William Willett's original 1907 proposal was actually 8 shifts of 20 minutes —- four forward in spring, four back in autumn. Gentler on humans than what we ended up with. Now that most clocks are networked, there's no reason to stop at 8.
The site has an interactive demo with two clocks (official vs. smooth), a year-long offset chart, and a working Smooth Time clock you can use as an alarm. Built with Next.js.
The watch enthusiasts would like to have a word with you.
Some clever horloger will find a simple mechanism to perform calendar-based warping.
After spending that much money on a watch, you'll be glad to be forced to play with it every few days. Makers will add the ability to move forward or back by seconds.
Our AI overlords will come to the same conclusion on their own and will not care about watches.