An Arpeggio is simply where you play the notes of a chord separately; without them ringing out. And thats all sweep shapes are!
You make chords by using the notes from a major scale. Remember the root from the last lesson? Thats the first note of a scale, like you would get a C major shape from a C major scale.
A major scale has a pattern of notes called intervals. Intervals are the space between notes.A whole step is two notes, and a half step is one note. So from C to D is a whole step. And D to D# is a half step.
Now major scales have a set pattern. Its whole step, whole step, half step, whole step, whole
step, whole step, half step. You start from whatever note you want to be your root. So if you want a C major scale, you start from the C note, then move a whole step down to the D note. Then another whole step to the E note. Then a half step from E to F. And so on until you get back to the root note, which is C.
By the time you are done, you will have the notes a C major scale! C D E F G A B
Since I am lazy and have done enough typing, I will finish up the actual chord theory tomorrow! As always, complain in the comments, or praise, whetever floats your prospective boat.