inclemency vs rigor

inclemency and rigor both are nouns.

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

As nouns, inclemency and rigor are synonyms defined as:

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

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