Falcon 2000
Flight Crew Air Transport Pilot (ATP)
Communication Breakdown; Situational Awareness
ATC Issue All Types; Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy
Air Traffic Control Issued New Clearance; Flight Crew Returned To Clearance; Flight Crew Became Reoriented
Human Factors
We filed and were set up for the FINGR5.FSM STAR.  As we approached FSM we were recleared for the SLANT2 arrival direct CAMAL; which the controller pronounced 'CAM ALL' We looked at the FMS arrival and saw 'KLAWW' transition.  We read back 'SLANT2; direct KLAWW.'  We then programed the SLANT2 and proceeded direct KLAWW. As we were trying to figure out why ATC cleared us for that transition and were about to ask for direct CAMAL for CAMAL transition; ATC called and sounded a bit confused and said that CAMAL might be a better route for the transition. (Honesty; I cannot say what the exact conversion was; except that ATC seemed confused and recleared us to CAMAL.) We explained that we read back and were proceeding direct KLAWW.  ATC ask if KLAWW was on another arrival and we explained it was another transition on the SLANT arrival.  ATC said that that was the first time it had happened to him and that he should probably pronounce CAMAL as 'CAMEL'.We had ATC on speaker and there was some wind noise which might have contributed to us mishearing CAMAL as KLAWW.  Our read back was not contested by ATC.In my opinion; two initial transition fixes on the same arrival should not sound so similar in pronunciation; 'CAMAL' and 'KLAWW;' as such distinctions can be; and were; so easy misunderstood by both the flight crew and ATC in the VHF radio and cockpit environments.
Falcon 2000 Captain reported deviating from cleared track on the SLANT2 arrival when ATC cleared them to CAMAL and they navigated toward KLAWW. Contributing to the issue was how the Controller pronounced CAMAL.