Dilarity 

May also be known as "dirty hilarity".
Combination of fun, laughter, and utter joy that only comes from dirty and somewhat raunchy shenanigans. May include embarrassment and/or ridicule, but should always be funny.

Dilarity ensued when the nerds pulled off the greatest panty raid of all time at the sororiety house.

Dilarity by bonitaflor21 October 23, 2008

dielarity 

die·lar·i·ty /dī-la-ritē/ noun. - laughter intermixed with sadness caused by morbid occurances. The unease and convulsions of laughter related to the demise of a close relative or friend.

Now I started having a private moment of dielarity, laughing and crying softly (so it looked like crying) as I remembered sitting with Dad a few years back in the TV room at Club Meds.

from Lizz Winstead's Lizz Free or Die: Essays

dielarity by harmless drudge February 24, 2013