Semi-height rhymes with:
height, heit, hiett, hight, hite, alight, allright, alright, benight, bight, bite, blight, bright, brite, byte, cite, clevite, clyte, contrite, de-excite, delight, despite, disinvite, dunite, dwight, ebright, enright, enwright, excite, feit, fight, fite, flight, forthright, fright, height, heit, hiett, hight, hite, ignite, incite, indict, indite, invite, kight, kite, knight, kyte, lafite, light, lite, macknight, mccright, mcknight, mcright, mcwhite, mcwright, might, mite, night, nite, nonwhite, onsite, outright, overexcite, overnight, overnite, overwrite, plight, polite, quite, recite, reignite, reinvite, reit, reunite, rewrite, right, rite, riunite, satterwhite, scheidt, sight, site, sleight, slight, spight, spite, sprite, streit, strite, tight, tonight, tonite, trite, twite, upright, uptight, white, whyte, wight, wright, write, zeit
Semi-height sounds like:
sanctity, schenectady, schuknecht, secessionist, sense-data, sensed, singed, sinusoid, skinniest, smacked, smashed, smestad, smoggiest, smoked, smoshed, snacked, snagged, sneaked, sneezed, sonesta, soonest, succinct, sumgait, summonsed, suncoast, sunkist, sunnyside, sunset, sunstate, sunsweet, swimsuit