The three temperature units

You can't even divide that day into an even number of units.

What? Of course you can. (Theoretically - it's obviously no longer possible from a social perspective. That ship has sailed.) Hours, minutes, and seconds aren't, to my knowledge, based on everyday external factors (oscillations of cesium isn't an everyday factor).

Define days and years based on the relative motion of the sun-earth-moon system. As you note, those are important cycles. Not a lot we can do about the day-year conversion.

Then define one hour to be 1/10 of one day.
Define one minute to be 1/10 (or 1/100) of one hour.
Define one second to be 1/10 (or 1/100) of one minute. If necessary (e.g., if one chose tenths), define further subdivisions of time.

Using 10 newhours in a day, 100 newminutes in an newhour, and 100 newseconds in a newminute, we'd have 100000 newseconds per day, as compared to the current standard of (roughly) 86400 oldseconds. (More accurately, we'd have approximately one newsecond per 7879398660 periods of cesium oscillation.)

So there would be roughly 70 newseconds per oldminute - hardly a serious change in day-to-day life. We wouldn't need to revise our interpretations of "just a sec," "a few seconds," or "the seconds are ticking by." Obviously, the impact on having to rework every timekeeping device and written record is a problem.

If we wanted to maintain a consistent 1/10 ratio, we'd probably want to create some new distinctions - likely a total of five, thereby maintaining a smallest unit of roughly the same length as an oldsecond. Time would presumably be expressed in decimal format, with, e.g., 8.4325 meaning the eighth hour, fourth decaminute, third minute, second decaseconds, and fifth second. (One could use decihours and deciminutes, but I found deca- more appealing. One could also coin new terms, e.g., timute and tecond for ten-minute and ten-second.)

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