3 syllables:
myology, ology

4 syllables:
acology, aerology, agrology, algology, anthology, apology, arthrology, astrology, battology, biology, brontology, bryology, cacology, carphology, carpology, cetology, chirology, christology, chronology, conchology, coprology, cosmology, cryptology, cytology, dendrology, desmology, doxology, ecology, enology, ethnology, ethology, fetology, garbology, gastrology, glossology, graphology, haplology, histology, homology, horology, hydrology, hymnology, hypnology, ichnology, ichthyology, limnology, lithology, macrology, mammalogy, menology, metrology, micrology, misology, morphology, mycology, mythology, necrology, neology, nephology, nephrology, neurology, nomology, nosology, oncology, ontology, oology, orology, otology, pathology, patrology, pedology, penology, petrology, phenology, philology, phlebology, phrenology, phycology, phytology, pomology, posology, proctology, psephology, pseudology, psychology, rheology, rhinology, sarcology, scatology, seismology, serology, sexology, sinology, sitology, splanchnology, symbology, tautology, technology, tetralogy, theology, tocology, topology, tribology, trichology, tropology, typology, urology, virology, zoology, zymology

5 syllables:
acarology, actinology, adenology, aetiology, agriology, agrostology, allergology, anemology, angelology, angiology, anthropology, arachnology, archaeology, archeology, aristology, audiology, autecology, axiology, balneology, bibliology, bromatology, campanology, cardiology, child psychology, climatology, cosmetology, craniology, criminology, dactylology, deltiology, demonology, deontology, depth psychology, dermatology, egyptology, embryology, entomology, enzymology, escapology, eschatology, etiology, etymology, fossilology, futurology, genealogy, gerontology, glaciology, greek mythology, gynaecology, gynecology, haematology, hagiology, helminthology, hematology, hepatology, herpetology, heterology, hierology, high technology, iconology, ideology, immunology, iridology, laryngology, lexicology, lichenology, malacology, martyrology, methodology, mineralogy, museology, musicology, myrmecology, norse mythology, numerology, oceanology, odontology, oenology, ophiology, ophthalmology, organology, orismology, ornithology, osteology, palaeology, paleology, palynology, parisology, pharmacology, physiology, planetology, pneumatology, poenology, primatology, pteridology, radiology, rail technology, reflexology, rheumatology, roentgenology, scientology, selenology, semiology, sociology, somatology, spelaeology, speleology, stomatology, sumerology, synecology, teratology, terminology, thanatology, toxicology, traumatology, uranology, vexillology, volcanology, vulcanology

6 syllables:
aerobiology, agrobiology, alethiology, applied psychology, assyriology, astrobiology, bacteriology, biotechnology, christian theology, chronobiology, compound morphology, cryobiology, cryptozoology, dendrochronology, dialectology, dysteleology, ecclesiology, endocrinology, enigmatology, epistemology, exobiology, folk etymology, geochronology, geomorphology, glottochronology, histopathology, human ecology, hydrogeology, kinesiology, liturgiology, meteorology, microbiology, neonatology, neurobiology, neuropathology, neuropsychology, numismatology, onomatology, palaeontology, palaetiology, paleontology, paletiology, parapsychology, parasitology, pathobiology, perinatology, photobiology, phytopathology, protozoology, psychobiology, psychopathology, roman mythology, sedimentology, semasiology, social psychology, soteriology, stoichiology, suicidology, symptomatology, venereology

7 syllables:
anaesthesiology, anesthesiology, animal psychology, bioclimatology, classical mythology, clinical neurology, clinical psychology, cognitive psychology, computer technology, doctor of theology, epidemiology, ethnomusicology, gastroenterology, genetic psychology, immunopathology, marine archaeology, marine archeology, master of theology, natural theology, neuropharmacology, neurophysiology, otolaryngology, palaeobiology, palaeodendrology, palaeogeology, palaeopathology, palaeornithology, palaeozoology, paleobiology, paleodendrology, paleoecology, paleogeology, paleomammalogy, paleopathology, paleornithology, paleozoology, pathophysiology, protoanthropology, protoarchaeology, protoarcheology, psychopharmacology, psychophysiology, radiobiology, social anthropology, sociobiology

8 syllables:
automotive technology, bachelor of theology, biometeorology, comparative psychology, cultural anthropology, department of biology, department of psychology, descriptive anthropology, differential psychology, electrophysiology, human paleontology, hydrometeorology, industrial psychology, micropaleontology, molecular biology, neuroendocrinology, palaeoclimatology, paleoanthropology, paleoclimatology, physical anthropology, psychoneuroimmunology

9 syllables:
communications technology, department of anthropology, department of sociology, developmental psychology, experimental psychology, otorhinolaryngology, underwater archaeology, underwater archeology

