Here's what rhymes with matriarchale.
gale kale male scale fail mail sale pale sail tail tale jail nail rail veil hail shale whale bail vale wail bale dale pail quail hale quale grail faille wale trail avail frail email stale assail curtail snail flail braille foresail lugsail carrell detail prevail entail travail inhale exhale bewail derail gunwale pigtail topsail unveil impale monorail taffrail bobtail wassail pellmell hangnail hightail mainsail martingale swallowtail fingernail ponytail countervail nonpareil tattletale