Watch the C Major 7 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 E form up 8 frets. The first and second strings(voices) remain open and thus extend and/or alter the basic major 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) 3
2nd string(voice) 7
1st string(voice) 3

Analyzing this chord against the 6th voice (as the root) reveals the name as C Maj7.

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

C ionian

1 2 3 4 5 6 7
C D E F G A B

C lydian

1 2 3 #4 5 6 7
C D E F# G A B