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octuple-third-cousin 

Octuple-3C:
Person who, in relation to the other person, has zero parents, zero grandparents, zero great-grandparents and sixteen great-great-grandparents in common.
My octuple-third-cousin is a good person.

sesqui-second-cousin 

Sesqui-2C:
Person who, in relation to the other person, has zero parents, zero grandparents and three great-grandparents in common.
My sesqui-second-cousin is a good person.

sesqui-third-cousin 

Sesqui-3C:
Person who, in relation to the other person, has zero parents, zero grandparents, zero great-grandparents and three great-great-grandparents in common.
My sesqui-third-cousin is a good person.

double-third-cousin

Double-3C:
Person who, in relation to the other person, has zero parents, zero grandparents, zero great-grandparents and four great-great-grandparents in common.
My double-third-cousin is a good person.

half-fourth-cousin 

Half-4C: Person who, in relation to the other person, has zero parents, zero grandparents, zero great-grandparents, zero great-great-grandparents and one great-great-great-grandparent in common.
My half-fourth-cousin is a good person.
half-fourth-cousin by ABGR June 9, 2021

sesqui-fourth-cousin

Sesqui-4C: Person who, in relation to the other person, has zero parents, zero grandparents, zero great-grandparents, zero great-great-grandparents and three great-great-great-grandparents in common.
My sesqui-fourth-cousin is a good person.
sesqui-fourth-cousin by ABGR June 9, 2021