The B Lydian dominant scale has 7 notes: B – C♯ – D♯ – E♯ – F♯ – G♯ – A. 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 B major scale it has ♯4 (E♯ instead of E), ♭7 (A instead of A♯).
The explorer above is set to B 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.