4-11: 4 SEE ANSWER

Answer: 0.1389f

If a tempered scale has 16 tones between the octave we can find the frequency between individual tones:

    a^16 = 2(f)
    a = 1.0443

We know that f = 1.0 and the third can be found with the formula:

    f^3 = 1.0443^3 = 1.1389

Therefore, the difference between frequencies is found:

    = f2 - f1
    = 1.1389 - 1.0000
    = 0.1389f

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