Or search: harmonic, consonant, harmonious, harmonized, harmonised
3 Syllables: SUU
Chronicle, comical, conical, hospital, logical, prodigal, topical, tropical
4 Syllables: USUU
illogical, methodical, symbolical, zoological
5 Syllables: UUSUU
anatomical, apostolical, archaeological, astronomical, biological, categorical, chronological, diabolical, ecological, economical, ethnological, genealogical, geological, ideological, ironical, microscopical, morphological, mythological, neurological, ontological, pathological, pedagogical, periodical, philological, philosophical, physiological, psychological, sociological, technological, theological
6 Syllables: UUUSUU
bibliographical, methodological
7 Syllables: UUUUSUU
meteorological

Found 45 words across 5 groupings. Skipped 4 excess words of a similar stem.