Essay on Musical Intervals, Harmonics, and the Temperament of the Musical Scale, and C - Primary Source Edition
Essay on Musical Intervals, Harmonics, and the Temperament of the Musical Scale, and C - Primary Source Edition

Author: Wesley Stoker B. Woolhouse

Publisher: Nabu Press

Published: 2014-02

Total Pages: 100

ISBN-13: 9781295705870

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This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

Abstract Musical Intervals
Abstract Musical Intervals

Author: Ming Tsao

Publisher: Lulu.com

Published: 2007

Total Pages: 172

ISBN-13: 1430308354

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This book is an introduction to GIS (Generalized Interval Systems) theory that includes the major results of pitch-class theory. It provides mathematicians with applications of group theory to music and music theorists with the essential connections between GIS theory and pitch-class theory. Many of the results in pitch-class theory are not addressed by David Lewin (such as power functions or the Common Tone Theorem for inversions). The book states those results and generalizes them to conform with GIS theory. Finally, it addresses recent criticisms leveled at pitch-class theory and suggests how they can be addressed in GIS theory.