Maybe I would have to hear it in context, but I think if I just heard those four notes (E, B, D, F#) I would be thinking E min 9 (with 3rd missing). Depends on what everything else is playing. If it’s really in the key of B min and not E min the I think we would say B min over E which I think is notated “B min/E”.
And tell your friend, if it sounds right, then it is right.