Sound Of Music: 2nd, 3rd, 4th Harmonics of 370 Hz Pitch

In summary, the frequency of the second harmonic of a 370 Hz pitch is 740 Hz, while the third harmonic is 1110 Hz and the fourth harmonic is 1480 Hz. These harmonics are all integer multiples of the fundamental frequency, meaning that they are double, triple, and quadruple the frequency of the original pitch. The presence of these harmonics can affect the overall sound quality and timbre, creating a more complex and full sound compared to just the fundamental frequency alone.
  • #1
whitehorsey
192
0
1. A flute acts like an open pipe and sounds a note with a 370 - Hz pitch. What are the frequencies of the second, third, and fourth harmonics of this pitch?



2. f = nv/2L (n = 1, 2, 3, 4)



3. f = nv/2L
370 = 343/2L
740 L = 343
L = 0.463513513

f = 2(343)/ 2(0.463513513)
= 740 Hz

f = 3(343)/ 2(0.463513513)
= 1110 Hz

f = 4(343)/ 2(0.463513513)
= 1480 Hz

740 Hz, 1110 Hz, 1480 Hz ---- I'm not sure if this is right.
 
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  • #2
Seems right to me.
 
  • #3
Ok Thank You! :)
 

What is the frequency of the second harmonic of a 370 Hz pitch?

The frequency of the second harmonic of a 370 Hz pitch is 740 Hz. This means that the second harmonic is double the frequency of the original pitch.

What is the frequency of the third harmonic of a 370 Hz pitch?

The frequency of the third harmonic of a 370 Hz pitch is 1110 Hz. This means that the third harmonic is three times the frequency of the original pitch.

What is the frequency of the fourth harmonic of a 370 Hz pitch?

The frequency of the fourth harmonic of a 370 Hz pitch is 1480 Hz. This means that the fourth harmonic is four times the frequency of the original pitch.

What is the relationship between the harmonics and the fundamental frequency?

The harmonics are integer multiples of the fundamental frequency. This means that the second harmonic is twice the frequency, the third harmonic is three times the frequency, and so on.

How do the harmonics affect the overall sound of a 370 Hz pitch?

The presence of harmonics can affect the quality and timbre of a sound. In the case of a 370 Hz pitch, the second, third, and fourth harmonics will create a more complex and full sound compared to just the fundamental frequency alone.

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