I think Devotion and Dominion are counterparts.
Dominion wants everything to subordinate. It is Hierachy, in a way.
Devotion, on the other hand, does not rank itself in a precedence. It wants to help and assist everyone, but without subordinating. You can see this intent when you look at the Seons. They also don't see themselves as servants, but as protector.
And I think Odium is a pair with Honor. Because Honor wants to bind things. It can also be trust and/or naivity.
I suppose that Odium's intent is that thought: "They are bad. I am good." It's the thing that Kaladin feels during the battles. It's the intention to seperate things. Into "us and them", "you and me", or, in the worst case: "Me and everyone else". This is the reason Odium revolted against the other Shardholders: His intent is seperating himself from all the others. His intent is rebellion.