heritage vs patrimony

heritage and patrimony both are nouns.

Word	Noun	Adjective	Verb	Adverb
heritage	Yes	No	No	No
patrimony	Yes	No	No	No

As nouns, patrimony is a hyponym of heritage; that is, patrimony is a word with a more specific, narrower meaning than heritage:

heritage: that which is inherited; a title or property or estate that passes by law to the heir on the death of the owner
patrimony: an inheritance coming by right of birth (especially by primogeniture)

Other hyponyms of heritage include primogeniture, borough English, accretion, bequest, legacy, birthright, devise, heirloom.

heritage (noun)	patrimony (noun)
hereditary succession to a title or an office or property	an inheritance coming by right of birth (especially by primogeniture)
any attribute or immaterial possession that is inherited from ancestors	a church endowment
practices that are handed down from the past by tradition
that which is inherited; a title or property or estate that passes by law to the heir on the death of the owner