Periodic sound by a violin string

AI Thread Summary
The discussion focuses on the periodic sound wave produced by a violin's G string, identifying three frequencies: 392 Hz, 588 Hz, and 980 Hz. The fundamental frequency is established as 392 Hz, which is the lowest frequency in the harmonic series. There is confusion regarding whether 588 Hz and 980 Hz are harmonics of 392 Hz, with clarification that they are not multiples of 392 Hz. The conversation also raises the question of whether the three frequencies are multiples of another frequency. The analysis highlights the complexity of standing wave patterns on the string.
mikefitz
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Analysis of the periodic sound wave produced by a violin's G string includes three frequencies: 392, 588, and 980 Hz. What is the fundamental frequency? [Hint: The wave on the string is the superposition of several different standing wave patterns.]

The fundamental frequency is the lowest frequency in a harmonic series; in this case it is 392 Hz. I know that for the first harmonic series that the wavelength is equal to 2xLength of the string (according to a site I found on google). Knowing this information I am a little confused as to where I should start to solve this problem. Can anyone offer me some guidance? Thanks
 
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Are 588 and 980 Hz harmonics of 392 Hz?
 
That would be false, they are not multiples of 392...
 
mikefitz said:
That would be false, they are not multiples of 392...
Are the three all multiples of something?
 

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