Tenement rhymes with:
ornament, tournament, adamant, argument, armament, complement, condiment, detriment, diamant, disarmament, element, excrement, experiment, filament, impediment, implement, increment, instrument, integument, ligament, ornament, orpiment, parliament, predicament, rearmament, regiment, sacrament, sediment, sentiment, supplement, temperament, testament, tournament, vehement
Tenement sounds like:
taint, tainted, tamed, tandy, tanimoto, tanned, tant, taunt, taunted, teamed, teammate, tedmond, tedmund, tenant, tend, tended, tenet, tennant, tennent, tent, tenth, tenuta, tettamanti, themed, thinned, timed, timeout, timid, timidity, timothea, timothy, tint, tinted, tinto, titanate, tomato, tomatoe, tomita, tonawanda, tonda, toned, tonite, tonti, toutant, tummond, tunde, tuned, twentieth, twenty, twined, tymnet