"to unsay, to contradict or withdraw a declaration or proposition," 1530s, from Latin recantare "recall, revoke," from re- "back" (see re-) + cantare, literally "to chant, to sing" (from PIE root *kan- "to sing"). The English word is from the Reformation; the Latin verb is a loan-translation of Greek palinoidein "recant," from palin "back" + oeidein "to sing." Related: Recanted; recanting. It was used occasionally 17c. in an etymological sense of "sing over again" (with re- = "again").
<a href="https://www.etymonline.com/word/recantation">Etymology of recantation by etymonline</a>
Harper, D. (n.d.). Etymology of recantation. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/recantation