Antonyms for Syllabic (opposite meaning)
WordNet sense 1 ((of verse) having a metric system based on relative duration of syllables):
quantitative
WordNet sense 2 ((of verse) having a metric system based on stress rather than syllables or quantity):
accentual
WordNet sense 3 (not forming a syllable or the nucleus of a syllable; consisting of a consonant sound accompanied in the same syllable by a vowel sound or consisting of a vowel sound dominated by other vowel sounds in a syllable (as the second vowel in a falling diphthong)):
nonsyllabic
From the ODE community, based on WordNet
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