Reither rhymes with:
seither, altogether, another, atither, bather, bellwether, birdfeather, bither, blather, bother, breather, brother, cather, crowther, dither, either, fairbrother, fairweather, farther, father, feather, forefather, further, futher, gather, genther, get-together, ginther, godfather, godmother, grandfather, grandmother, grether, guinther, heather, hesther, hither, huether, koether, kuether, lather, lawther, leather, lowther, mather, mayweather, meriweather, meriwether, merriweather, merriwether, mother, neither, nether, norther, nother, oldfather, other, prather, raether, rather, reuther, roether, ryther, sather, seither, sether, slather, slither, smather, smither, smoother, smother, souther, starkweather, stepfather, stepmother, stikeleather, strother, suther, tether, together, weather, werther, whether, whither, wither, wrather, yother, zither
Reither sounds like:
radar, radder, rader, radiator, raeder, raether, raider, rater, rather, ratier, ratterree, rattray, reader, readier, redder, reder, redraw, reeder, rehder, reider, reiter, reitera, reitter, reorder, retire, retiree, retro, retry, retter, reuter, reuther, reutter, ridder, rider, rieder, riederer, rioter, riter, ritter, roder, rodier, roeder, roederer, roether, rohwedder, rohweder, rooter, rotary, rother, rothery, rotor, rotter, router, routhier, rudder, ruder, rueter, ruether, ruiter, ruter, ruther, rutter, ryder, ryther, ryutaro