I pieced together information about the adverb of time nogensinde from two grammar books. Sorry, it doesn't directly answer your question with something simple, but you can see that there is a pattern to forming many adverbs that are derivatives of other words.
Start with the indefinite pronoun that means some/any, something/ anything, someone/ anyone:
- nogen - common gender
- noget - neuter
- nogel (nogen) - plural
Form the adverb by adding the suffix +sinde to the indefinite pronoun, for example:
- nogensinde = ever
- ingensinde = never
Forms in -sinde express time.
Forms in -ledes and -lunder express manner, for example, nogenledes and nogenlunder both = fairly.
Forms in -steds express location, for example, nogetsteds = anywhere.
Forms in -e (for example, ikke = not, bare = only) include a subcategory of adverbs of place (for example, ude = outside, ovre = over)
Sources: Danish: An Essential Grammar - The PDF of the 2000 edition is available on the web. The new 2015 text Danish: A Comprehensive is partially available on the web as a g00gle book preview.