Fundamental frequency and higher harmonics

[johnj7]

Could someone validate if this is correct?

for waves with antinode/antinode or node/node ends
if the fundamental frequency is f1
then f2 = 2f1, second harmonic
and f3 = 3f1, third harmonic

but for waves with antinode'/node or node/antinodes at the ends
then if fundamental frequency is f1
then f3 = 3f1 (third harmonic)
f5 = 5f1
because there are no second/4th/even harmonics

would this be correct?

much thanks!

 

[rl.bhat]

Yes. It is correct.

 

[nlightner]

Your understanding of fundamental frequency and higher harmonics is correct. The fundamental frequency is the lowest frequency at which a system can vibrate, and higher harmonics are multiples of that frequency. For a wave with antinode/antinode or node/node ends, the second harmonic (f2) would be twice the fundamental frequency (f1), and the third harmonic (f3) would be three times the fundamental frequency. In the case of waves with antinode'/node or node/antinode ends, the third harmonic (f3) would still be three times the fundamental frequency, but there would not be a second harmonic (f2) or any even harmonics. This is because the system is not able to vibrate at these frequencies due to the fixed ends. Overall, your understanding of fundamental frequency and higher harmonics is correct.