Music-related math word problem. (Distance between frets)

Question

one of the g-strings on a banjo plays g4 which has a frequency of 392Hz and is 26.25 inches long. the second fret on this string plays an A4, which has a frequency of 440 Hz. The fifth fret plays a C5, which has a frequency of 523.25Hz. What’s the distance between the second fret and the fifth fret on this banjo? Round your answer to the nearest 0.01 inch.

Answer 1

Cecily,

Did you find an answer to this problem? It's a fascinating blend of science, math and music. I would love to help you - even if the question is outdated. It sounds like your teacher is very creative!

Blessings,

Rita