I'm working on a Roman Empire clock along the same lines, but mine counts time according to the Roman Empire tradition. So daylight is divided evenly by twelve hours, starting from visible sunrise until visible sunset. So in the winter, the daytime "hours" are about 45 min long at my latitude, and in the summer, the daytime "hours" are about 75 min long.
I made mine so I could pray the hours (first hour, third hour, sixth hour, ninth hour), but I wanted to reckon the time for my current location, tied to the solar day, instead of linear time. It's been a fun project. I have it working on my phone with notifications, and the next step is to build it with an e-ink display and gps so that you can use it while traveling to change to your location.