common measure vs metre

common measure and metre both are nouns.

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

As nouns, metre is a hypernym of common measure; that is, metre is a word with a broader meaning than common measure:

Other hypernyms of common measure include beat, cadence, measure, meter.

common measure (noun)	metre (noun)
the usual (iambic) meter of a ballad	rhythm as given by division into parts of equal duration
an integer that divides two (or more) other integers evenly	(prosody) the accent in a metrical foot of verse
a time signature indicating four beats to the bar	the basic unit of length adopted under the Systeme International d'Unites (approximately 1.094 yards)