One of the most influential collections of music ever published, Style and Idea includes Schoenberg’s writings about himself and his music as well as studies of many other composers and reflections on art and society.

    Recent technological advances allow us to probe and manipulate these pinpoints of sound, dissolving the traditional building blocks of music--notes and their intervals--into a more fluid and supple medium. The sensations of point, pulse (series of points), line (tone), and surface (texture) emerge as particle density increases. Sounds coalesce, evaporate, and mutate into other sounds. Composers have used theories of microsound in computer music since the 1950s. Distinguished practitioners include Karlheinz Stockhausen and Iannis Xenakis. Today, with the increased interest in computer and electronic music, many young composers and software synthesis developers are exploring its advantages. Covering all aspects of composition with sound particles, Microsound offers composition theory, historical accounts, technical overviews, acoustical experiments, descriptions of musical works, and aesthetic reflections.

    In "Musimathics," Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music -- a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science.In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself "a composer seduced into mathematics," Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio.Additional material can be found at http: //www.musimathics.com.

    It bridges the gap between the natural sciences and music theory and, nearly a century after its first publication, it is still a standard text for the study of physiological acoustics — the scientific basis of musical theory. It is also a treasury of knowledge for musicians and students of music and a major work in the realm of aesthetics, making important contributions to physics, anatomy, and physiology in its establishment of the physical theory of music. Difficult scientific concepts are explained simply and easily for the general reader.The first two parts of this book deal with the physics and physiology of music. Part I explains the sensation of sound in general, vibrations, sympathetic resonances, and other phenomena. Part II cover combinational tones and beats, and develops Helmholtz's famous theory explaining why harmonious chords are in the ratios of small whole numbers (a problem unsolved since Pythagoras).Part III contains the author's theory on the aesthetic relationship of musical tones. After a survey of the different principles of musical styles in history (tonal systems of Pythagoras, the Church, the Chinese, Arabs, Persians, and others), he makes a detailed study of our own tonal system (keys, discords, progression of parts).Important points in this 576-page work are profusely illustrated with graphs, diagrams, tables, and musical examples. 33 appendices discuss pitch, acoustics, and music, and include a very valuable table and study of the history of pitch in Europe from the fourteenth to the nineteenth centuries.

    The disruptions of the war, and the struggles of the ensuing peace, were reflected in the music of the time: in Pierre Boulez's radical re-forming of compositional technique and in John Cage's move into zen music, in Milton Babbitt's settling of the serial system, and in Dmitry Shostakovich's unsettling symphonies, in Karlheinz Stockhausen's development of electronic music and in Luigi Nono's pursuit of the universally human, in Iannis Xenakis's view of music as sounding mathematics and in Luciano Berio's consideration of it as language. The initiatives of these composers and their contemporaries opened prospects that have continued to unfold. This constant expansion of musical thinking since 1945 has left us with no single history of music. We live' as Griffiths says, among many simultaneous histories'. His study accordingly follows several different paths, showing how they converge and diverge.

    Karlheinz Stockhausen once asked the composer what his -secret- was: -I don't push the sounds around, - Feldman replied. His writings resemble his music in their quiet steadiness, their oscillations between assertion and doubt. They are also funny and illuminating, not only about his own music but about the entire New York School of painters, poets and composers that coalesced in the 1950s, including Feldman's friends Jackson Pollock, Philip Guston, Mark Rothko, Robert Rauschenberg, Frank O'Hara and John Cage. Give My Regards to Eighth Street is an authoritative collection of Feldman's writings, culled from published articles, program notes, LP liners, lectures, interviews and unpublished writings. It is one of those rare books from which anyone can draw inspiration, no matter what the vocation or discipline.

    Having lived mostly in the remote deserts of Arizona and New Mexico with no access to formal training, Partch naturally created theatrical ritualistic works incorporating Indian chants, Japanese kabuki and Noh, Polynesian microtones, Balinese gamelan, Greek tragedy, dance, mime, and sardonic commentary on Hollywood and commercial pop music of modern civilization. First published in 1949, Genesis of a Music is the manifesto of Partch's radical compositional practice and instruments (which owe nothing to the 300-year-old European tradition of Western music.) He contrasts Abstract and Corporeal music, proclaiming the latter as the vital, emotionally tactile form derived from the spoken word (like Greek, Chinese, Arabic, and Indian musics) and surveys the history of world music at length from this perspective. Parts II, III, and IV explain Partch's theories of scales, intonation, and instrument construction with copious acoustical and mathematical documentation. Anyone with a musically creative attitude, whether or not familiar with traditional music theory, will find this book revelatory.

