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Harmonic Series and Spectrograms

Harmonic Series and Spectrograms. 220 Hz (A3). Instrument 2. Sine Wave. Instrument 1. Why do they sound different?. Waveform. Piano. Guitar. Sine Wave. Overtones.

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Harmonic Series and Spectrograms

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  1. Harmonic Series and Spectrograms

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

  3. Waveform Piano Guitar Sine Wave

  4. 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 (1st Harmonic): 220Hz • 1st Overtone (2nd Harmonic): 440Hz • 2nd Overtone (3rd Harmonic): 660Hz

  5. Spectrogram Piano Guitar

  6. Modes of Vibration: Standing Waves

  7. Harmonic Motion

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

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

  10. Composite Wave

  11. Composite Wave

  12. Waveform Piano Guitar Sine Wave

  13. Spectrogram: Piano

  14. Piano: Component Sine Waves

  15. Piano: Component Sine Waves Composite Wave (From Previous Slide) Original Piano Wave Look how close with only three sine waves!!!

  16. Fourier Series • Any wave (sound) can be mathematically represented as some combination of sine waves. • Wave= SineWave1+SineWave2+SineWave3+… • Examining a wave as a Fourier Series lets us see the component frequencies that make up the unique sound!

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

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