## The Theory of Sound, Volume 1 |

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absolute pitch amplitude application approximately axis boundary calculated centre circle circular clamped coefficients component vibrations configuration consider corresponding cosh curve denote depends determined diatonic scale differential equation displacement effect ellipse equal equal temperament equation of motion equilibrium expressed finite fixed force acting forced vibration free vibrations frequency friction given gravest tone harmonic function harmonic vibrations impressed force inertia infinite initial integral internal roots interval isochronism kinetic energy length load longitudinal mass maximum membrane modes of vibration nodal lines nodal system nodes normal co-ordinates normal functions obtained octave phase pitch plane plate positive potential energy problem quadratic function quantities quarter period radius ratio represented result satisfied shews simple harmonic sinh solution sound square string suppose tension theorem theory tion tuning fork type of vibration vanish velocity wave Young's modulus zero