    From using microphones to deciding on EQ settings, choosing outboard gear to understanding how, when and why to process your signal, the seemingly never-ending choices can be very confusing. Professional Audio's bestselling author Bobby Owsinski (The Mixing Engineer's Handbook, The Mastering Engineer's Handbook) takes you into the tracking process for all manner of instruments and vocals-- providing you with the knowledge and skill to make sense of the many choices you have in any given project. From acoustic to electronic instruments, mic placement to EQ settings, everything you need to know to capture professionally recorded audio tracks is in this guide.

    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

     W. A. Mathieu, an accomplished author and recording artist, presents a way of learning music that reconnects modern-day musicians with the source from which music was originally generated. As the author states, "The rules of music--including counterpoint and harmony--were not formed in our brains but in the resonance chambers of our bodies." His theory of music reconciles the ancient harmonic system of just intonation with the modern system of twelve-tone temperament. Saying that the way we think music is far from the way we do music, Mathieu explains why certain combinations of sounds are experienced by the listener as harmonious. His prose often resembles the rhythms and cadences of music itself, and his many musical examples allow readers to discover their own musical responses.

    Why is it better to buy a lottery ticket on a Friday? Why are showers always too hot or too cold? And what's the connection between a rugby player taking a conversion and a tourist trying to get the best photograph of Nelson's Column?These and many other fascinating questions are answered in this entertaining and highly informative book, which is ideal for anyone wanting to remind themselves – or discover for the first time – that maths is relevant to almost everything we do.Dating, cooking, travelling by car, gambling and even life-saving techniques have links with intriguing mathematical problems, as you will find explained here. Whether you have a PhD in astrophysics or haven't touched a maths problem since your school days, this book will give you a fresh understanding of the world around you.

    This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".

    Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science. He explores the relationship between Newton and Leibniz, the men behind the calculus; looks at how the mathematics that Euler invented 200 years ago paved the way for the internet and discovers how Fourier transformed our understanding of heat, light and sound. In addition, he finds out how Galois’ mathematics describes the particles that make up our universe, how Gaussian distribution underpins modern medicine, and how Riemann’s maths helped Einstein with his theory of relativity. Finally, he introduces Cantor, who discovered infinite numbers; Poincaré, whose work gave rise to chaos theory; G.H. Hardy, whose work inspired the millions of codes that help to keep the internet safe, and Nicolas Bourbaki, the mathematician who never was. The BBC Radio 4 series looking at the people who shaped modern mathematics, written and presented by Marcus du Sautoy. 1 CDs, 150 minutes

    Rather than offering a history of contemporary music, Audio Culture traces the genealogy of current musical practices and theoretical concerns, drawing lines of connection between recent musical production and earlier moments of sonic experimentation. It aims to foreground the various rewirings of musical composition and performance that have taken place in the past few decades and to provide a critical and theoretical language for this new audio culture. Via writings by philosophers, cultural theorists, and composers, Audio Culture explores the interconnections among such forms as minimalism, indeterminacy, musique concrète, free improvisation, experimental music, avant-rock, dub reggae, Ambient music, HipHop, and Techno. Instead of focusing on the putative "crossover" between "high art" and "popular culture," Audio Culture takes all of these musics as experimental practices on par with, and linked to, one another. While cultural studies has tended to look at music (primarily popular music) from a sociological perspective, the concern here is philosophical, musical, and historical. Audio Culture includes writing by some of the most important musical thinkers of the past half-century, among them John Cage, Brian Eno, Glenn Gould, Umberto Eco, Ornette Coleman, Jacques Attali, Simon Reynolds, Pauline Oliveros, Paul D. Miller, David Toop, John Zorn, Karlheinz Stockhausen, and many others. The book is divided into nine thematically-organized sections, each with its own introduction. Section headings include topics such as "Modes of Listening," "Minimalisms," and "DJ Culture." In addition, each essay has its own short introduction, helping the reader to place the essay within musical, historical, and conceptual contexts. The book concludes with a glossary, a timeline, and an extensive discography.

    Practice is everything. But exactly what is good practice? How does good practice create talent? And what in the world does a pinwheel have to do with practice? The focus of this book is music practice, but these techniques and mindsets can be applied to any skill you want to improve. This book covers essential practice strategies and mindsets you won’t find in any other book. Drawn from in-depth interviews with world-class professional musicians across several genres of music, published research, and personal experience with practice. You’ll learn the What, Why, When, Where, Who, and especially the How of great music practice. You’ll learn what research tells us about practice, but more importantly, you’ll learn how great musicians in many genres of music think about practice, and you’ll learn the strategies and techniques they use to improve. This book will help you get better faster, whether you play rock, Bach, or any other kind of music. Whatever instrument you want to play, The Practice of Practice will help you get the most out of your practice. This book will help you become more savvy about getting better. It will also help you be a more informed teacher or a more effective parent of a young learner. Don’t practice longer, practice smarter.