It means discrepancy, disagreement, disagreement and disunity. There is no agreement, there is no agreement.
There is this word and have wanted to say, discordance, which is precisely the absence of correspondence of one thing with another. It fits with diversity and inequality.
If the dictionary admit this word would be the lack of correspondence or conformity between two or more things, by the prefix negative-in. Correspondence or agreement can be grammatical and otherwise. The dictionary itself admits the concordance Biscayne that is the concordance grammatical defective as say " a table small ".