Rain chances will persist through Tuesday morning, but by Tuesday afternoon a rather strong cool front (for August) will be through Middle Tennessee.
The map to the right shows the front at the TN/AL border by 1PM Tuesday. The color contours show the strong upper level trough bringing in the cool front (I hesitate to call them "cold" fronts in August!).
You will feel much drier and cooler air pushing in Tuesday night and in place through the end of the week.
Highs Wed-Thu will be only in the low to mid 80s and that's with sunshine! Lows will be in the low to mid 60s with 50s in north and east Middle TN.
However, rain chances may return on Friday as an upper level low pushes into the area.