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Semitones and Notes from a String

If a string of length 10cm plays a note G when plucked, by how much, to the nearest centimeter, must the string be shortened to play the note B, four semitones above this G? Chose the one correct option.

Options

A. 6cm B. 11cm C. 16cm D. 21cm E. 25cm F. 30cm G. 33cm H. 50cm

Solution Preview

Because frequency is inversely proportional to length,
four semitones = three ...

Solution Summary

The shortening of a string is calculated to produce a given note.

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