In this chapter, the authors discuss the oddness effects arising from certain kinds of scalar sentences and review two main accounts to the oddness of these sentences: an account that explains oddness as an effect of a contextually contradictory scalar implicature and an alternative account that explains oddness based on the pragmatic usability of alternatives. They discuss the oddness behavior of conjunctive variants of the original cases which have been argued to be problematic for the account based on the mismatching scalar implicature. They argue that such variants are similarly problematic for the alternative account. They contribute a novel observation that the oddness of the conjunctive variants is not as stable as that of the original cases. Finally, they sketch a possible account of the oddness of these cases based on a relevance implication procedure from the entire conjunctive sentence to single conjuncts.