How can the frequency of vibrations be changed?
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Tightening the string gives it a higher frequency while loosening it lowers the frequency. When string players tighten or loosen their strings, they are altering the pitches to make them in tune. The density of a string will also affect its frequency. Remember that dense molecules vibrate at slower speeds.
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When the length of a string is changed, it will vibrate with a different frequency. Shorter strings have higher frequency and therefore higher pitch. When a musician presses her finger on a string, she shortens its length.
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