What note is played on the E string at the 11th fret?

The note played on the E string at the 11th fret is D#. The E string, when fretted at the 11th fret, raises the pitch of the open E note by 11 half steps (or semitones).

Starting with the open E string, if we count semitones, we can determine the corresponding note. The sequence of notes from E moves as follows: E (open) to F (1st fret), F# (2nd fret), G (3rd fret), G# (4th fret), A (5th fret), A# (6th fret), B (7th fret), C (8th fret), C# (9th fret), D (10th fret), and finally arrives at D# (11th fret).

This method of counting ensures that the correct note is identified accurately according to the fretboard layout. Thus, the note at the 11th fret on the E string is indeed D#.