Consecutive Harmonics Just Beat Frequency?

[MedPR]

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Re-reading the TBR section on resonance in strings since and I came across this little gem (I probably shouldn't even be sharing it with my MCAT competition).

Consecutive harmonics differ by the fundamental frequency, f1= fn - f(n-1).

So the frequency difference between the first and second harmonic is just the beat frequency of the two harmonics? I haven't been able to really apply harmonics or sound concepts to passages because they don't make any sense to me.

 

[chiddler]

Mcat is not graded on a curve. The scores yield a curve, but it's not graded that way. That said, screw you 😛

f = n*2v/L

lets say 2v/L = 10

f = 10n

n = 1 is fundamental frequency
n = 2 is first harmonic
n = 3 is second, etc.

they are simply multiples of each other. the difference between each one is the fundamental frequency. so the beat frequency should be the same when comparing consecutive harmonics.

this does NOT apply to a pipe that is open at one end and closed at the other because n can only be equal to 1, 3, 5, 7...