nonculturally

The story

1. Proto-Indo-European*né
2. Proto-Germanic*ne
3. Proto-Indo-European*ís?
4. Proto-Indo-European*h₁óynos
5. Proto-Germanic*ainaz
6. Proto-Germanic*nainaz
7. Proto-West Germanic*nain
8. Old Englishnān
9. Middle Englishnon
10. Old Englishnān
11. Old Englishnān-
12. Middle Englishnon-
13. Englishnon-
14. Proto-Indo-European*kʷelh₁-
15. Proto-Indo-European*kʷélh₁eti
16. Proto-Italic*kʷelō
17. Latincolō
18. Latincultūra
19. Middle Frenchculture
20. Englishculture
21. Proto-Indo-European*h₂el-
22. Proto-Indo-European*h₂élisder.?
23. Englishcultural
24. Englishnoncultural
25. Proto-Indo-European*leyg-
26. Proto-Germanic*līką
27. English todaynonculturally

From noncultural + -ly.