We have conducted a systematic search for multiperiodic pulsations in the RR Lyrae-type stars of the galactic globular cluster \omega Cen . Secondary periodicities close to the primary pulsation frequency have been detected in 17 out of 70 studied fundamental mode ( RRab ) pulsators and in 35 out of 81 overtone ( RRc ) pulsators . Because of the observed period ratios , these newly detected periodicities must correspond to nonradial modes . Their beating with the primary radial pulsation leads to a slow amplitude and phase modulation , commonly referred to as the Blazhko effect . The incidence rate of Blazhko modulation in { \omega } Cen RRab stars ( 24 \pm 5 \% ) is similar to that observed in the Galactic Bulge . In the case of \omega Cen RRc stars , the incidence rate of Blazhko effect is exceptionally high ( 38 \pm 5 \% ) , more than 3 times higher than in any other studied population . In addition to Blazhko variables , we have also identified two RR Lyr variables exhibiting first overtone/second overtone double-mode pulsations , and a triple-mode High Amplitude \delta Scuti variable .