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