common meter vs common measure

common meter and common measure both are nouns.

Word	Noun	Adjective	Verb	Adverb
common meter	Yes	No	No	No
common measure	Yes	No	No	No

As nouns, common meter and common measure are synonyms defined as:

common meter (noun)	common measure (noun)
the usual (iambic) meter of a ballad	the usual (iambic) meter of a ballad
	an integer that divides two (or more) other integers evenly
	a time signature indicating four beats to the bar