The Theory of Sound, Volume 1

absolute pitch Acoustics amplitude application approximately arbitrary boundary calculated circular clamped coefficients component configuration considered constant corresponding cosh Crown 8vo curve denote depends determined diatonic scale differential equation displacement dx² Edition effect ellipse equal equal temperament equation of motion equilibrium example expressed finite forced vibration free vibrations frequency friction given harmonic vibrations inertia initial integral interval isochronism kinetic energy length load mass membrane natural periods nodal nodal lines nodes normal co-ordinates normal functions obtained octave phase pitch plane plate position potential energy prongs quadratic function quantities quarter period ratio represented result roots shews simple harmonic solution sound square string suppose tension theorem theory tion tuning fork type of vibration vanish velocity Y₁ zero