Rheinstein rhymes with:
reinstein, feinstein, reinstein, weinstein, borenstein, brandenstein, brownstein, burnstein, feinstein, fleckenstein, frankenstein, goldenstein, grabenstein, greenstein, hartenstein, hornstein, liechtenstein, lowenstein, reinstein, rosenstein, wallenstein, weinstein
Rheinstein sounds like:
ramsden, ramstein, reinstein, remington, remmington, renegotiation, renunciation, rhinestone