numeration vs miscount

numeration and miscount both are nouns.

Word	Noun	Adjective	Verb	Adverb
numeration	Yes	No	No	No
miscount	Yes	No	Yes	No

As nouns, miscount is a hyponym of numeration; that is, miscount is a word with a more specific, narrower meaning than numeration:

Other hyponyms of numeration include blood count, census, nose count, nosecount, countdown, poll, recount, sperm count.

numeration (noun)	miscount (noun)
the act of counting; reciting numbers in ascending order	an inaccurate count
naming numbers

numeration (verb)	miscount (verb)
	count wrongly