I have both a Tyros3 and a PSR-S910.
Both will read styles from earlier PSR (back to at least the PSR-2000), but some OTS in the PSR styles may need to be changed to the relevant voices on the T3, because the PSR do not have aftertouch.
Otherwise they play perfectly on the Tyros3.
Congratulations on your new instrument.
Ian
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Yamaha Tyros4, Yamaha MS-60S Powered Monitors(2), Yamaha CS-01, Yamaha TQ-5, Yamaha PSR-S775.