Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP)
Communication Breakdown; Confusion
ATC Issue All Types; Deviation / Discrepancy - Procedural Clearance; Ground Incursion Taxiway
Air Traffic Control Issued New Clearance; Flight Crew Returned To Clearance
Human Factors; Procedure; Environment - Non Weather Related
Aircraft was stopped at intersection X waiting to taxi to [Runway] XR. Last ground instruction was to use Taxiway E; but then was changed to follow company off right by different Controller. FO and I both missed transition to Taxiway F instruction. Controller said 'No big deal;' but it was clearly a pilot error in not understanding and reading back correctly the instructions. Day five of flying led to slight fatigue; coupled with change of ATC instructions leading to failure.
We were approaching ramp number [X] from the gate for departure.  Contacted Ground for taxi clearance.  They instructed us to proceed onto Taxiway Echo westbound to Runway YR; the rest of the transmission was difficult to understand.  We; instead; turned westbound on Taxiway Foxtrot. While I was trying to interpret what the second part of the transmission while I was starting the number one engine; a second Controller informed us of our error.  Lots of time compression and task loading along with part of the Ground Controller's transmission being difficult to understand.  The airport was busy; lots of aircraft simultaneously taxiing in and out with numerous 'stepped on' transmissions.  An additional 'additive condition' was the Ground Controller's transmission.  I believe a contributing factor was mask wearing in the Controller facility.  If this is true; they need to standardize what type of masks they wear and work harder to enunciate their syllables.
Air carrier flight crew reported turning the wrong way on taxiway due to not clearly understanding Controller instructions. FO stated controllers wearing face masks could have contributed to them not clearly understanding the clearance.