On the Sensations of Tone as a Physiological Basis for the Theory of Music

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Courier Corporation, 1954 - Music - 576 pages
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On the Sensations of Tone is one of the world's greatest scientific classics. 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.

 

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Contents

INTRODUCTION pp
1
ON THE COMPOSITION OF VIBRATIONS
7
ON THE COMPOSITION OF VIBRATIONS pp 2536
25
ANALYSIS OF MUSICAL TONES BY SYMPATHETIC RESONANCE
36
Description of Resonators for the more accurate Analysis of Musical Tones
43
Os THE ANALYSIS OF MUSICAL TONES BY THE EAR pp 4965
49
ON THE DIFFERENCES IN THE QUALITY OP MUSICAL TONES
65
Results for the Character of Musical Tones in general
118
THK RELATIONSHIP OF MUSICAL TONES
234
THE TONALITY OF HOMOPHONIC Music pp 250 290
250
THE CONSONANT CHORDS OF THE TONAL MODES pp 290
290
The Tonic Chord as the centre of the Sequence of Chords
296
Modern Remnants of the old Tonal Modes
306
OF DISCORDS pp 3335
330
LAWS OP PROGRESSION OF PARTS pp 350362
350
ESTHETICAL RELATIONS pp 362371
362

ON THE INTERRUPTIONS OF HARMONY
152
ON THE BEATS OF SIMPLE TONES pp 159173
159
DEEP AND DEEPEST TONES pp 174179
174
BEATS DUE TO COMBINATIONAL TONES pp 197211
197
CHORDS pp 211233
211
APPENDICES pp 327556
372
Variation in the Pitch of Simple Tones that Beat
414
Additions by the Translatorcontinued
434
INDEX 557576
557
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