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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 changes. 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

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Answer:

2/3

Step-by-step explanation:

2 / (1/a + 1/b)

2 / (1/1 + 1/(½))

2 / (1 + 2)

2/3

The harmonic mean is [tex]2\div 3[/tex]

Calculation of the harmonic mean:

Since the string lengths of 1 and 1/2

So,

[tex]= 2 \div (1/a + 1/b)\\\\= 2 \div (1/1 + 1/(1\div 2))\\\\= 2 \div (1 + 2) \\\\= 2\div 3[/tex]

Learn more about mean here: https://brainly.com/question/8870962

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