Mirative

Although the Maidu 'evidential' -wéw (Shipley 1964:45) might correspond somewhat to the Washo visual, and the (unexemplified) Sierra Miwok 'circumstantial evidence' marker taˀ, tat, ˀiš- (Freeland 1951:169) may correspond to the Washo inferential (mirative).

Source: wiktionary

In Archi mirativity is grammaticalized as part of the verbal category of evidentiality, so the study of the mirative in Nakh-Daghestanian languages might help to identify the meaning of exclamatives more precisely.

Source: wiktionary

The Tarms Quechua Mirative often refers to information that is withheld from the addressee until the speaker sees fit to reveal it, a frequent strategy in narratives of which the unexpected outcome is reserved for the end. By consequence, the speaker him/herself need not be under the impact of surprise any longer when using the Mirative. […] Characteristically, actions performed during one's sleep or in a state of unconsciousness are expressed in the Mirative[…]. The Mirative can also be used in recounting dreams[…].

Source: wiktionary

[T]he speaker had heard on the radio that a bear had attacked a woman. From the description of her wounds on the radio, he infers, using the mirative/inferential particle lą̄ą̄, that she was dragged by the bear. […] This particle also implies that the speaker was surprised at the event. Bear attacks are uncommon in Arizona, and the woman was someone the speaker was acquainted with. In fact, lą̄ą̄ is more fundamentally a mirative than an inferential, […]

Source: wiktionary