C560 CREW TAKES OFF WITHOUT CLRNC AFTER ACCEPTING CLRNC FOR ANOTHER ACFT WITH A SIMILAR CALL SIGN ON A DIFFERENT FREQ WHEN CTLR IS OPERATING MULTIPLE FREQS.

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AT ABOUT XA30 AND BEFORE DAWN; WE WERE TAXIING AS CLRED TO RWY 10R AT INTXN B4 FOR TKOF. MY PARTNER WAS CTLING THE ACFT FROM THE L SEAT WHILE I PERFORMED COM AND RAN CHKLISTS FROM THE R SEAT. A SINGLE TWR CTLR WAS PERFORMING ALL ATC FUNCTIONS AND WAS XMITTING ON TWR; GND; AND CLRNC FREQS. ON GND FREQ; ABOUT 30 SECONDS BEFORE WE REACHED OUR ASSIGNED INTXN; WE HEARD 'ACFT X TURN L HDG 020 DEGS; CLRED FOR TKOF.' ON GND FREQ I REPLIED; 'ACFT X L TURN 020 DEGS CLRED FOR TKOF.' UPON REACHING THE B4 INTXN; WE STOPPED BRIEFLY WHILE I ASSUMED CTL OF THE ACFT FOR A R SEAT TKOF. AS I TAXIED INTO POS; MY PARTNER SWITCHED TO TWR FREQ AND FINISHED OUR FINAL CHKLIST. WE COMMENCED OUR TKOF ROLL ABOUT 1 MIN AFTER REPLYING TO THE CLRNC. AFTER REACHING ABOUT 1000 FT AGL; TWR TOLD US TO TURN BACK TO RWY HDG AND THAT THE CLRNC WE'D HEARD WAS FOR A DIFFERENT FLT X OFF RWY 10L. NO PROX CONFLICT WITH THE OTHER FLT X WAS OBSERVED. IN THE FUTURE; I'LL BE MORE CAREFUL TO LISTEN FOR BOTH A CALL SIGN AND RWY NUMBER. WHEN TWR CTLRS WORK ALONE; PERHAPS ALL ACTIVITY SHOULD BE COMBINED ON 1 FREQ. SUPPLEMENTAL INFO FROM ACN 450382: PLTS AND CTLRS NEED TO CONTINUE TO BE VIGILANT AND PRECISE WITH OUR XMISSIONS TO INCLUDE FULL CALL SIGNS. THIS BECOMES MORE IMPORTANT WHEN CTLRS BEGIN COMBINING FREQS AT ARPTS. BOTH GROUPS MUST CONTINUE TO BACK EACH OTHER UP TO ENSURE THAT MISUNDERSTANDINGS AND ERRORS DO NOT OCCUR.