Question

A clarinet sounds as a closed pipe. if a clarinet sounds a note with a pitch of 375 hz, what are the frequencies of the lowest three harmonics produced by this instrument?

Answer 1

So mathematical harmonics are based around a divergent set of fractions. Sigma(1/n)
with the 1st harmonic being... well 1, or 1 full wavelength.The second harmonic is exactly 1/2 the wavelength of the 1st with the third being 1/3 the wavelength. As Wavelengths go down, frequencies go up in a perfect ratio.

Second Harmonic has double the Frequency of the 1st or base note. Third Harmonic is triple and so on.

So the Harmonic set of 375 is.
1. 375
2. 375×2=750
3. 375×3= 1125
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etc (: I hope this helps.

Answer 2

A clarinet sounds as a closed pipe. if a clarinet sounds a note with a pitch, the frequencies of the lowest three harmonics produced by this instrument are 375 Hz, 750 Hz and 1125 Hz.

What is harmonic?

It is an overtone accompanying a fundamental tone at a fixed interval, produced by vibration of a string or column of air.

The general form for notes is

f = n x fo where fo is the fundamental frequency.

Given is fundamental frequency of 375 Hz.

The first harmonic is f = 375 x 1 = 375 Hz

The second harmonic is f = 375 x 2 = 750 Hz

The third harmonic is f = 375 x 3 = 1125 Hz

Thus,  The frequencies of the lowest three harmonics produced by this instrument are 375 Hz, 750 Hz and 1125 Hz.

Learn more about harmonics.

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