A TB-20 PILOT EXPERIENCED AN NMAC WITH ANOTHER AIRCRAFT IN THE PATTERN AT CDW.

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I CALLED THE TWR AT CDW AND WAS TOLD TO RPT ENTERING A R DOWNWIND FOR RWY 22. I HAD CALLED IN 10 MI N OF THE FIELD AND HAD BEEN LISTENING TO THE TWR FOR ABOUT 5 MINS PRIOR TO MY CALL. THE TWR WAS GIVING EVERYONE THE SAME INSTRUCTIONS WHO WAS CALLING IN TO LAND THAT WAS RPT ENTERING A R DOWNWIND FOR RWY 22. COMING FROM THE N I WAS EXPECTING AND HOPING FOR A STRAIGHT IN OR BASE ENTRY AS I HAVE BEEN GIVEN MANY TIMES IN THE PAST. THE PATTERN WAS NOT THAT BUSY AND I ONLY KNEW OF 2 OTHER PLANES IN FRONT OF ME BY THE TIME I WAS ABOUT 5 MI OUT. WHEN I WAS FLYING SW TO GET TO A POS SO I COULD ENTER AT A 45 DEGS FOR A R DOWNWIND; I HEARD ANOTHER PLANE CALL IN OVER A LCL LANDMARK; BOONTON RESERVOIR; FOR LNDG. THAT PLANE WAS TOLD THE SAME THING AS I WAS AND I KNEW THAT THE PLANE CALLING IN WOULD BE LESS THAN A MI AWAY FROM ME AT MY 2 O'CLOCK POS. I THOUGHT I WAS FAR ENOUGH S OF THE ARPT TO START MY L TURN TO ENTER THE PATTERN ON A 45 DEG FROM THE R DOWNWIND. I STARTED TO TURN L AND I CALLED THE TWR TO INFORM THEM I WAS ENTERING THE PATTERN. THE TWR TOLD ME TFC AT MY 1 O'CLOCK POS. I SAW THE TFC AND REPLIED TFC IN SIGHT. THE TWR TOLD ME THE TFC WAS LEAVING THE PATTERN. I WAS NOW ON A R DOWNWIND AND THE TFC CLBED BEHIND ME. WE WERE NEVER THAT CLOSE FOR 2 PLANES IN THE SAME PATTERN; HOWEVER THE TWR CALLED ME AND ASKED; IN THE FUTURE PLEASE FLY TO SQUARE LAKE AND START YOUR ENTRY ON A 45 DEG THERE; YOU WILL AVOID THAT IN THE FUTURE. THE TWR THOUGHT I SHOULD HAVE FLOWN ABOUT 1/8 MI FURTHER S BEFORE I STARTED MY 45 DEGS. HOWEVER THERE WAS WHAT I THOUGHT A GOOD REASON NOT TO FLY ANY FURTHER S THAN I DID. I JUST TOLD THE TWR OK I WOULD DO THAT IN THE FUTURE; THANK YOU. NOT TO TIE UP THE FREQ WITH MY EXPLANATION. THE REASON I TURNED EARLY WAS BECAUSE THE OTHER PLANE THAT I HEARD CALL IN OVER BOONTON WOULD HAVE ALSO BEEN FLYING TO SQUARE LAKE AND I DID NOT SEE HIM NOR DID THE TWR ADVISE ME OF HIM. I FELT TURNING WHEN I DID WOULD KEEP ME AT A SAFE DISTANCE FROM THAT ARRIVING ACFT. MY THOUGHT ON THIS SITUATION AFTER LNDG WAS THAT THE TWR WAS DOING THEIR JOB CORRECTLY; HOWEVER; BY GIVING SO MANY ACFT THE SAME INSTRUCTIONS COMING FROM DIFFERENT DIRECTIONS PUTS EVERYONE IN THE SAME LOCATION. IN A NON-TWRED ENVIRONMENT THIS MAY BE THE BEST PRACTICE HOWEVER WITH THE TWR.