Equality Vs Freedom

A few weeks ago I read Isonomia, about the Ancient Greek notion of Isonomia and its relationship to democracy.  It is a fantastic book.  Aside from the discussion of political philosophy and history there is also a  little metaphysical discussion on matter and motion.

However, I think this tug between equality and freedom is interesting to think about. We can all be equal, like in a communist society, but our freedom is restricted. Or we can be (relatively) free, as in a capitalist society, but there is lots of inequality.

I am enjoying thinking of this dichotomy. The question is, is this a false dichotomy. If we are thinking equality-freedom can we also think of three terms equalty-x-freedom. What is the x?  What is that third pole? I am not sure, but there must be one? Maybe technicity?