I believe there is no style creator on the keyboard but they have something for the pc, which can then be transfered to the audya.
This company found a way.
http://www.fcmusica.com/shop/?en_fcmusica-ritmos-brasileiros-para-audya-3.0,206
http://www.fcmusica.com/shop/?en_fcmusica-ritmos-africanos-para-audya-3.0,205
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Ketron X1 (Oldie but Goodie)