When a situation calls for condolences for one and congratulations for someone else.
You're parents got a promotion and they are moving out of state leaving you alone.
"Hey great news about your Moms promotion, oh, sorry you're going to be alone here aren't you? Condolations...
A situation that is both unfortunate yet celebratory at the same time. Used in uncomfortable situations.
Them: I got that promotion with a big bump in pay, but the boss is a major asshole.
You: Hey, condolations!
Them: My 16 year daughter's expecting (marrying her thug boyfriend, etc..).
You: Well, condolations.