1 syllable:
-clase, ace, aisse, baisse, base, bass, brace, caisse, case, cayce, chace, chase, crace, dace, drace, dspace, dtrace, face, frace, glace, grace, graisse, heyse, lace, mace, mais, nace, nspace, pace, phace, place, pspace, ptrace, rais, space, stace, stase, strace, tayce, trace, vase, wace, xbase, {brace

2 syllables:
abase, airbase, airspace, air base, altace, ambase, amesace, anelace, apace, arspace, backspace, backtrace, back brace, belace, best-case, biface, big-face, birthplace, bitbrace, blackface, blank space, blueface, boat-race, boldface, bongrace, bookcase, bowgrace, braceface, braincase, briefcase, broad-base, broadbase, bucase, by-place, c-base, capcase, carcase, cardcase, catface, chaincase, chalkface, cheeseface, chessbase, clayface, clearcase, clock face, clubface, coalface, codebase, coface, coinbase, couchbase, crankcase, crawlspace, crunchbase, cubase, cytase, czarface, darktrace, dbase, debase, deepface, deep space, deface, degrace, deltase, disbase, discase, disc space, disgrace, disk space, dispace, displace, display ps, dogface, dollface, doorcase, doughface, dreamspace, drivespace, e-base, efface, ekstase, embase, embrace, emplace, encase, enchase, enface, enrace, erase, espace, essbase, estrace, euclase, extase, false face, fanbase, fangface, farm-place, farmplace, findface, first base, fishbase, fly-case, footrace, forebrace, foreface, foxbase, frank-chase, free-base, freebase, fuckface, full-face, gameface, gearspace, gear case, greyface, gun case, half-space, hardcase, headcase, headspace, homebase, homeplace, horse-race, i-case, imbase, incase, inchase, ingrace, inlace, in case, in place, itase, keybase, knee brace, koobface, laccase, lactase, laface, lambastes, landrace, landspace, laplace, last-place, lee pace, left-brace, lightface, livspace, lootcase, lovelace, mainbrace, maltase, meatspace, misplace, mixed-race, moonbase, moonface, myspace, n-space, namespace, neck brace, newspace, nodejs, non-place, noplace, null-space, nullspace, null space, nutcase, off-base, onespace, on base, outface, outpace, outplace, outrace, parcase, parcplace, pecase, pectase, percase, petase, phytase, pigface, point lace, postface, pramface, proface, rackspace, rapace, re-trace, rebase, rebrace, rechase, reed mace, relace, replace, rerebrace, retrace, right-brace, rimbase, rockface, saygrace, scapegrace, scarface, seedcase, shoelace, shoe lace, showcase, showplace, skiptrace, skull-face, slapeface, slipcase, smallcase, smearcase, snake case, snapcase, snot-face, someplace, spore case, squarespace, staircase, starbase, steelcase, stone-face, straight face, streptase, sub-base, subbase, subspace, suitcase, sunspace, supplace, surbase, swap space, sybase, take place, talkspace, tax base, test case, third base, thrombase, toolcase, tool case, touch base, transplace, trollface, tryptase, two-face, typecase, typeface, unbrace, uncase, unface, unlace, uptrace, vambrace, vantbrace, volte-face, warface, watchcase, watch case, webspace, wheelbase, whey-face, wheyface, white-face, whiteface, whitespace, will & grace, wing case, woodface, workplace, workspace, worst-case, wry face, {left-brace, }close-brace, }right-brace

