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Consecutive harmonics on a violin string have frequencies 411 Hz and 452.1 Hz. Find the frequency of the 10th overtone of the string.

Answer :

The frequency difference between consecutive harmonics on a violin string is 41.1 Hz (452.1 Hz - 411 Hz).

What is the formula for calculating the frequency of the nth overtone on a violin string?

The formula for calculating the frequency of the nth overtone on a violin string is:

frequency = n * f1

where n is the overtone number and f1 is the fundamental frequency of the string.

To find the frequency of the 10th overtone of the string in this question, we can use the formula:

frequency = 10 * (452.1 Hz - 411 Hz) + 411 Hz = 891 Hz

Therefore, the frequency of the 10th overtone of the violin string is 891 Hz.

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