Rigel rhymes with:
nigel, sigal, agile, angel, angell, archangel, carabajal, cargile, conjul, cordial, cudgel, dugal, edgell, fogal, fragile, gudgel, hugill, kegel, magill, megill, nigel, orgill, pujol, ridgell, schmidgall, sigal, skidgel, smigel, vergil, vigil, virgil
Rigel sounds like:
racal, rachael, rachal, rachel, rachelle, racial, racially, rackley, ragel, ragle, rajala, raquel, rascal, razzle, reagle, recall, recoil, recusal, recycle, regal, regalia, regally, regel, regula, rehearsal, reichel, reichl, reichle, reichley, reigel, reigle, resale, reseal, resell, ressel, rexall, richelieu, richly, rickel, riegel, riegle, riggle, rishel, rishell, risley, rissoli, rizzoli, rizzolo, rocheleau, rochella, rochelle, rockel, rockhill, rockley, rockwell, roesel, rogal, rogala, rogalla, rogel, rogelio, rosalee, rosalia, rosalie, rosel, rosell, rosella, roselli, rosello, rosol, rossell, rosselli, roswell, roszell, roughly, roussel, roussell, rousselle, rozell, rozella, rozelle, rozzell, ruckel, ruckle, rushlow, russel, russell, russolillo, rygiel, rykiel