Decter rhymes with:
collector, connecter, connector, defector, derecktor, detector, director, ector, erector, fechter, hector, injector, inspector, lecter, lector, nectar, objector, prechter, projector, protector, rector, reflector, schechter, schecter, schlechter, sector, specter, spector, spectre, spektr, transtector, vector, waechter, wechter
Decter sounds like:
daughter, daughtery, daughtrey, daughtry, dauster, decastro, decatur, decoder, decoster, degutare, desiderio, destroy, destroyer, detector, dexter, dextra, dextro, dichter, dictator, digester, disaster, dockstader, dockter, doctor, doktor, doster, doxtater, duster, dykstra