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Published byKristina Bunch Modified over 2 years ago

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Harmonic Series and Spectrograms

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220 Hz (A3) Why do they sound different? Instrument 1 Instrument 2Sine Wave

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Waveform Piano Guitar Sine Wave

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Overtones Overtones occur at integer multiples of the fundamental frequency when an object vibrates. The addition of these tones at regular intervals is musical to the human ear. Example: Fundamental (1 st Harmonic): 220Hz 1 st Overtone (2 nd Harmonic): 440Hz 2 nd Overtone (3 rd Harmonic): 660Hz

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PianoGuitar Spectrogram

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Modes of Vibration: Standing Waves

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Harmonic Motion

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Frequency Decomposition: Pure Sine Wave T = 2ms f = 1/T f = 500Hz

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Frequency Decomposition: Pure Sine Wave T = 1ms f = 1/T f = 1000Hz

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Composite Wave

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Waveform Piano Guitar Sine Wave

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Spectrogram: Piano

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Piano: Component Sine Waves

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Composite Wave (From Previous Slide) Original Piano Wave Look how close with only three sine waves!!!

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Fourier Series

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Why you should change strings A quick experiment with a spectrogram Old New

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Resonance: More Practice Resonance occurs when the frequency of the forcing vibration is _________ the natural frequency of the object. A. less thanC.

Resonance: More Practice Resonance occurs when the frequency of the forcing vibration is _________ the natural frequency of the object. A. less thanC.

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