On Sound and Atmospheric Vibrations, with the Mathematical Elements of Music: Designed for the Use of Students of the UniversityMacmillan, 1871 - 279 Seiten |
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Article 21 Article 37 at-x atmosphere bell changes coefficient concord cubic centimetre d dx dy density depending diatonic scale direction displacement distance disturbance divergent wave dR dr dr² dx dx dx dy dz dx² dy dX dY dY dz dx dy elastic force elastic pressure equation of Article experiments expression factor function fundamental note give gravity harmonics Hence inches increased integral interval investigation key-note length mercury motion musical note number of vibrations Octave organ-pipe original ordinate parallelopiped Partial Differential Equations particles of air pendulum perfect Fifths pipe plane wave plane xy produced proportion reed reed-tongue remarked represented shews similar solution specific gravity string Suppose surface temperature theory tion tone tube tuning-fork velocity of sound vibrations of air vocal ligaments vowel-sound wave of air weight wire y²+z² ηθα ппх
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Seite iii - With the Mathematical Elements of Music. Designed for the Use of Students in the University. Second Edition, Revised and Enlarged. Crown 8vo. gs. A TREATISE OF MAGNETISM. Designed for the Use of Students in the University.
Seite 235 - God save our gracious Queen, Long live our noble Queen, God save the Queen: Send her victorious, Happy and glorious, Long to reign over us: God save the Queen.
Seite 203 - In the section on open organ-pipes he says : — "It was found by Mr. Hopkins that the node next the open mouth of the pipe was somewhat less distant from it than that given by theory, or, which amounts to the same thing, that the place where the air has always the same density as the external air is not exactly at the pipe's mouth but somewhat exterior to it.
Seite 23 - ... the particles at successive equal intervals of time, it is plain that we have states of condensation and states of rarefaction travelling on continually without limit, in one direction; while the motion of every individual particle is extremely small, and is alternately backwards and forwards. And this is the conception of a wave as depending on the...
Seite 142 - Airy remarks that the acceleration arising from the greater displacement ef the particles could not possibly have amounted to 200 feet; and he seems to consider the phenomenon entirely physiological. Hu says that when a violent or sudden noise is heard, it is preceded by the perception of a shock throughout the bodily frame. This shock must have been mistaken for the sound itself.
Seite 22 - The theory of the transmission of sound through the air (as well as through other bodies) is essentially founded upon the conception of the transmission of waves, in which the nature of the motion is such, that the movement of every particle is limited, while the law of relative movement of neighbouring particles is transmitted to an unlimited distance, either without change or with change following a definite law.
Seite 197 - Prof. Airy is as evidently dissatisfied with the state of theory and experiment, using such phrases as these : " the matter, however, demands more complete explanation;" "that obscure subject, the production of musical vibrations in a pipe by a simple blast of air;" " possibly when the mathematical calculus is farther advanced, this may be shown,
Seite 38 - ... Plane Wave of three dimensions (Airy's Sound and Atmospheric Vibrations, p. 38). " If we have a great number of pipes side by side with waves of a similar character passing simultaneously through all, so that the collateral condensations and pressures of air in the adjacent pipes will be the same, there will be no tendency of the air in one pipe to press sideways into another pipe ; we may therefore remove the material boundaries of these pipes, and then we have air, extended in three dimensions...
Seite 137 - In the greatest part of the experiments, the observations have been those of the flash and the report of a distant cannon. The...
Seite 257 - ... of this character is to roll round the end of a glass tube a strip of thin india-rubber, leaving about an inch of the substance projecting beyond the end of the tube. Taking two opposite portions of the projecting rubber in the fingers, and stretching it, a slit is formed, the blowing through which produces a musical sound, which varies in pitch, as the sides of the slit vary in tension.