What is the Fundamental Frequency?

So the fundamental freq. for a vibration with an overtone freq. of 990 Hz is 330 Hz. Therefore, in summary, the fundamental freq. could be 330 Hz for a vibration with an overtone freq. of 990 Hz.
  • #1
Soaring Crane
469
0
Which of the following could be the fundamental freq. for a vibration that has an overtone freq. of 990 Hz?

a. 330
b. 660
c. 148
d. 1980
e. 1990
(All in Hz.)

The formula that I think you have to use is f_n = n*f_1, where f_1 is fud. freq.

Then, I thought

f_2 = 2*f_1, where f_2 is the overtone freq. (is these a correct assumption?)

but 990/2 is 495.

Could someone direct me to the correct path of getting the solution?

I'm confused over the definitions of overtone and fund. freq.

Thanks.
 
Last edited:
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  • #2
There's no reason to assume than n=2, so you just leave it as n.

So you have [itex]f_n = nf_1 [/itex]
Or [itex]f_1 = \frac {990}{n} [/itex]

Which of the choices satisfies this condition for some integer n ?

Can you say if [itex]f_1[/itex] will be greater than or less than 990 Hz, from this ? Does this rule out any choices ?

The alternative is simply to notice that [itex]f_n/f_1 = n [/itex], so try the remaining choices of [itex]f_1[/itex] to see which one gives you an integer ratio.
 
Last edited:
  • #3
Is the answer A?

The fud freq. would be less than 990, would it not? That leaves A and B, and 990/3 is 330.
 
  • #4
That's right.
 

What is fundamental frequency?

Fundamental frequency, also known as F0, is the lowest frequency at which a periodic waveform repeats itself. It is the most basic and essential frequency component of a sound.

How is fundamental frequency measured?

Fundamental frequency is measured in Hertz (Hz), which represents the number of cycles per second. It is typically determined by analyzing the pitch of a sound using specialized software or equipment.

What factors affect the fundamental frequency of a sound?

The fundamental frequency of a sound is primarily affected by the length, tension, and mass of the vibrating medium. For example, a longer and thicker string on a guitar will produce a lower fundamental frequency than a shorter and thinner string.

What is the relationship between fundamental frequency and pitch?

The fundamental frequency of a sound is closely related to its perceived pitch. A higher fundamental frequency typically corresponds to a higher pitch, while a lower fundamental frequency corresponds to a lower pitch.

Why is fundamental frequency important in speech and music?

Fundamental frequency plays a crucial role in speech and music, as it determines the perceived pitch and overall quality of a sound. It also helps to distinguish between different vocal or instrumental sounds, and can convey emotions and meaning in communication.

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