Final answer:
Antigone is discussing the hereditary curse that brings suffering to her family, rooted in the incestuous marriage of Jocasta and Oedipus.
Step-by-step explanation:
Antigone speaks of the misery that plagues her family. In Sophocles' classic play Antigone, the character Antigone discusses the dire consequences that her bloodline faces due to the curse inflicted by their actions and heritage. Her reference to 'the taint of blood, the hereditary stain', signifies the hereditary curse borne by the House of Labdacus, which includes a history of incestuous relationships and tragic fates, most notably the marriage of her mother Jocasta to her son Oedipus, which led to Antigone's birth. The resulting curse brings continuous suffering and misfortune to her family, culminating in her own tragic destiny.