A COMMUTER FLC INADVERTENTLY TAXIED ONTO A RWY AT MSP. THE ATCT GND CTLR HAD ADVISED THE CREW THAT THEY COULD DEPART AHEAD OF A DC9 IF THEY EXPEDITED THEIR TAXI. JUST AS THE CREW RECOGNIZED THE ERROR; THEY WERE CLRED INTO POS ON THE RWY.

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WE WERE TAXIING OUT TO RWY 11R AT MSP. AS WE WERE TAXIING WE WERE FINISHING UP OUR CHKLIST AND WONDERING ABOUT THE WX ALONG OUR RTE OF FLT. GND CTL SAID TO SPD UP AND WE WOULD BE #1 AT THE RWY AHEAD OF A DC9 THAT WAS ALSO TAXIING OUT ON THE PARALLEL TXWY. THE FO WAS TELLING THE FLT ATTENDANT TO BE SEATED; AND WHEN I LOOKED UP; I WAS ON THE EDGE OF THE ACTIVE RWY. I HAD MISSED MY TURN ON THE PARALLEL TXWY; HAD TAXIED OUT PAST THE HOLD SHORT LINE; AND WAS STICKING OUT ONTO THE RWY. ABOUT THIS TIME THE FO WAS BACK WITH ME. I WAS JUST GOING TO ADVISE ATC; WHEN THEY CLRED ME INTO POS AND HOLD. WE DEPARTED AND FLEW THE TRIP UNEVENTFULLY; BUT STILL SHAKEN. WE ARE NOT BASED AT THIS ARPT; BUT I HAVE FLOWN OUT OF IT OFF AND ON FOR 7 YRS. WE WERE DEPARTING AT A VERY SLOW TIME SO THERE WAS NO ONE ON FINAL AND THE TXWYS WERE CLR EXCEPT FOR THE DC9. I WAS WELL RESTED; THE FO HAD TAKEN THE RED EYE FLT TO WORK FROM PHOENIX TO DTW AND HAD LITTLE SLEEP. WE WERE 6 HRS INTO OUR TRIP SCHEDULE. SUPPLEMENTAL INFO FROM ACN 337960: AT THE MOMENT OF THE TURN; THE CAPT WAS LOOKING INSIDE TO CHANGE FREQS FROM GND TO TWR. I WAS INCLINED TO THINK WE WERE GIVEN CLRNC SINCE WE WERE PREVIOUSLY TOLD THAT WE WERE #1.