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Relationship between pitch and string length

  1. Apr 24, 2013 #1
    Is the relationship between the length of a guitar string and the frequency of the pitch it produces a linear relationship? e.g. If the frequency of the pitch of a string is 60 Hz and I halve the length, should it produce a pitch with a frequency of 120 Hz?

    This is assuming all other variables, tickness, tension and material are all held constant.
     
  2. jcsd
  3. Apr 24, 2013 #2

    DrClaude

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    Staff: Mentor

    Yes. Imagine you excite only the second harmonic of the string: the frequency is doubled and the mid point of the string is a node. Putting your finger there and letting half the string vibrate gives the same result.
     
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