151110-1721 EST
iwire:
Find a young person that likes to play with computers, electronics, and programming.
Have that person marry a small micro-computer with some form of Dallas real-time-clock and some solid-state relay to perform your function.
I started using a Dallas DS1216 in 1992. There are many different versions of this basic concept that have evolved over the years. Basic accuracy is quite good, but more accurate ones are available, and some are synchronized to the AC line to reduce cumulative error.
One bullet point is:
"
- Keeps Track of Hundredths of Seconds, Seconds, Minutes, Hours, Days, Date of the Month, Months, and Years
"
Also handles leap years to 2100. All battery backed up.
See at least
https://www.maximintegrated.com/en/products/digital/real-time-clocks/DS1216B.html
,