inclemency vs rigour

inclemency and rigour both are nouns.

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

As nouns, inclemency and rigour are synonyms defined as:

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

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