3 syllables:
about-face, aboutface, acid-base, aerospace, aftertastes, anatase, ankle brace, annagrace, anyplace, arcaspace, army base, arobase, arrobase, aspartase, at that place, baby-face, babyface, basketcase, battlespace, blurryface, bobbin lace, boniface, bouillabaise, bouillabaisse, brazenface, breathing place, breathing space, brussels lace, camelcase, case-by-case, cityplace, clean-in-place, clinoclase, commonplace, convertase, counterbrace, country-base, coup de grace, createspace, cyberchase, cyberspace, database, david chase, demi-glace, demiglace, diabase, diastase, dioptase, dispatch case, display case, dnase, double-face, double-space, dressing case, dwelling-place, dynatrace, eating place, ecospace, eigenface, eigenspace, elastase, enclosed space, enterlace, evergrace, everspace, everyplace, face-to-face, final space, firebase, fireplace, foam-in-place, fritzl case, glasses case, gopherspace, gynobase, hackerspace, hammerspace, hatchet-face, herb-of-grace, herb of grace, hiding place, hilbert space, holy place, human face, hydratase, hydro-base, hydrospace, hyperbase, hyperspace, in-your-face, index case, innerspace, instabase, interbase, interface, interlace, interplace, interspace, invertase, in one case, isobase, jadagrace, jonbenet's, just in case, kilobase, kissy-face, knowledgebase, knowledge base, landing place, leatherface, leslie grace, letterspace, letter case, liquibase, lithoclase, living space, lower-case, lowercase, lower case, lurking place, maggie grace, market-place, marketplace, meeting place, megabase, mental case, metric space, monospace, nancy mace, navy base, needlecase, nesting place, notecase, oblique case, open-face, orthoclase, outer space, out of place, overgrace, packing case, paleface, panabase, paperchase, paper chase, parking space, pencil case, periclase, phosphatase, pillow-case, pillowcase, pillow lace, planetbase, poker face, polling place, polyspace, pudding-face, puddingface, quarterpace, queen anne's lace, rain-in-the-face, reductase, reed-mace, reembrace, rheobase, rocket base, roman pace, royal brace, sailing-race, sclerobase, second base, secretase, single-space, solvespace, state of grace, stay in place, steeplechase, stoneface, stone life face, storage space, subject case, sulfatase, sulphatase, superbase, superspace, swinecase, synaptase, syntax-case, synthetase, tablespace, tallow-face, taserface, the good place, the staircase, thorough-brace, three days grace, transcriptase, translocase, triple-space, trophy case, underbrace, uniface, upper-case, uppercase, upper case, uricase, usace, welfare case, whatshisface, xpercase, year of grace, yellowface, zero-base, {open-brace

4 syllables:
aconitase, agent-in-place, anorthoclase, antitrust case, arianespace, aromatase, as-interface, attache case, a quiet place, charity case, cigarette case, custody case, cyberespace, dehydratase, duke lacrosse case, electrospace, fall into place, gathering place, google workspace, graph database, in any case, in the first place, isomaltase, mckenna grace, memory trace, moving staircase, noomi rapace, nucleobase, objective case, oligoclase, operabase, overnight case, pegloticase, plagioclase, polymerase, possessive case, prisoner's base, rasburicase, reiterates, streptokinase, tamam shud case, triphosphatase, visual space, watering place

5 syllables:
accusative case, at a lower place, c3-convertase, dihydroorotase, ferrochelatase, freelance marketplace, geometric pace, grammatical case, instrumental case, interstellar space, in a higher place, military pace, open fireplace, pyrophosphatase, to a higher place, to a lower place, trespass on the case, user interface

6 syllables:
central park jogger case, command-line interface, command line interface, computer database, enumclaw horse sex case, four-dimensional space, fructose-bisphosphatase, garth marenghi's darkplace, imaginary place, lexical database, oxidoreductase, parallel interface, terri schiavo case, thefutureembrace

7 syllables:
3000 metres steeplechase, electronic database, histidinol-phosphatase, interplanetary space, o. j. simpson murder case, relational database, wizards of waverly place

8 syllables:
graphical user interface, guantanamo bay naval base, unified payments interface

9 syllables:
small computer system interface

12 syllables:
musical instrument digital interface

1 syllable:
rates, skates, bates, gates, plates, states, waits, fates, straits, dates, weights, mates, eights, greats, hates, state's, states', traits, yeats

2 syllables:
awaits, cordaites, creates, debates, dictates, dire straits, gulf states, kuwait's, misstates, naucrates, relates, the fates, translates, updates

3 syllables:
desperate straits, hydrobates, hylobates

4 syllables:
united states, system of weights

5 syllables:
william butler yeats, war between the states

9 syllables:
commonwealth of independent states, capital of the united states, president of the united states

10 syllables:
constitution of the united states

11 syllables:
organization of american states

12 syllables:
attorney general of the united states