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  •  Halving the length of any guitar string will give the same note one octave higher. Because of this, what would...

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     Halving the length of any guitar string will give the same note one octave higher. Because of this, what would be the ratio of string lengths of a note and the note one octave lower? Assume the ratio of string lengths, r, between each of the 12 half-steps in each octave is the same. Determine the exact value of r.

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