Watch the B Minor Add4 (11) online guitar lesson by Brad Carlton from Guitar Lab: Open String Universe

This chord voicing is achieved by moving the lowest four voices of the open Em form up 7 frets. The first and second strings(voices) remain open and thus extend and/or alter the basic minor chord which is always occuring in voices 6 through 3.

The voicing for this chord is as follows(from low to high in pitch):

6th string(voice) 1
5th string(voice) 5
4th string(voice) 1
3rd string(voice) b3
2nd string(voice) 1
1st string(voice) 4 (11)

Analyzing this chord against the 6th voice (as the root) reveals the name as Bm add4(11).

The applicable scale(s) for soloing over this chord would be:

B dorian

1 2 b3 4 5 6 b7
B C# D E F# G# A

B aeolian

1 2 b3 4 5 b6 b7
B C# D E F# G A

B phrygian

1 b2 b3 4 5 b6 b7
B C D E F# G A

B melodic minor

1 2 b3 4 5 6 7
B C# D E F# G# A