just to end this topic as it might be interesting for other people, maybe ?
same fret 2 strings up is the minor 7th (of the root)
and we find the pattern perfect 5th-root-major 3rd in:
E shape voicing on strings 654 and 543
A shape voicing on strings 432
D shape voicing on strings 321
and major scale pattern on strings 654
4#----------------------4-6-7
5#--------------4-5-7-
6#--------5-7-
I find this very useful when learning licks and solos to actually understand why you are fretting where you are fretting.