A blues scale is characterised by a flatted fifth, while a lydian scale has a raised fourth. Same difference, right? Not exactly, because a scale with a flatted fifth still contains the perfect fourth , while a scale with a raised fourth (i.e., Lydian) does not.If I understand, this really means to play the exact same thing as a D major blues scale.
Additionally, a blues scale is really more of a pentatonic (five note) minor scale with an additional note (the b5)... it skips the second and sixth scale degrees.
A D lydian w/ a b7 would be ..
D, E, F#, G#,A, B, C#, D
A D blues scale would be...
D, F, G, Ab, A, C, D
In my experience, this is what most people mean when they say their "blues scale," but it is also referred to as a minir blues scale, based upon the minor pentatonic scale of 1,b3, 4, 5, b7, and then adding the b5 "blue note."
The "major blues scale," despite having spent five decades as a jazz musician and four of those decades teaching it, is kind of a new one on me in terms of terminology anyway. It seems to be based upon a major pentatic scale... 1,2,3,5,6.. with the addition of a b3. In the key of D, it would be...
D, E, F, F#,A, B, D
Still not the same as lydian with a b7... There's no seventh at all.