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.
F♯ and G♭ are the same pitch, so this page covers both names; the notes are spelled from F♯, the way the key is usually written. 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.