C172 AND PIPER CUB HAVE AN NMAC AT RYN.

Narrative

RWYS 6L AND 6R WERE ACTIVE. I WAS ON R DOWNWIND FOR RWY 6; CLRED #2 TO LAND BEHIND A CHEROKEE. THE CUB WAS A FEW MI AWAY CLRED TO LAND STRAIGHT-IN ON RWY 6L. I WAS WARNED ABOUT THE CUB BEING AT 12 O'CLOCK POS. I TOLD THE CTLR WHEN I SPOTTED THE CHEROKEE (AND STARTED TURN TO BASE); BUT THAT I DID NOT SEE THE CUB (WHICH THE CTLR SAID WAS BRIGHTLY COLORED). WE WERE THE ONLY 3 PLANES THE CTLR WERE DEALING WITH. I HEARD THE CTLR ISSUING INSTRUCTIONS TO THE CUB; BUT I WAS FOCUSED ON STAYING BEHIND THE CHEROKEE. THEN THE CTLR BEGAN TO URGENTLY TELL ME THE CUB WAS AT 12 O'CLOCK. SINCE I WAS TURNING TO BASE; I WASN'T SURE WHERE HE WAS REFERRING. PLUS; I WAS EXPECTING THE CUB TO BE LNDG RWY 6L; SO THERE SHOULDN'T HAVE BEEN AN ISSUE. ONCE ESTABLISHED ON BASE; I SPOTTED THE CUB AT MY 9 O'CLOCK POS; LINED UP FOR RWY 6R (MY PAX SAW IT TOO AT THIS POINT). I EXERCISED MY AUTH AND RESPONSIBILITY TO SEE AND AVOID BY EXTENDING MY BASE AND TURNING FINAL FOR RWY 6L. THE CTLR THEN SWITCHED OUR LNDG CLRNCS AND HAD A FEW CHOICE WORDS FOR THE CUB PLT FOR FAILING TO FOLLOW INSTRUCTIONS. NOT KNOWING OR CERTAIN IF HE WAS ON MY TAIL; I GOT OFF RWY 6L AT THE FIRST AVAILABLE TURNOFF; WHICH WAS RWY 15/33. THE CTLR CLRED ME TO TAXI ON THE INACTIVE RWY UNTIL I WAS CLR OF RWY 6R. THE OTHER PLT SOUNDED LIKE A CONFUSED; ELDERLY MAN. HE WAS SLOW ON THE RADIO; TYING UP THE FREQ. UNTIL I CROSSED HIS PATH; HE DIDN'T SEEM TO TRULY GRASP THE SIT. THE CTLR GOT FLUSTERED. HE PROBABLY SHOULD'VE VECTORED ME AWAY SINCE I DID NOT HAVE THE CUB IN SIGHT. HE SPENT TOO MUCH TIME TRYING TO GET THE CUB PLT TO CHANGE COURSE. RAISING HIS VOICE INSTEAD OF REMAINING CALM MIGHT HAVE FLUSTERED THE CUB PLT. I SHOULD'VE PAID MORE ATTN WHEN THE CTLR RAISED HIS VOICE WHILE TALKING TO THE CUB PLT. I SHOULD NOT HAVE TURNED BASE UNTIL I HAD THE CUB IN SIGHT. I WAS TOO FOCUSED ON MAINTAINING CONTACT WITH THE CHEROKEE. I WAS PROGRAMMED WITH THE USUAL ROUTINE OF TURNING DOWNWIND-TO-BASE ONCE THE PRECEDING ACFT HAD PASSED ME ON ITS FINAL LEG. YELLOW IS A GOOD COLOR IF YOU WANT TO BE SEEN.