In rhetoric, parechesis (παρήχησις) is the repetition of the same sound in several words in close succession.
An example of a parechesis is: "He persuades the Pithian (πείθει τὸν Πειθίαν)." Hermogenes of Tarsus discusses parechesis in his work On the invention of arguments (Περὶ εὑρέσεως). Alliteration (initial rhyme) is a special case of parechesis.
It is related to paronomasia.
References
Parechesis Wikipedia(Text) CC BY-SA