Fundamental frequency and higher harmonics

AI Thread Summary
For waves with antinode/antinode or node/node ends, the fundamental frequency f1 corresponds to the second harmonic f2 as 2f1 and the third harmonic f3 as 3f1. In contrast, for waves with antinode/node or node/antinode ends, the fundamental frequency f1 leads to the third harmonic f3 as 3f1 and the fifth harmonic f5 as 5f1, with no even harmonics present. The validation confirms that the original statements about harmonic frequencies are accurate. Understanding these relationships is crucial for studying wave behavior in different boundary conditions. This discussion clarifies the distinctions in harmonic frequencies based on wave configurations.
johnj7
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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!
 
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Yes. It is correct.
 
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