> antipode
Er, that word does not mean what you are saying. "Antithesis" would be closer.
But saying that, I disagree: space opera isn't the opposite of hard SF. Science fantasy is. Space opera is a different sort of extreme, which makes the point that this is not an X-Y scale we're talking about here. There's no Mohs scale of hardness of SF.
It's at least a 2D area:
hard <-> soft
is at 90º to
rigorous <-> totally without rigour
Does it have a set of rules or axioms you can work out? If it has, does it apply them strictly? Does it play by its own rules, or does the author does improvise as they go along, changing the rules?
Where "the rules" are real life science, physics etc., for hard SF, modulo some additional plot device, whereas for sci-fantasy it has its own rules but they're not our rules. Say, an innate ability to step into other universes (say, Amber by Roger Zelazny, or the Family Trade by Charles Stross), or using a machine (the Long Earth books by Stephen Baxter and Terry Pratchett).
I take this line-vs-area argument from /Red/, /Green/ and /Blue Mars/ by Kim Stanley Robinson. Those are pretty hard SF -- no FTL, no AI –- but Mars has a lot more nitrogen than it seems to and they invent life extension.