3 syllables:
chemically

4 syllables:
alchemically, endemically, graphemically, morphemically, polemically, systemically

5 syllables:
academically, bacteremically, biochemically, epistemically, geochemically, histochemically, photochemically, phytochemically

6 syllables:
electrochemically, immunochemically, physicochemically, stereochemically

3 syllables:
medically, astheny, chemistry, density, dentistry, devilishly, effigy, el misti, emily, enmity, entity, ethnically, evenki, hellishly, helsinki, jestingly, levity, negligee, pettishly, prelacy, registry, sceptically, selfishly, skeptically, temptingly, threateningly, yenisey

4 syllables:
hesitancy, hesitantly, elegantly, residency, equitably, technically, penitently, plentifully, ethically, delicacy, aesthetically, affectingly, aggressively, attentively, authentically, celebrity, collectedly, collectively, complexity, coquettishly, deceptively, defensively, dejectedly, dementedly, distressingly, domestically, effectively, esthetically, excessively, expensively, expressively, extensively, frenetically, genetically, identity, impressively, indemnity, integrity, intensity, necessity, objectively, obscenity, obsessively, offensively, progressively, propensity, protectively, refreshingly, respectively, selectively, subjectively, successively, suggestively, symmetrically, unendingly, unethically, unselfishly, yosemite

5 syllables:
asymmetrically, indelicacy, pathetically, intelligently, act reflexively, anti-semite, apprehensively, comprehensively, condescendingly, empathetically, geometrically, hypothetically, imperceptibly, inattentively, ineffectively, inexpensively, inexpressively, infidelity, inoffensively, kinaesthetically, kinesthetically, move reflexively, overwhelmingly, reprehensively, unexpectedly, unimpressively, unrelentingly, unsymmetrically

6 syllables:
theoretically, sympathetically, unintelligibly, die unexpectedly, noncomprehensively, unenergetically, unsympathetically

7 syllables:
radiotelegraphy