L60 CREW DEPARTING TEB FAILED TO COMPLY WITH DALTON DEP SID RESTRS.

Narrative

AFTER DEPARTING TETERBORO RWY 19 ON THE DALTON DEP; PASSING 800 FT WITH A R TURN TO A HEADING OF 280 DEGS; WE PROCEEDED TO CLB TO AN ALT OF 2000 FT. WHILE IN THE CLB; WE WERE DIRECTED TO CONTACT NEW YORK DEP. THE TCASII SHOWED A TARGET AT MY 9 O'CLOCK POS DSNDING THROUGH 2600 FT. I LOOKED FOR THE TFC AND NOTICED IT TRAVELING AWAY AND DSNDING FROM MY POS. THE LATERAL DISTANCE WAS APPROX 2.75-3 MI AWAY. THERE WAS NO DANGER; NOR ANY CORRECTIVE ACTION TAKEN. SHORTLY THEREAFTER; WE WERE INSTRUCTED TO CLB TO 3000 FT. BEFORE THE HDOF TO THE NEXT CTLR WE WERE GIVEN A NUMBER TO CALL UPON LNDG AT OUR DEST. AFTER DISCUSSING THE DEP PROC WITH MY CREW MEMBER; I LEARNED THE ALT PRE-SELECT WAS NOT SET TO THE PROPER ALT OF 1300 FT; THUS CAUSING US TO BE 700 FT HIGH. SINCE MY ALT PRE-SELECT WAS SET AT 2000 FT; THIS LED ME TO BELIEVE THAT THIS WAS OUR CLRNC LIMIT. MY FO AND I DID OUR COMPANY CHKLIST AND WHEN I ASKED 'FLT INSTS' HE RESPONDED; 'CHK.' AFTER I WAS TOLD TO CONTACT THE NUMBER ABOVE; I ASKED MY FO 'DID YOU SET 2000 FT.' HE RESPONDED; 'NO; THAT WAS FROM THE LAST FLT.' THIS IS WHEN I REALIZED AN ERROR HAD OCCURRED. SUPPLEMENTAL INFO FROM ACN 591903: THE ALT PRE-SELECT WASN'T SET TO 1300 FT. I WAS ON DAY 5 ON MY ROTATION DUTY AND I HAD WORKED AT LEAST 12 HRS EVERYDAY. FATIGUE PLAYED A MAJOR ROLE IN THIS VIOLATION.