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An Autobiographical Prelude
A Brief Look Around
Simple Vibrating Systems
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amount amplitude balls beat bell bore bottle brass instruments bration bugle C. G. Conn cavity cavity resonator chapter chromatic scale clarinet closed cone damping diagram diameter drilled effect experiments Figure finger flute forces frequency ratios fundamental give hammer hear higher modes horn inches ingredients instru keyboard instruments length lips loudness lower lowest mode ment middle mode frequencies modes of vibration mouthpiece musical instruments musicians natural frequency normal modes oboe octave open holes orchestral oscillation pedal note pendulum physicists physics piano pipe piston pitch interval played player plucked position privileged notes properties quency radiation reed system relation resonance saxophone semitones shape shown shows side holes simple harmonic motion slide solder sort sound struments swing tension things tion tone color tone quality trombone trumpet tubing tuning valve vibration recipe vibrational frequencies vibrational modes violin wind instruments woodwinds