Emaj7#5 is E, G#, B# and D#. It keeps the major 3rd and 7th of , but raises the 5th one fret to the .
The sharp 5th is the note to follow. It can rise one more fret to the 6th or fall back to the natural 5th as the harmony changes.
Keep it audible. Without the sharp 5th, the remaining notes only spell .
Also written EM7#5, EΔ7#5, E+M7 or Emaj7(#5).

Drop the third voice from the top an octave instead. The wider gap skips a string, so the muted string is part of the shape.
That result, 3–R–5–7, is the shape usually meant by drop 3. Named by its bass note, as the inversions are here, it is the 1st inversion.
More familiar jazz shapes are drop 3 than drop 2.
How you get to it. The turn that lands on Emaj7#5 is to — the ii and the V of E — and shares its third and seventh with , so the hand barely moves between them.
Hear it land:→→
Contains Emaj7#5 and adds ninth, flat fifth and thirteenth.
The common shapes and the derived voicings come from different places, and both are explained in how this site is built.
Shows each chord the way this style would voice it, and marks which of its alternatives belong to the idiom.