Piriform sinuses (PS) and valleculae (VA) form the side branches of the human vocal tract and exhibit antiresonance and resonance properties which influence the produced voice quality.This study investigates the possibility of these specificresonances to contribute to the speaker'sorsinger'sformant cluster around 3-5 kHz. Areduced finite element (FE) model wascreated which allows numerical simulation of the effects of changing the volumes of PS and VA on the acoustic resonance and antiresonance characteristics of the vocal tract. This model, created from an accurate three-dimensional (3D) FE model of the human vocal tract for vowel [a:], is computationallyeffective and allows parametric changes of the size of PS and VA continuously within the physiologic range. As expected, increased sizes of both the PS and VA shift the corresponding antiresonances and resonances to lower frequencies and can alter the resulting voice spectrum. Within the antiresonance-resonance pair the PS resonance frequencyw as found lower than the antiresonance frequencyw hen the fourth vocal tract resonance frequency wasbelowthe PS antiresonance frequency. In this case, expansion of the PS size could contribute to forming a complexs inger's/speaker'sf ormant cluster and increase the radiated acoustic power in the 3-5 kHz frequency range. These changes are expected to play arole in voice therapyand operatic singing.