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Homework Help: Fundamental Frequency and Musical Harmonics

  1. May 24, 2005 #1
    Ok, I was given a question in homework and was never told the right answer.

    If the Fundamental Frequency = 15Hz, the 3rd Harmonic = ?

    I estimated it at 45Hz because of an example

    The example was;

    Harm 1 = 100 x 1 = 100Hz
    Harm 2 = 100 x 2 = 200Hz
    Harm 3 = 100 x 3 = 300Hz

    If so, the third Harm is 3:1, Ergo, if Harm 1. WAS 15Hz, you'd use the 3:1 which was applied on the example and discover it was 45Hz.

    Am I correct in saying this or is it something different?
  2. jcsd
  3. May 24, 2005 #2


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    Science Advisor
    Homework Helper
    Gold Member

    It's good. The formula is


    where f_n is the n-th harmonic and f is the natural frequency, aka first harmonic.
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