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CONTENTS. |
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CHAPTER VI.
ON THE CONNEXION BETWEEN QUALITY AND MODE OF VIBRATION.
Composition of vibrations, §§ 70, 71—Phase of a vibration ; non-dependence of quality on differences of phase among partial-tones, § 72—Simple and resultant wave-forms; Fourier's theorem, § 73.
PP. 139—150 |
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CHAPTER VII.
ON THE INTERFERENCE OF SOUND, AND ON 'BEATS.'
Composition of vibrations of equal periods, § 74—Two sounds producing silence, § 75—Beats of simple tones, § 76—Graphic representation of beats, § 77—Experimental study of beats, § 78.
PP. 151—163 |
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CHAPTER VIII.
ON CONCORD AND DISCORD.
Helmholtz's discovery of the nature of dissonance ; conditions under which it may arise between two simple tones, § 79—Mode of determining the whole dissonance produced by two composite sounds, § 80—Classification of the tonic intervals of the scale, according to their freedom from dissonance, §§ 81-86—Picture of amounts of dissonance for all intervals not wider than one Octave, § 87—Consonance dependent on quality, § 88—Apparent objection to Helmholtz's theory of quality, § 89—Combination-tones, § 90—Their use in defining certain consonant intervals for simple tones, § 91—Divergence from the views of musical theorists, § 92—Dissonance due to combination-tones produced between the partial-tones of clangs forming a given interval, § 93.
PP. 164—186 |
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