variation vs change

variation and change both are nouns.

Word	Noun	Adjective	Verb	Adverb
variation	Yes	No	No	No
change	Yes	No	Yes	No

As nouns, change is a hypernym of variation; that is, change is a word with a broader meaning than variation:

variation: the act of changing or altering something slightly but noticeably from the norm or standard
change: the action of changing something

As nouns, change is a hypernym of variation; that is, change is a word with a broader meaning than variation:

variation: an instance of change; the rate or magnitude of change
change: an event that occurs when something passes from one state or phase to another

Other hypernyms of variation include alteration, modification.

variation (noun)	change (noun)
an activity that varies from a norm or standard	the action of changing something
the act of changing or altering something slightly but noticeably from the norm or standard	a different or fresh set of clothes
(ballet) a solo dance or dance figure	a thing that is different
an artifact that deviates from a norm or standard	a difference that is usually pleasant
something a little different from others of the same type	an event that occurs when something passes from one state or phase to another
a repetition of a musical theme in which it is modified or embellished	the result of alteration or modification
an instance of change; the rate or magnitude of change	coins of small denomination regarded collectively
(biology) an organism that has characteristics resulting from chromosomal alteration	the balance of money received when the amount you tender is greater than the amount due
(astronomy) any perturbation of the mean motion or orbit of a planet or satellite (especially a perturbation of the earth's moon)	money received in return for its equivalent in a larger denomination or a different currency
the process of varying or being varied	a relational difference between states; especially between states before and after some event
the angle (at a particular location) between magnetic north and true north

variation (verb)	change (verb)
	undergo a change; become different in essence; losing one's or its original nature
	cause to change; make different; cause a transformation
	become different in some particular way, without permanently losing one's or its former characteristics or essence
	change clothes; put on different clothes
	exchange or replace with another, usually of the same kind or category
	lay aside, abandon, or leave for another
	remove or replace the coverings of
	become deeper in tone
	change from one vehicle or transportation line to another
	give to, and receive from, one another