Manual of Quarter-Tone Harmony


Book Description

The publication of the first available English translation of composer and microtonal theorist Ivan Wyschnegradsky's Manual of Quarter-Tone Harmony. This seminal work, originally published in 1932, posits the composer's methodology and usage of quarter tones as a harmonic language.Produced with the permission of Association Wyschnegradsky (Paris, France) and Wyschnegradsky's heir Dmitri Vysneyev, this new edition is edited and with a foreword by Noah Kaplan and translated into English by Rosalie Kaplan.




The Arithmetic of Listening


Book Description

"Tuning is the secret lens through which the history of music falls into focus," says Kyle Gann. Yet in Western circles, no other musical issue is so ignored, so taken for granted, so shoved into the corners of musical discourse. A classroom essential and an invaluable reference, The Arithmetic of Listening offers beginners the grounding in music theory necessary to find their own way into microtonality and the places it may take them. Moving from ancient Greece to the present, Kyle Gann delves into the infinite tunings available to any musician who feels straitjacketed by obedience to standardized Western European tuning. He introduces the concept of the harmonic series and demonstrates its relationship to equal-tempered and well-tempered tuning. He also explores recent experimental tuning models that exploit smaller intervals between pitches to create new sounds and harmonies. Systematic and accessible, The Arithmetic of Listening provides a much-needed primer for the wide range of tuning systems that have informed Western music. Audio examples demonstrating the musical ideas in The Arithmetic of Listening can be found at: https://www.kylegann.com/Arithmetic.html













How Equal Temperament Ruined Harmony (and Why You Should Care)


Book Description

"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.







Structural Functions of Harmony


Book Description

This book is Schoenberg's last completed theoretical work and represents his final thoughts on the subject of classical and romantic harmony. The earlier chapters recapitulate in condensed form the principles laid down in his 'Theory of Harmony'; the later chapters break entirely new ground, for they analyze the system of key relationships within the structure of whole movements and affirm the principle of 'monotonality, ' showing how all modulations within a movement are merely deviations from, and not negations of, its main tonality.







Tuning, Timbre, Spectrum, Scale


Book Description

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.