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PREFACE TO THE THIRD EDITION

PREFACE TO THE FIRST EDITION

CHAPTER I

§ 1. Introduction: Character of Sonorous Motion. Experimental Illustrations

§ 2. Experiments in Vacuo, in Hydrogen, and on Mountains

§ 3. Intensity of Sound. Law of Inverse Squares

§ 4. Confinement of Sound-waves in Tubes

§ 5. The Reflection of Sound. Resemblances to Light

§ 6. Refraction of Sound

§ 7. Diffraction of Sound: illustrations offered by great Explosions

§ 8. Velocity of Sound: relation to Density and Elasticity of Air

§ 9. Theoretic Velocity calculated by Newton Laplace’s Correction

§ 10. Ratio of Specific Heats of Air deduced from Velocity of Sound

§ 11. Mechanical Equivalent of Heat deduced from Velocity of Sound

§ 12. Absence of Radiative Power of Air deduced from Velocity of Sound

§ 13. Velocity of Sound through Gases, Liquids, and Solids

§ 14. Hooke’s Anticipation of the Stethoscope

NOTE ON THE DIFFRACTION OF SOUND

SUMMARY OF CHAPTER I

CHAPTER II

§ 2. Musical Sounds produced by Taps

§ 3. Musical Sounds produced by Puffs

§ 4. Musical Sounds produced by a Tuning-fork

§ 5. The Waves of Sound

§ 6. Definition of Pitch: Determination of Rates of Vibration

§ 7. The Siren: Analysis of the Instrument

§ 8. Determination of Wave-lengths: Time of Vibration

§ 9. Definition of an Octave

§ 10. Limits of the Ear; and of Musical Sounds

§ 11. Drum of the Ear. The Eustachian Tube

§ 12. Helmholtz’s Double Siren

§ 13. Transmission of Musical Sounds by Liquids and Solids

SUMMARY OF CHAPTER II

CHAPTER III

§ 1. Vibrations of Strings: Use of Sound-Boards

§ 2. Laws of Vibrating Strings

§ 3. Mechanical Illustrations of Vibrations. Progressive and Stationary Waves. Ventral Segments and Nodes

§ 4. Mechanical Illustrations of Damping Various Points of Vibrating Cord

§ 5. Stationary Water-waves

§ 6. Application of Mechanical Illustrations to Musical Strings

§ 7. Melde’s Experiments

§ 8. New Mode of determining the Laws of Vibration

HARMONIC SOUNDS OR OVERTONES

§ 9. Timbre; Klangfarbe; Clang-tint

§ 10. Mingling of Overtones with Fundamental. The Æolian Harp

§ 11. Young’s Optical Illustrations

SUMMARY OF CHAPTER III

CHAPTER IV

§ 1. Transverse Vibrations of a Rod fixed at Both Ends

§ 2. Transverse Vibrations of a Rod fixed at One End

§ 3. Chladni’s Tonometer: the Iron Fiddle, Musical Box, and the Kaleidophone

§ 4. Transverse Vibrations of a Rod free at Both Ends. The Claque-bois and Glass Harmonica

§ 5. Vibrations of a Tuning-fork

§ 6. Chladni’s Figures

§ 7. Vibrations of Square Plates: Nodal Lines

§ 8. Wheatstone’s Analysis of the Vibrations of Square Plates

§ 9. Vibrations of Circular Plates

§ 10. Strehlke and Faraday’s Experiments: Deportment of Light Powders

§ 11. Vibration of Bells: Means of rendering them visible

SUMMARY OF CHAPTER IV

CHAPTER V

§ 1. Longitudinal Vibrations of Wires and Rods: Conversion of Longitudinal into Transverse Vibrations

§ 2. Longitudinal Pulses in Iron and Brass: their Relative Velocities determined

§ 3. Longitudinal Vibrations of Rods fixed at One End: Musical Instruments formed on this Principle

§ 4. Vibrations of Rods free at Both Ends

§ 5. Fracture of Glass Tube by Sonorous Vibrations

§ 6. Action of Sonorous Vibrations on Polarized Light

§ 7. Vibrations of Rods of Wood: Determination of Relative Velocities in Different Woods

RESONANCE

§ 8. Experiments with Resonant Jars. Analysis and Explanation

§ 9. Reinforcement of Bell by Resonance

§ 10. Expenditure of Motion in Resonance

§ 11. Resonators of Helmholtz

ORGAN-PIPES

§ 12. Principles of Resonance applied to Organ-Pipes

§ 13. Vibrations of Stopped Pipes: Modes of Division: Overtones

§ 14. Vibrations of Open Pipes: Modes of Division: Overtones

§ 15. Velocity of Sound in Gases, Liquids, and Solids determined by Musical Vibrations

REEDS AND REED-PIPES

§ 16. The Voice

§ 17. Vowel Sounds

§ 18. Kundt’s Experiments: New Modes of determining Velocity of Sound

§ 19. Explanation of a Difficulty

ADDENDUM REGARDING RESONANCE

SUMMARY OF CHAPTER V

CHAPTER VI

§ 1. Rhythm of Friction: Musical Flow of a Liquid through a Small Aperture

§ 2. Musical Flames

§ 3. Experimental Analysis of Musical Flame

§ 4. Rate of Vibration of Flame: Toepler’s Experiment

§ 5. Harmonic Sounds of Flame

§ 6. Action of Extraneous Sounds on Flame: Experiments of Schaffgotsch and Tyndall

SENSITIVE NAKED FLAMES

§ 7. Discovery of Sensitive Flames by Le Conte

§ 8. Experiments on Fish-tail and Bat’s-wing Flames

§ 9. Experiments on Flames from Circular Apertures

§ 10. Seat of Sensitiveness

§ 11. Influence of Pitch

§ 12. The Vowel-flame

§ 13. Mr. Philip Harry’s Sensitive Flame

§ 14. Sensitive Smoke-jets

§ 15. Constitution of Liquid Veins: Sensitive Water-jets

SUMMARY OF CHAPTER VI

NAKED FLAMES

CHAPTER VII

PART I

PART II

NOTE

SUMMARY OF CHAPTER VII

CHAPTER VIII

§ 1. Interference of Water-Waves

§ 2. Interference of Sound

§ 3. Experimental Illustrations

§ 4. Interference of Waves from Organ-pipes

§ 5. Lissajous’s Illustration of Beats of Two Tuning-forks

§ 6. Interference of Waves from a Vibrating Disk. Hopkins’s and Lissajous’s Illustrations

§ 7. Quenching the Sound of one Prong of a Tuning-fork by that of the other

RESULTANT TONES

SUMMARY OF CHAPTER VIII

CHAPTER IX

§ 1. The Facts of Musical Consonance

§ 2. The Theory of Musical Consonance. Pythagoras and Euler

§ 3. Sympathetic Vibrations

§ 4. Sympathetic Vibration in Relation to the Human Ear

§ 5. Consonant Intervals in Relation to the Human Ear

§ 6. Graphic Representation of Consonance and Dissonance

§ 7. Composition of Vibrations

SUMMARY OF CHAPTER IX

APPENDICES

APPENDIX I

APPENDIX II

INDEX

Sound

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