Martyre rhymes with:
retire, tyre, admire, afire, alkire, aspire, barbed-wire, beijer, dire, dwire, eir, expire, frymire, gire, guire, gyr, hyre, inquire, inspire, ire, lyre, maguire, mcguire, mcgwire, mcquire, mire, myre, o'dwyer, perspire, quire, reacquire, rehire, retire, safire, schreyer, scire, shire, skier, smyre, spire, squire, striar, swire, tyre, wyre
Martyre sounds like:
marauder, marder, marter, martire, martyr, meridor, meritor, meriweather, meriwether, merriweather, merriwether, moratoria, mortar, mortara, morter, mortier, mortuary, muratore, murder, murderer