CONTENTS.

. All passages and notes in [ ] are due to the translator, and the author is in no way responsible for their contents.

TRANSLATOR’S NOTICE TO THE SECOND ENGLISH EDITION, p. v.
AUTHOR’S PREFACE TO THE FIRST GERMAN EDITION, p. vi.
AUTHOR’S PREFACE TO THE THIRD GERMAN EDITION, pp. vi.–vii.
AUTHOR’S PREFACE TO THE FOURTH GERMAN EDITION, p. viii.
CONTENTS, p. ix.
LIST OF FIGURES, p. xv.
LIST OF PASSAGES IN MUSICAL NOTES, p. xvi.
LIST OF TABLES, p. xvii.

INTRODUCTION, pp. 1–6.
Relation of Musical Science to Acoustics, 1
Distinction between Physical and Physiological Acoustics, 3
Plan of the Investigation, 4

PART I. (pp. 7–151).

ON THE COMPOSITION OF VIBRATIONS.

Upper Partial Tones, and Qualities of Tone.

CHAPTER I. ON THE SENSATION OF SOUND IN GENERAL, pp. 8–25.

Distinction between Noise and Musical Tone, 8
Musical Tone due to periodic, Noise to non-periodic motions in the air, 8
General Property of Undulatory Motion: while waves continually advance, the particles of the medium through which they pass execute periodic motions, 9
Differences in musical tones due to force, pitch, and quality, 10
Force of tone depends on amplitude of oscillation; pitch on the length of the period of oscillation, 10–14
Simple relations of vibrational numbers for the consonant intervals, 14
Vibrational numbers of consonant intervals calculated for the whole scale, 17
Quality of tone must depend on vibrational form, 19
Conception of and graphical representation of vibrational form, 20
Harmonic upper partial tones, 22
Terms explained: Tone, Musical Tone, Simple Tone, Partial Tone, Compound Tone, Pitch of Compound Tone, 23

CHAPTER II. ON THE COMPOSITION OF VIBRATIONS, pp. 25–36.

Composition of waves illustrated by waves of water, 25
The heights of superimposed waves of water are to be added algebraically, 27
Corresponding superimposition of waves of sound in the air, 28