Yes, Albert King got the most out of the blues scale, and I agree, it's a good place to start.

I would also recommend along with your regular lessons, take a little time to put a 12 bar blues progression into BiaB and just play around with the blues scale in that key. Use your ears as a guide, to find a connection between ears and fingers.

While IMHO learning theory and learning to read music notation is important, ear training is every bit as important.

While on the subject of ear training, critically listening to other guitarists, saxophonists, and vocalists is important. But you seem to have that down already.

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