hereditariness

adjective

1. 1. of, or passed down by, inheritance from an ancestor to a legal heir; ancestral
   2. having title, right, etc. by inheritance
2. of, or passed down by, heredity; designating or of a characteristic transmitted genetically from generation to generation
3. being such because of attitudes, beliefs, etc. passed down through generations: hereditary allies

Origin: L hereditarius < hereditas: see heredity