"A fascinating and genuinely accessible guide....Educating, enjoyable, and delightfully unscary."—Classical Music What if Bach and Mozart heard richer, more dramatic chords than we hear in music today? What sonorities and moods have we lost in playing music in "equal temperament"—the equal division of the octave into twelve notes that has become our standard tuning method? Thanks to How Equal Temperament Ruined Harmony, "we may soon be able to hear for ourselves what Beethoven really meant when he called B minor 'black'" (Wall Street Journal).In this "comprehensive plea for more variety in tuning methods" (Kirkus Reviews), Ross W. Duffin presents "a serious and well-argued case" (Goldberg Magazine) that "should make any contemporary musician think differently about tuning" (Saturday Guardian). Some images in the ebook are not displayed owing to permissions issues.

A captivating look at how musical temperament evolved, and how we could (and perhaps should) be tuning differently today.

"A fascinating and genuinely accessible guide....Educating, enjoyable, and delightfully unscary."—Classical Music What if Bach and Mozart heard richer, more dramatic chords than we hear in music today? What sonorities and moods have we lost in playing music in "equal temperament"—the equal division of the octave into twelve notes that has become our standard tuning method? Thanks to How Equal Temperament Ruined Harmony, "we may soon be able to hear for ourselves what Beethoven really meant when he called B minor 'black'" (Wall Street Journal).In this "comprehensive plea for more variety in tuning methods" (Kirkus Reviews), Ross W. Duffin presents "a serious and well-argued case" (Goldberg Magazine) that "should make any contemporary musician think differently about tuning" (Saturday Guardian).

Few music lovers realize that the arrangement of notes on today’s pianos was once regarded as a crime against God and nature, or that such legendary thinkers as Pythagoras, Plato, da Vinci, Galileo, Kepler, Descartes, Newton and Rousseau played a role in the controversy. Indeed, from the time of the Ancient Greeks through the eras of Renaissance scientists and Enlightenment philosophers, the relationship between the notes of the musical scale was seen as a key to the very nature of the universe. In this engaging and accessible account, Stuart Isacoff leads us through the battles over that scale, placing them in the context of quarrels in the worlds of art, philosophy, religion, politics and science. The contentious adoption of the modern tuning system known as equal temperament called into question beliefs that had lasted nearly two millenia–and also made possible the music of Beethoven, Schubert, Chopin, Debussy, and all who followed. Filled with original insights, fascinating anecdotes, and portraits of some of the greatest geniuses of all time, Temperament is that rare book that will delight the novice and expert alike.

Tuning, Timbre, Spectrum, Scale focuses on perceptions of consonance and dissonance, and how these are dependent on timbre. This also relates to musical scale: certain timbres sound more consonant in some scales than others. Sensory consonance and the ability to measure it have important implications for the design of audio devices and for musical theory and analysis. Applications include methods of adapting sounds for arbitrary scales, ways to specify scales for nonharmonic sounds, and techniques of sound manipulation based on maximizing (or minimizing) consonance. Special consideration is given here to a new method of adaptive tuning that can automatically adjust the tuning of a piece based its timbral character so as to minimize dissonance. Audio examples illustrating the ideas presented are provided on an accompanying CD. This unique analysis of sound and scale will be of interest to physicists and engineers working in acoustics, as well as to musicians and psychologists.

Musical Mathematics is the definitive tome for the adventurous musician. Integrating mathematics, music history, and hands-on experience, this volume serves as a comprehensive guide to the tunings and scales of acoustic instruments from around the world. Author, composer, and builder Cris Forster illuminates the mathematical principles of acoustic music, offering practical information and new discoveries about both traditional and innovative instruments.With this knowledge readers can improve, or begin to build, their own instruments inspired by Forster's creationsshown in 16 color plates. For those ready to step outside musical conventions and those whose curiosity about the science of sound is never satisfied, Musical Mathematics is the map to a new musical world.

The oboe, including its earlier forms the shawm and the hautboy, is an instrument with a long and rich history. In this book two distinguished oboist-musicologists trace that history from its beginnings to the present time, discussing how and why the oboe evolved, what music was written for it, and which players were prominent. Geoffrey Burgess and Bruce Haynes begin by describing the oboe’s prehistory and subsequent development out of the shawm in the mid-seventeenth century. They then examine later stages of the instrument, from the classical hautboy to the transition to a keyed oboe and eventually the Conservatoire-system oboe. The authors consider the instrument’s place in Romantic and Modernist music and analyze traditional and avant-garde developments after World War II. Noting the oboe’s appearance in paintings and other iconography, as well as in distinctive musical contexts, they examine what this reveals about the instrument’s social function in different eras. Throughout the book they discuss the great performers, from the pioneers of the seventeenth century to the traveling virtuosi of the eighteenth, the masters of the romantic period and the legends of the twentieth century such as Gillet, Goossens, Tabuteau, and Holliger. With its extensive illustrations, useful technical appendices, and discography, this is a comprehensive and authoritative volume that will be the essential companion for every woodwind student and performer.