A Lydian mode
A B C♯ D♯ E F♯ G♯
Formula: 1 2 3 ♯4 5 6 7
A major scale with a raised 4th (♯11). Over a major 7th chord it avoids the clash of the natural 4th, which is why it is chosen on maj7♯11 chords.
It has the same notes as E major, starting from A.
On the neck, frets 0 to 12
The 1st string (high e) is at the top, as in the app. The root is filled.
Open it in the app: 3. Scales & Modes, in A
The Lydian mode in other keys