IPA: /ˈkæpɪtli/
KK: /ˈkæpɪtli/
In a way that is excellent or admirable; in a manner that involves punishment.
The team performed capitally, impressing everyone with their skills.
Capitally is derived from "capitalis" (from Latin, meaning of the head or chief) and the adverbial suffix "-ly" (meaning in a manner of). The word refers to something done in a manner relating to the head or chief, often in a legal or financial context.
Think of 'capital' as relating to the 'head' or 'chief' of something, and remember that 'capitally' means doing something in a manner related to that chief or head.