10 syllables:
physiological psychology

12 syllables:
digital communications technology

3 syllables:
wallaby, colony, comradely, hostilely, broccoli, modesty, wannabe, possibly, rocketry, quantity, novelty, policy, bodily, sodomy, botany, psalmody, homily, prodigy, sovereignty, monstrously, boloney, honesty, twopenny, audibly, frostily, honestly, constantly, quality, ptolemy, hostelry, bonhomie, comedy, dobsonfly, solidly, dovekie, commonly, potbelly, potently, romany, polony, constancy, monody, progeny, wantonly, modestly, consciously, gossipy, colloquy, crotchety, prosody, monandry, cobwebby, odyssey, prophecy, contrasty, probably, wobbly, wannabee, polity, oddity, conakry, balmily, blossomy, bonduc tree, bottletree, caudally, connally, cosily, cozily, dottily, foxily, guenon monkey, knobbly, noxiously, obloquy, promisee, prophesy, rommany, rottenly, squalidly, stodgily, talkily, watchfully

4 syllables:
monopsony, ontogeny, monotony, volubly, autonomy, cacophony, synonymy, astronomy, verbosity, topography, colostomy, misogamy, demography, geometry, homogeny, economy, monopoly, frivolity, democracy, apostrophe, lithography, impolitely, pornography, comradery, thermometry, geodesy, phonology, hypocrisy, demonstrably, orthography, gastronomy, atrocity, loquacity, velocity, typography, trade policy, improbably, viscosity, impossibly, apostasy, moronity, comparably, equality, commodity, despondently, inconstancy, porosity, spectroscopy, gibbosity, prodigally, impotency, philosophy, bureaucracy, planography, dishonesty, photography, conjugally, cartography, monstrosity, jocosity, unconsciously, mammography, ethnography, mahogany, insolvency, allopathy, hydrometry, theocracy, phylogeny, optometry, agronomy, astrometry, callosity, ferocity, geography, despondency, anomaly, responsibly, allometry, biography, dichotomy, fluoroscopy, low comedy, holography, idolatry, spectrometry, monogamy, autocracy, precocity, algometry, allotropy, androgeny, apogamy, arthrography, arthroscopy, astrolatry, autogeny, bardolatry, biogeny, cacography, calabash tree, child prodigy, cosmography, cosmolatry, exogamy, farce comedy, globosity, glyptography, gymnosophy, high quality, hydrography, immodestly, immodesty, isogamy, isometry, lithotomy, lordolatry, low quality, monocracy, naprapathy, obnoxiously, old colony, plutocracy, prime quantity, psychometry, pyrolatry, self-consciously, shape constancy, size constancy, sonography, symbolatry, tax policy, theosophy, top-quality, topolatry, tuatha de, venography, verbolatry, viscometry, with modesty, zoolatry

5 syllables:
sinuosity, laparoscopy, macrocephaly, anemometry, cardiography, actinometry, true anomaly, bibliography, audiometry, lexicography, fiscal policy, inequality, adiposity, roentgenography, stereoscopy, tortuosity, jejunostomy, crystallography, aristocracy, foreign policy, tuberosity, trigonometry, mediocrity, choreography, radiography, ideography, generosity, animosity, curiosity, adenopathy, irresponsibly, oceanography, anemography, hagiography, tracheostomy, meniscectomy, sociometry, plane geometry, numerosity, anthropometry, grandiosity, densitometry, anisogamy, chromatography, anorthography, angiography, episiotomy, anthropolatry, arborolatry, bibliolatry, brightness constancy, celioscopy, color constancy, complex quantity, constant quantity, defence policy, defense policy, demonolatry, diabolatry, disconsolately, floating policy, glutinosity, gynaeolatry, gyneolatry, hagiolatry, heliolatry, iconolatry, idiolatry, laparotomy, mass spectroscopy, news photography, paleography, passamaquody, physiography, preciosity, radioscopy, social policy, symbololatry, thaumatolatry, tragicomedy, true mahogany, unknown quantity, unselfconsciously, without modesty, xerography

6 syllables:
neuroanatomy, cardiomyopathy, antimonopoly, token economy, market economy, solid geometry, social democracy, autobiography, musical comedy, chromolithography, paleobotany, ultrasonography, escape velocity, religiosity, cinematography, offset lithography, arteriography, insurance policy, telephotography, moral philosophy, muzzle velocity, biogeography, cedar mahogany, cholangiography, cholelithotomy, cuban mahogany, decline in quality, definite quantity, hypervelocity, legal philosophy, mammothermography, managed economy, maternal quality, palaeobotany, parental quality, paternal quality, photolithography, powder photography, relative quantity, seriocomedy, voluminosity

7 syllables:
projective geometry, situation comedy, physical geography, radio astronomy, paper chromatography, terminal velocity, spherical geometry, african mahogany, philippine mahogany, dynamic viscosity, dialect geography, electromyography, column chromatography, natural philosophy, doctor of philosophy, absolute viscosity, communist economy, descriptive geometry, doctor of optometry, economic policy, honduras mahogany, indefinite quantity, linguistic geography, numerical quantity, palaeoethnography, palaeogeography, paleoethnography, paleogeography, parametric quantity, socialist economy, unit of viscosity, variable quantity

8 syllables:
congenital anomaly, economic geography, proprietary colony, hyperbolic geometry, analytic geometry, political economy, capitalist economy, coordinate geometry, department of philosophy, dominican mahogany, elementary geometry, empiricist philosophy, large indefinite quantity, national trading policy, parabolic geometry, small indefinite quantity, transcendental philosophy

9 syllables:
coefficient of viscosity, african scented mahogany, analytical geometry, parliamentary democracy

11 syllables:
council on environmental policy