Three-mode (PARAFAC1) factor analysis was performed on the tongue shapes and mel formant values of ten English vowels as spoken by five subjects. Vocal tract cross-dimensions were measured from cine x rays, along lines perpendicular to the midline of the tract and spaced equidistantly at approximately 1-cm intervals. Deviations from “neutral” average-vowel values were computed for both formants and cross-dimensions. Only two factors were found, and these accounted for roughly 90% of the articulatory and 95% of the acoustic data variance. Factor 1 produces a predominately antisymmetric perturbation of the vocal tract and thus would have a greater acoustic effect on the unrounded vowels (since their vocal tract termination impedance is lower). It presumably is due to the position of the jaw and action of the genioglossus muscle. It mainly affects the second formant. Factor 2 is both less stable across analyses and less clearly defined. It produces a mainly symmetric perturbation and would thus be more effective during rounded vowels. It can be interpreted as resulting in part from the action of the styloglossus muscle. It affects both formant frequencies. PARAFAC1 analysis of formant data for Swedish, Danish, and Twi vowels shows similar factors, indicating a consistent pattern of interpersan variations along these two dimensions.
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