kōls/kau̯ls/ adj.i ‘cool, chilly’
Via Middle and Old Valthungian kōls from Griutungi kōls, from Proto-Germanic *kōliz.
kœuli/ˈkœy̑.li/ n.wk.f.īn coolness, chill.
Deadjectival noun from kōls, from Middle and Old Valthungian kœulī, from Griutungi kōlī, cf. unattested Gothic kōlei, from ProtoGermanic *kōlį̄.
* I broke Linguifex. (I'm sorry!) Once it's working again, I'll update the links above.