numeration vs tally

numeration and tally both are nouns.

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

As nouns, numeration and tally are synonyms defined as:

numeration and tally: the act of counting; reciting numbers in ascending order

Other synonyms of numeration include count, counting, enumeration, reckoning.

numeration (noun)	tally (noun)
the act of counting; reciting numbers in ascending order	the act of counting; reciting numbers in ascending order
naming numbers	a score in baseball made by a runner touching all four bases safely
	a bill for an amount due

numeration (verb)	tally (verb)
	determine the sum of
	keep score, as in games
	gain points in a game
	be compatible, similar or consistent; coincide in their characteristics