significantly, substantially (Sounds a bit formal, so it's not the best fit in context of "raw emotions".)
Opposite (closest): unerheblich
The original idea of this root was:
On the Germanic side of the family tree, we have to have and haben, where it shifted toward the “effect” of grabbing something. Words like heave, heavy, heft and hawk have stayed a little closer to the original sense of grabbing.
In the Latin branch of the family tree, we have the verb capere. This verb meant to take, to hold and it (and its cousins) are the ancestors of a multitude of words like capture, catch, perceive, receive, recover and also cop.
Oh and let’s not forget about principal and prince which originally meant “first one to receive”.
Here’s an (incomplete) list of English members of the family: