Pettine rhymes with:
bettini, agostini, albertini, anstine, aseltine, balentine, ballentine, barentine, bertini, bettini, bottini, castine, celestine, contini, costantini, demartini, fantini, firestine, fortini, galentine, gallentine, gilbertine, latini, lentine, lentini, leontine, martini, modestine, montini, notestine, piacentini, ratieni, sabatine, sabatini, santini, teaney, teenie, teeny, turrentine, valentini, vantine, vastine, volentine
Pettine sounds like:
padden, paden, paduano, patane, pathan, patin, patina, patino, patman, paton, patten, pattin, patton, payton, peaden, peden, pedone, peedin, pepitone, petain, petino, petition, petunia, peyton, photon, pipitone, pitino, pitman, pitney, pittman, podany, podium, poten, potion, ptomaine, ptyon, put-on, putdown, putman, putnam, putney, puttnam, python