FLC OF AN SMA SEL TRAINING ACFT INADVERTENTLY 'CUT ANOTHER ACFT OUT OF THE TFC PATTERN' DURING TURN TO FINAL.

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LATE ON DOWNWIND (OPPOSITE LNDG POINT) I WAS ADVISED TO FOLLOW TFC S OF ARAPAHOE ROAD ON BASE (I DO NOT REMEMBER RECEIVING A SPECIFIC DISTANCE S OF THAT LANDMARK. SUBSEQUENTLY I WAS ADVISED TO ALLOW SPACING FOR THAT TFC TO COMPLETE A FULL STOP LNDG. I DID ALLOW SUCH DISTANCE AND TURNED FINAL TO FOLLOW THAT TFC. AFTER THAT TURN; THE TWR ADVISED ME THAT I CUT OUT TFC; WHICH IN REALITY WAS PROBABLY ALL OTHER ACFT WHICH WAS S OF ARAPAHOE (AND PROBABLY ALSO ON BASE). SUBSEQUENT TO THE 'CUT OUT' INSTRUCTION; I WAS ADVISED TO MAKE A GAR TO THE L SIDE OF RWY 35R WHICH WOULD HAVE PUT ME BTWN 2 PARALLEL RWYS. I CALLED FOR REVISED CLRNC; AND WAS ADVISED TO LAND. AFTER THE FLT; THE 2ND TFC ACFT PIC INFORMED ME OF A 'NEAR MISS.' IT WOULD BE HELPFUL IF: 1) TA'S WERE MADE EARLIER IN THE PATTERN TO ALLOW ADDITIONAL TIME TO SCAN FOR TFC. 2) TA'S WERE MADE MORE CLRLY WITH RESPECT TO SPECIFIC DISTANCES; LANDMARKS; OR SPECIFIC SEQUENCE NUMBERS TO HELP THE PLT SCAN. 3) TFC PATTERNS AT BUSY ARPTS SHOULD BE KEPT TO NORMAL SIZE; NOT ALLOWED TO STRETCH OUT BECAUSE OF HIGH TFC LEVELS.