Can't we go all in this time? Global time? Make it metric in the process. 0 days is at midnight. 1 is right before the next day starts. Global, as in 0 is midnight at Mar-o-laga.
Decidays, centidays, millidays, ...
Or we could go for an SI-unit. Kilo seconds, megaseconds, ...
If I were in charge, I would fix this in a day.
I used to be pro-metric, but now, in this age of computers, I'm now pro-binary. I'd come in w/ a completely new system
For example, for weight, instead of defining the number of molecules in a mole of an element as 6.023x10^23, I'd take 604,462,909,807,314,587,353,088 or rather 6.045x10^23, which would be exactly 2^79. Then make every binary based fraction or multiple of it - 1/2, 1/4/, 1/8 or 2, 4, 8....... the other units of measurement built around it. Similarly, for distance, I'd take the wavelength of a particular color of light, like the one currently used in defining a meter, and then multiply that w/ an appropriate power of 2 to give us a distance in the range of a kilometer to a mile
For a day, I'd re-define the minute as 64 "seconds" and hour as 64 "minutes": only thing - a day would then have 21 hours, since its duration can't be altered. Maybe if we could alter the length of a second so that only 16 such "hours" constitute a day? Only problem: we still can't do anything about the year having 365 days