True solar time at ° is ??:??:??
The clock on your wall is probably lying to you! For most people, the sun isn't directly overhead at noon. To fix this, your clock needs to diplay time based on precise geographic location.
We already set time keeping devices using our crude location in terms of time zones, but that can lead to errors on the order of an hour! If you subscribe to the evils of so-called "daylight savings time", the error can even be two hours!!
If we had 48 time zones instead of 24, the error would be greatly reduced. 96 would be even better, and so on. If you continue down this path, you eventually just compute the current time as a function of longitude (and UTC). This webpage shows such "continuous timezone time". Essentially, this is reverting back to true solar time, or what folks used to measure with sundials!
Right now, your system reports current time as ??:??:?? which is off by ??? seconds from what it should be for the location you entered above!
I'd been thinking about continuous timezones for a while, but I was really inspired to build something after visiting Jantar Mantar in Jaipur, India where I saw Samrat Yantra, the world's largest sundial.