Confusion about Standing Waves

[betterfuture]

The Kaplan book states that "The frequency of the standing wave given by n=2 is known as the first overtone or second harmonic. This standing wave has one-half the wavelength and twice the frequency of the first harmonic."

Okay. So this is confusing as heck because in this link, http://www.physicsclassroom.com/class/sound/Lesson-5/Guitar-Strings, shows that the second harmonic has a full wave, whereas the first harmonic has half the wave, but the Kaplan statement I wrote above says the exact opposite. Or maybe I am reading it incorrectly. Can someone kindly clear the confusion up. I am clearly seeing a full wave at the 2nd harmonic. Help. Thank you very much!

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[aldol16]

As you go up in harmonics, the wavelength goes down. More and more wavelengths fit inside the tube.

 

[Thoroughbred_Med]

@aldol16 I see you answering almost all the questions on this forum... quite precisely too. lol
Are you an MCAT wiz? Have you already tested?

 

[betterfuture]

So basically I am reading it wrong. I confused wave and wavelength.

 

[theonlytycrane]

So basically I am reading it wrong. I confused wave and wavelength.

In the link that you posted make sure to look at the bottom of the first figure on that page. lambda = 2L / n where n = (1, 2, 3...)

 

[betterfuture]

Thanks, I think I understand now. The wavelength is larger and I was confusing a wave with wavelength. As harmonic increases, the frequency increases because there are more waves fitting (freq=waves/time)