Fundamental Frequency and Musical Harmonics

[helpmeplease]

Ok, I was given a question in homework and was never told the right answer.

If the Fundamental Frequency = 15Hz, the 3rd Harmonic = ?

I estimated it at 45Hz because of an example

The example was;

Harm 1 = 100 x 1 = 100Hz
Harm 2 = 100 x 2 = 200Hz
Harm 3 = 100 x 3 = 300Hz

If so, the third Harm is 3:1, Ergo, if Harm 1. WAS 15Hz, you'd use the 3:1 which was applied on the example and discover it was 45Hz.

Am I correct in saying this or is it something different?

 

[quasar987]

It's good. The formula is

[tex]f_n=nf[/tex]

where f_n is the n-th harmonic and f is the natural frequency, aka first harmonic.

 

[thepatientmental]

Your estimation of 45Hz for the 3rd harmonic is correct. The fundamental frequency is the lowest and most basic frequency in a sound, and it is the frequency that we perceive as the pitch of a musical note. The 3rd harmonic is three times the fundamental frequency, so in this case, it would be 45Hz (15Hz x 3). This is because the 3rd harmonic is the third multiple of the fundamental frequency, and each multiple adds another layer of complexity to the sound, creating a richer and more complex tone. So, you are correct in saying that the 3rd harmonic would be 45Hz in this scenario. Keep up the good work in your homework!