The harmonic mean of two numbers, a and b, equals 2/ 1/a +1/b. As you vary the length of a violin or guitar string, its pitch ch
anges. If a full-length string is 1 unit long, then many lengths that are simple fractions produce pitches that harmonize, or sound pleasing together. The harmonic mean relates two lengths that produce harmonious sounds. Find the harmonic mean for the string lengths of 1 and 1/2
