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Acoustical air column air molecules atoms average balls bass Boyle's Law Brownian motion called cavity resonance cello century chance chromatic scale collisions contrabass crank Demon density diffusion direction displacement distance elastic electrons entropy example experiment force frequency fundamental fundamental frequency George Gamow harmonic heat instruments James Clerk Maxwell kinetic theory large number liquid machine mass mathematical Maxwell's Maxwell's Demon mechanical medium ment method moving musical scale nodes notes number of molecules octave overtones particles perpetual motion physicist physics picture pitch plane wave plate played possible potential energy prediction pressure probability problem produced pulse random numbers ratio reflected result Saunders scientific scientist sound waves specks speed statistical steam engine string surface temperature theory of gases thermodynamics tion tone tossing transverse waves tube tuned University velocity vertical viola vibrating viola violin family volume wave front