Hebrews says that with a change of priesthood there is also a change of law, and these two are the main features of covenantal shifts. In context, “law” has specific reference to the rules of qualifications for priests.
One might generalize: Fundamental cultural changes are changes in priesthood and changes in law: Priesthood as the elite, the guardians of the sacred, however the sacred is defined; law as the rules for qualification of elites, whether piety, university training, skill in battle, etc.
