In this paper, we compare the comprehension of the speech act meaning of non-canonical speech acts (i.e., rhetorical questions and surprise-disapproval questions) with the comprehension of indirect speech acts (i.e., indirect requests). Both speech act types are ‘mixed’ in the sense that they involve secondary and primary illocutionary forces, but our hypothesis is that they differ in their degree of how salient their primary illocutionary force is: On the one hand, the primary illocution is signaled by non-contextual cues (non-canonical speech acts); on the other hand, it is derived via pragmatic inferencing (indirect speech acts). We thus expect their comprehension processes to be different. We conducted a judgment experiment to test whether both speech act types differ regarding how accurate the primary illocutionary force is identified and regarding how fast that force can be identified. Our results suggest that non-canonical speech acts and indirect speech acts are indeed two distinct pragmatic and psychological phenomena: While non-canonical speech acts are more accurately identified with their primary illocutionary force than indirect speech acts, participants need more time to perform this identification for non-canonical speech acts than for indirect speech acts. Our findings shed new light on the mapping between linguistic form and illocutionary force and on the pragmatic typology of speech acts in general.