delineate the content of this music, pinpoint its overlap with
contemporary cultural discourse, and link it to its biographical
context, as well as to create new methods altogether for the
analysis and interpretation of music.
This book shows how information theory, probability, statistics, mathematics and personal computers can be applied to the exploration of numbers and proportions in music. It brings the methods of scientific and quantitative thinking to questions like: What are the ways of encoding a message in music and how can we be sure of the correct decoding? How do claims of names hidden in the notes of a score stand up to scientific analysis? How many ways are there of obtaining proportions and are they due to chance? After thoroughly exploring the ways of encoding information in music, the ambiguities of numerical alphabets and the words to be found "hidden" in a score, the book presents a novel way of exploring the proportions in a composition with a purpose-built computer program and gives example results from the application of the techniques. These include information theory, combinatorics, probability, hypothesis testing, Monte Carlo simulation and Bayesian networks, presented in an easily understandable form including their development from ancient history through the life and times of J. S. Bach, making connections between science, philosophy, art, architecture, particle physics, calculating machines and artificial intelligence. For the practitioner the book points out the pitfalls of various psychological fallacies and biases and includes succinct points of guidance for anyone involved in this type of research. This book will be useful to anyone who intends to use a scientific approach to the humanities, particularly music, and will appeal to anyone who is interested in the intersection between the arts and science.With a foreword by Ruth Tatlow (Uppsala University), award winning author of Bach's Numbers: Compositional Proportion and Significance and Bach and the Riddle of the Number Alphabet."With this study Alan Shepherd opens a much-needed examination of the wide range of mathematical claims that have been made about J. S. Bach's music, offering both tools and methodological cautions with the potential to help clarify old problems." Daniel R. Melamed, Professor of Music in Musicology, Indiana University |
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