rigour vs inclemency

rigour and inclemency both are nouns.

Word	Noun	Adjective	Verb	Adverb
rigour	Yes	No	No	No
inclemency	Yes	No	No	No

As nouns, rigour and inclemency are synonyms defined as:

Other synonyms of rigour include hardness, harshness, rigor, rigorousness, rigourousness, severeness, severity, stiffness.

rigour (noun)	inclemency (noun)
something hard to endure	excessive sternness
the quality of being valid and rigorous	weather unsuitable for outdoor activities
excessive sternness