You may think this is perverse, since the other way is clearly simpler, but in fact that b6 contributes a very strong Harmonic Major sound. More exotically, you could think of this as Harmonic Major with an added natural 6. The scale is in fact just a major scale with an added b6 or #5, so it's spelled like this: The video is a bit piano-focussed so I thought it might help some guitar players to have a summary from our point of view of the main idea. It produces a very cool jazz sound by a quite unexpected means. Here's a great excerpt from a Barry Harris workshop where he introduces an interesting diminished concept, which he (jokingly) calls his 'personal scale'.
