Not much, probably a negotiated classification like most criminal charges.
I'm being technical.
An other than honorable discharge can be one of three things: either (1) dishonorable discharge, (2) bad conduct discharge or (3) under conditions other than honorable.
Maybe I'm being ticky-tacky, but I used to discharge people for a living. It's not just semantics, there are real differences between these discharges. The first two are punitive and are awarded as a result of a court-martial. The OTH is administrative, and can be awarded in lieu of a court-martial or for misconduct. It matters.