common measure vs common meter

common measure and common meter both are nouns.

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

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

common measure (noun)	common meter (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