3 syllables:
metical, reticle, reticul, schetical, thetical

4 syllables:
aesthetical, ascetical, cosmetical, dinetical, emetical, esthetical, frenetical, genetical, heretical, hermetical, magnetical, noetical, pathetical, phonetical, phrenetical, poetical, prophetical, syndetical, synthetical, threnetical

5 syllables:
alphabetical, anchoretical, antithetical, apathetical, aporetical, arithmetical, catechetical, diabetical, dietetical, diuretical, energetical, epithetical, exegetical, geodetical, homiletical, hyperthetical, hypothetical, inergetical, masoretical, metathetical, nomothetical, omiletical, parenthetical, quodlibetical, strategetical, sympathetical, theoretical

6 syllables:
anachoretical, antiheretical, antipathetical, apologetical, atheoretical, biogenetical, cytogenetical, diaphoretical, epexegetical, epithumetical, hydrokinetical, logarithmetical, peripatetical, phytogenetical, set-theoretical

7 syllables:
abiogenetical

3 syllables:
tropical, conical, hospital, popsicle, prodigal, follicle, dropsical, coccygeal, ossicle, chronicle, comical, logical, optical, centrical, chemical, emmenthal, ethical, ethnical, festival, helical, medical, metrical, pellicle, plentiful, skeptical, technical, testicle, vendible, ventricle, vesicle

4 syllables:
methodical, field hospital, subtropical, symbolical, cupronickel, synoptical, ironical, illogical, inositol, angelical, appendicle, ascendible, calendrical, centesimal, concentrical, directional, electrical, ereshkigel, extendible, hygienical, identical, indelible, nonsensical, nontechnical, obstetrical, putrescible, symmetrical, unethical, unmedical, untechnical, unvendible

5 syllables:
chronological, phonological, theological, cosmological, pedagogical, synecdochical, neurological, microscopical, ecological, periodical, gastronomical, morphological, biological, psychological, semitropical, anagogical, tautological, mythological, homological, acrylonitrile, economical, oncological, astronomical, anatomical, rheological, pathological, apostolical, technological, ethnological, mental hospital, geological, paradoxical, philosophical, parabolical, diabolical, algometrical, archangelical, asymmetrical, bathymetrical, commonsensical, comprehendible, dialectical, diametrical, ecumenical, evangelical, geodesical, geometrical, imperceptible, isometrical, mnemotechnical, neurochemical, oecumenical, petrochemical, planetesimal, pyrotechnical, uncollectible, unsymmetrical, volumetrical

6 syllables:
archaeological, heterological, ideological, aetiological, toxicological, gynecological, gerontological, pharmacological, dermatological, immunological, hematological, uneconomical, archeological, entomological, physiological, etiological, genealogical, gynaecological, anemometrical, anthropometrical, colorimetrical, incomprehensible, infinitesimal, photoelectrical, thermoelectrical, uncomprehensible

7 syllables:
bacteriological, psychiatric hospital, epistemological, paleontological, meteorological

8 syllables:
epidemiological

9 syllables:
bilaterally symmetrical