Determining fundemental frequency from experiment

[susdu]

Homework Statement

An experiment was conducted with a string. the following successive harmonics were measured:
46.9Hz, 53.7Hz, 61.9Hz, 70.9Hz

a. Evaluate the fundamental frequency
b. which harmonic corresponds to the 61.9Hz frequency?

Homework Equations

The Attempt at a Solution

Well, on average the gaps between the harmonics are 8Hz, so it looks like they are all multiplies of 8Hz (on average). But I don't know if its a string with two fixed points or not, because the fundamental is different in each case.

 

[mfb]

But I don't know if its a string with two fixed points or not, because the fundamental is different in each case.

Why should it be different?
8 Hz is the lowest resonance frequency of the string.

 

[susdu]

You're right, but wouldn't that change the harmonic 61.9Hz belong to?

 

[mfb]

I don't understand that question.

 

[susdu]

61.9Hz is nth harmonic (first,second,third etc)

 

[mfb]

If 8 Hz is the fundamental frequency, what is the frequency of the first harmonic? What is the frequency of the second harmonic? ...

 

[susdu]

Sometimes I tend to over complicate things, thank you.