On Sound and Atmospheric Vibrations, with the Mathematical Elements of Music: Designed for the Use of Students of the UniversityMacmillan, 1871 - 279 pages |
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Adeste fideles Algebra applied Article 98 bell Cambridge changes cloth coefficient College concord Crown 8vo d²R density depending diatonic scale direction distance disturbance divergent wave dR dr dr² dx dx dx dy dz dx² Edition effect elastic force elastic pressure elementary equation of Article experiments expression factor fcap function fundamental note give gravity harmonics Hence increased integral interval investigation key-note length mètres motion musical note number of vibrations Octave ordinate organ-pipe original oscillation Partial Differential Equations pendulum pendulum-bob perfect Fifths periodical function pipe plane wave produced prong proportion quantity radius reed reed-tongue remarked represented semitones shews similar solution specific gravity sphere string student Suppose surface theory tion tone TREATISE tube tuning-fork velocity of sound vibrations of air wave of air wire y²+z²