I don't know why, but to me, this whole jazzy approach is seriously confusing:
This excerpt seems to be in E minor because of the use of raised D. With that in mind, the chords would be:
i (Emin) - vii (D#dim6/5) - i (Emin) - V/ (E6/5)
Without the next measures we can't know for sure what that E7 dominant in first inversion (G# in the bass) is functioning as, but I am guessing it will function as a secondary dominant, maybe to iv (Amin).
It's the voicing that makes it sound so. The bass line rises in steps, while the top line drops in the opposite way. In Em, (F# key sig.) it's Em, B7/F#, Em/G, E7/G#. The second chord is a little ambiguous, and the last one majors up, more than likely leading to Am in the next bar.