The half diminished 7 chord and arpeggio with the 5th string root.
The Half Diminished 7 Chord
The Half Diminished 7 chord, also called the m7b5 chord, has the 1, b3, b5, and b7 intervals. The numbers in the diagram below represents the fingering.
The Half Diminished 7 Arpeggio
The half diminished 7 arpeggio, like the half diminished chord, has the 1, b3, b5, and b7 intervals. The numbers in the diagram below represents the fingering.