stable gear vs appurtenance

stable gear and appurtenance both are nouns.

Word	Noun	Adjective	Verb	Adverb
stable gear	Yes	No	No	No
appurtenance	Yes	No	No	No

As nouns, appurtenance is a hypernym of stable gear; that is, appurtenance is a word with a broader meaning than stable gear:

stable gear: gear for a horse
appurtenance: equipment consisting of miscellaneous articles needed for a particular operation or sport etc.

Other hypernyms of stable gear include gear, paraphernalia.

stable gear (noun)	appurtenance (noun)
gear for a horse	a supplementary component that improves capability
	equipment consisting of miscellaneous articles needed for a particular operation or sport etc.