PLT OF AN SMA SEL TRAINING ACFT HAS NMAC WITH ANOTHER ACFT DURING TURN TO FINAL DURING AN EXTENDED DOWNWIND LEG.

Narrative

UPON RECEIVING CLRNC FOR A R CLOSED TFC; I DEPARTED RWY 19. I ADVISED THE TWR THAT I WAS R DOWNWIND FOR RWY 19; TOUCH-AND-GO. THE TWR TOLD ME TO EXTEND THE DOWNWIND LEG. (A LEAR JET WAS GIVEN PRIORITY.) AS I CONTINUED DOWNWIND; I WAS ASKED BY THE TWR TO TURN L 360 DEGS AND ADVISE THE TWR WHEN RE-ESTABLISHED ON THE DOWNWIND. I PERFORMED THE TURN AT APPROX 1100 FT (TPA) AND ROLLED OUT ON AN APPROX HDG OF 015 DEGS. I THEN ADVISED THE TWR THAT I WAS RE- ESTABLISHED ON DOWNWIND. I WAS THEN TOLD TO CONTINUE DOWNWIND UNTIL I WAS N OF THE LONG ISLAND EXPRESSWAY. WHEN N OF THE LONG ISLAND EXPRESSWAY; I ADVISED TWR OF MY POS. I WAS TOLD TO CONTINUE DOWNWIND. WHEN I COULD SEE THE N SHORE; I ADVISED TWR OF MY POS; TWR REPLIED IN A HEATED VOICE THAT I WAS SUPPOSED TO TURN BASE PREVIOUSLY. I BEGAN THE TURN TO R BASE AND TWR REQUESTED MY HDG. I REPLIED WITH 150 DEGS. MANY XMISSIONS WERE MADE BTWN THE CTLR AND ME REGARDING TFC ON L BASE FOR RWY 19 (MY 12 O'CLOCK POS). MY CONFLICTING TFC WAS VISUALLY ACQUIRED 60 FT FROM THE ACFT (APPROX). I MADE A CLBING L TURN TO AVOID THE SIMILAR PIPER CHEROKEE. I WAS THEN GIVEN INSTRUCTION TO FOLLOW TFC TO A LNDG. I FOLLOWED THE TFC FOR 1 MIN AND THE CTLR ISSUED ME MANY HDG ASSIGNMENTS WHILE HE CLRED MULTIPLE (ACFT) FOR LNDG. MY FLT ENDED UPON COMPLETION OF A FULL STOP LNDG WHICH BROUGHT THIS INCIDENT TO A CONCLUSION. THERE WAS A COM BREAKDOWN BTWN THE CTLR AND ME CONCERNING WHEN TO TURN R BASE. I DIDN'T HEAR ANY XMISSION INSTRUCTING ME TO TURN R BASE AND I DID NOT VERIFY THAT XMISSION. WHEN THE CTLR TRIED TO VERIFY MY POS N OF THE LONG ISLAND EXPRESSWAY; HE SEEMED VERY UPSET THAT I WAS NOT ON BASE AT THAT TIME. I ASSUMED HE WANTED ME TO TURN BASE AND I TURNED BASE. THIS IS WHERE THE COM BREAKDOWN PRECIPITATED THE NEAR COLLISION. IN THE FUTURE; I WILL CLARIFY AND VERIFY AND ALL CLRNCS; POS OR ACTIONS WITH THE CTLR ANY TIME THERE IS DOUBT OR CONFUSION BY ME OR THE CTLR. ADDITIONALLY; I'LL MONITOR THE FREQ SO THAT I CAN HAVE SPATIAL AWARENESS OF OTHER TFC IN THE AREA.