| The blues has its own sort of harmony associated with it that is unique to the blues. It exists somewhere in between minor and major, and has a bit of other stuff thrown in. The short answer is, the only true "blanket" scale that you can use over all the progression is the minor pentatonic blues scale, otherwise, you have to think in terms of each chord. Since every chord in the blues is a dominant, you can have both the major third AND the minor third (technically #9) over ever chord. You could think of them all as taking mixolydian scales, but with the second degree sharped. The #9 on the IV7 is kinda iffy, but it works if you know how to use it right. There are other ways to look at it, but if you alternate between chord tones and minor blues scale, you have a pretty authentic approach to the blues.
This is to say mainly that the blues is NOT derived from the major scale, so you can't analyze it that way.
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