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If a violin string vibrates at 390 Hz as its fundamental frequency, what are the frequencies of the first four harmonics?

Answer :

If the fundamental frequency which is 390Hz is multiplied, it will give frequencies of higher harmonics.

Fundamental frequency or the first harmonic is the lowest frequency at which a string could vibrate to form a standing wave pattern. If a violin string vibrates at 390Hz as it's fundamental frequency which is its first harmonic also called fundamental tone, then higher harmonics can be calculated by multiplying fundamental frequency.

Therefore,

  • the first harmonic is 1×390= 390Hz
  • second harmonic will be 2×390=780Hz.
  • third harmonic will be 3×390= 1170Hz.
  • fourth harmonic will be 4×390= 1560Hz.

Hence, these are the frequencies of the first four harmonics.

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