The A Lydian dominant scale has 7 notes: A – B – C♯ – D♯ – E – F♯ – G. Lydian dominant (the overtone scale) is Mixolydian with a raised 4th, or Lydian with a ♭7. It is the jazz sound over a 7♯11 chord and the bright “Simpsons theme” sound.
Compared with the A major scale it has ♯4 (D♯ instead of D), ♭7 (G instead of G♯).
The explorer above is set to A Lydian dominant: the whole neck is mapped, and you can zoom into any of its 7 positions, change the labels to degrees or fingers, and hear it up, down and in patterns.