common meter vs cadence

common meter and cadence both are nouns.

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

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

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

common meter (noun)	cadence (noun)
the usual (iambic) meter of a ballad	a recurrent rhythmical series
	the close of a musical section
	(prosody) the accent in a metrical foot of verse