EMB145 FO APCHED AND LANDED ON THE WRONG PARALLEL RWY AFTER TWR CTLR KEPT THEM HIGH AND OVERSHOT FINAL FOR THE RWY TO WHICH THEY HAD BEEN CLRED.

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I LANDED ON THE WRONG RWY IN CMH. I WAS SUPPOSED TO LAND RWY 28L; INSTEAD I LANDED ON RWY 28R. WE DIDN'T REALIZE MY MISTAKE UNTIL TURNING OFF THE RWY (THINGS WERE OUT OF PLACE?). HOW THE PROB AROSE: A LITTLE FATIGUE; COMPLACENCY; AND WHEN TURNED ON FINAL (WITH A LARGE OVERSHOOT) I SAW WHAT I WANTED TO SEE AND LANDED ON IT. THE CTLR WAS FAIRLY BUSY WORKING A COUPLE OF DIFFERENT FREQS (GND; TWR; APCH/DEP). AS A RESULT HE WAS LATE TO LET US DOWN AND THEN OVERSHOT US TO THE FINAL APCH COURSE. I THEN MADE A 'BIG MISTAKE' IN NOT ALERTLY XING AND VERIFYING THE VISUAL CUES AS WELL AS WHY THE VASI'S WERE SHOWING ME LOW WHEN I WAS INDICATING ON THE SLOPE WITH THE RWY 28L ILS (RWYS ARE SLIGHTLY OFFSET AND I DIDN'T NOTICE THIS UNTIL ABOUT 500 FT AND WHILE THINKING IT UNUSUAL; SET IT ASIDE AND CONCENTRATED ON MAKING A GOOD APCH AND LNDG). THE CAPT SAID HE HAD NOTICED ME HEADED FOR THE RIGHT RWY BUT THOUGHT THAT PERHAPS HE HAD MISSED A CALL AND DIDN'T MAKE TIME TO CLARIFY THE POSSIBILITY. IN CONCLUSION; A SIMPLE STRAIGHTFORWARD NIGHT VISUAL; THAT CAUGHT ME COMFORTABLE AND CONFIDENT THAT ALL WAS OK. WHAT A RUDE AWAKENING!