I chose to analyze the harmonics on the open A string since it seemed to have the loudest and clearest harmonic notes, which makes it easier to interpret the readings from Soundcard Oscilloscope. The following is a picture of the open A2 string oscilloscope reading. The second picture is the oscilloscope reading of the A3 harmonic note.
Oscilloscope: A2 open string
Oscilloscope: A3 Harmonic(12th fret A2 string)
A single note/frequency is seen as a perfect sinusoid wave in the oscilloscope. When there are many notes playing at once the oscilloscope shows a distored wave pattern. As you can see on the first oscilloscope graph, the open A string has lost much of its sinusoid-like wave, and is quite distorted, suggesting there are several notes playing at once. The second graph showing the A3 harmonic is much clearer, and is not as distorted as the open A, suggesting that there are likely less vibrations in the air.
The following pictures are graphs from the spectrum analyzer, which graphs the amplitude vs the frequency of the vibrations in the air. The first picture shows the different frequencies of the vibrations produced by plucking the open A2 string. The second picture shows the frequencies of the vibrations produced by plucking the A3 harmonic note on the 12th fret of the A2 string.
Spectrum Analyzer: Open A2 String
Spectrum Analyzer: A3 Harmonic(12th fret A2 string)
As you can see, the harmonic note is much more focused on one frequency when compared to the open string, which has many different frequencies being heard at once(with the most prominent hill being the fundamental note). There are less frequencies in the harmonic note because they are being muted out by my finger. These spectrum analyzer graphs agree with the findings from the oscilloscope graphs, since they both support the idea that there are many more frequencies being produced by the open A2 string than in the A3 harmonic note.