Answer: Fee simple.
Explanation:
The type of ownership applicable in this case is the fee simple ownership. The fee simple refers to a term in real estate such that the property owner has full ownership of the land as well as any buildings that are on such land and can do what he or she wishes on the land.
Based on the information given, since we are informed that Leon and Beth own 1/13 of a timeshare estate and own some particular weeks which are inheritable, thus is called the fee simple.