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> Sure, if you define “morpheme” as a collection of syllables

Cats, as noted, has two morphemes, despite having only one syllable. Syllables and morphemes are largely orthogonal, morphemes can be less than, equal to, or more than a syllable (and even when more than, may or may not start or end on a syllable boundary.)

(Also, syllables aren’t the minimal semantic units even of spoken speech, those are phonemes – a syllable consists of at least one phoneme, potentially more. But morphemes, even an alphabetic script if it isn’t perfectly phonetic, still don’t necessarily map to one or more phonemes, since is textual semantic unit may have no effect on pronunciation.)



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