Uh ya . . . all this BS is nice, but it's not gunna help you learn theory at all. You're not gunna stand there during your guitar solo wondering which note is 1.25 factor from the root tone. If you want to learn how to play your instrument effectively, learn how to play all the scales, chords, and intervals in every position across the fretboard. Then you'll be on your way to "logically" doing something.