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1.
The act of being ratchet; ratchet activities.
I can't wait to engage in our ratchivity tonight.

I wonder what kind of ratchivities we will get ourselves into tonight?
by Nastyyy_nate October 27, 2014
 
2.
(Adjective) Behavior performed by a person that offends any of the five senses. Also characterized as 'ratchet'.
Those girls were screaming amongst each other, yelling at other passengers and twerking to music. Being in the subway exposes you to a lot ratchivity.
by Flower Girl Kay13 October 12, 2013