Walls,
That the cool thing about the Circle. You'll may end up with symmetrical patterns of notes, or you may not. That's what creates the wacky tonality of it. One thing I really need to stress though is you have to know common music theory to use it. For instance, if the notes A C and F# pop up, you should know these notes fit into the G Major/E minor scale, E harmonic minor, form an F# diminished triad, are the 3rd 5th and 7th of a D7 chord, etc... If the notes C D and E pop up? C Major scale, C whole tone, CM add 9, etc...
Without the knowledge of common music theory, you're just working with a bunch notes. With theory, you've got a road map leading to lots of different places.
Ron