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On MTTS stops, part 1 of WhiteRoofRadio they list the arrival time in Nashville to be between 12:30 and 1:30. Unfortunately it doesn't mention what time the the festivities start. If you listen to the show. The Memphis to Nashville run and planned events are between 47:30 and 55:00 minutes.
I've read 5:00 p.m. as the start time as well, which makes sense as the MTTS official arrival desk is at the venue, Centennial Park, and is open 4-6 p.m.