The season breakdown in Nashville looks like this.
Winter: November 29 - March 4
Spring: March 5 - May 29
Summer: May 30 - September 16
Fall: September 17 - November 28
"Guaranteed" seasons (100% likelihood)
Winter: none
Spring: March 26 - May 6
Summer: June 27 - August 17
Fall: October 7 - October 27
"Possible" seasons (at least one year in the 58)
Winter: October 28 - March 25
Spring: January 8 - June 26
Summer: May 7 - October 6
Fall: August 18 - January 12
Interestingly, no date was found to have been in winter every year during the 58 year span. January 5-7 and January 13 - February 7 were in winter during 98% of years (57 of 58), but due to a warm January-February 1990, spring started on January 8 that year, whereas a warm December 2006 and early January 2007 meant that winter didn't start until January 13. This gives January 8-12 the unique distinction of being able to fall in three different seasons (fall, winter, and spring).
Only April and July were "guaranteed" to be fully in a particular season: April in spring, and July in summer.
Here's a chart of each season's starting and ending date.
Here is the likelihood that a particular date is in a particular season:


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