A few months ago I had a kind of forehead-smacking moment, courtesy of John Finn's book
Advanced Modern Rock Guitar Improvisation, re the "parallel universe" that the 1st and 2nd strings exist in relative to the 3rd through 6th strings. By learning to think across the gap between the second and third strings (which Finn cutely calls the "warp refraction threshhold"), conceptualizing scales and chords becomes a lot simpler. In other words, don't think of a chord chart like this:
Code:
_ _ _ _ _
|_|_|_|_|_|
|_|_|_|_|_|
|_|_|_|_|_|
|_|_|_|_|_|
But like this:
Code:
_
_ _ _ _|_|
|_|_|_|_|_|
|_|_|_|_|_|
|_|_|_|_|_|
|_|_|_|
So our basic shapes for E, A, and D chords
Code:
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _
|_|_|_*_|_| |_|_|_|_|_| |_|_|_|_|_|
|_*_* |_|_| |_|_*_*_*_| |_|_|_*_|_*
|_|_|_|_|_| |_|_|_|_|_| |_|_|_|_*_|
|_|_|_|_|_| |_|_|_|_|_| |_|_|_|_|_|
Are all the same shape!
Code:
_ _ _
_ _ _ _|_| _ _ _ _|_| _ _ _ _|_|
|_|_|_*_|_| |_|_|_|_*_| |_|_|_|_|_*
|_*_*_|_|_| |_|_*_*_|_| |_|_|_*_*_|
|_|_|_|_|_| |_|_|_|_|_| |_|_|_|_|_|
|_|_|_| |_|_|_| |_|_|_|
But what makes this really useful is when you start looking at scales. Look at this C major scale:
Code:
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|_|_|_|_|_|
|_|_*_*_|_|
|_r_*_|_|_|
|_|_|_*_|_|
|_*_*_r_|_|
|_|_|_|_|_|
and this Bb scale:
Code:
_ _ _ _ _
|_|_|_|_|_|
|_|_|_|_|_|
|_|_|_r_*_*
|_|_|_|_*_|
|_|_|_*_|_*
|_|_|_|_*_r
There doesn't seem to be much similarity, but when you lay the Bb scale out on the offset grid, you can see it's actually the same shape:
Code:
_
_ _ _ _|_|
|_|_|_|_|_|
|_|_|_|_*_*
|_|_|_r_|_|
|_|_|_|_|_|
|_|_|_*_*_r
|_|_|_|
Look at our five basic pentatonic scales:
Code:
_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
|_|_|_|_|_| |_|_|_|_|_| |_*_*_*_|_| |_|_*_*_|_| |_|_|_*_|_|
*_*_*_*_*_* *_*_*_*_|_* *_|_|_|_*_* *_*_|_|_*_* *_*_*_|_*_*
|_|_|_|_|_| |_|_|_|_*_| |_|_|_*_|_| |_|_|_|_|_| |_|_|_|_|_|
|_*_*_*_|_| |_|_*_*_|_| *_*_*_|_*_* *_*_*_*_*_* *_*_*_*_|_*
*_|_|_|_*_* *_*_|_|_*_* |_|_|_|_|_| |_|_|_|_|_| |_|_|_|_*_|
And now look at them, taking the offset into account:
Code:
_ _ _ _ _
_ _ _ _|_| _ _ _ _|_| _ _ _ _|_| _ _ _ _|_| _ _ _ _|_|
|_|_|_|_*_* |_|_|_|_|_* |_*_*_*_*_* |_|_*_*_*_* |_|_|_*_*_*
*_*_*_*_|_| *_*_*_*_*_| *_|_|_|_|_| *_*_|_|_|_| *_*_*_|_|_|
|_|_|_|_|_| |_|_|_|_|_| |_|_|_*_*_* |_|_|_|_*_* |_|_|_|_|_*
|_*_*_*_*_* |_|_*_*_*_* *_*_*_|_|_| *_*_*_*_|_| *_*_*_*_*_|
*_|_|_| *_*_|_| |_|_|_| |_|_|_| |_|_|_|
It's the same pattern, just rotated across the strings. Cool, eh? This has been a major help to me in thinking about scales and transposing, and it really shows what a beautiful, elegant system the guitar is.