https://en.m.wikipedia.org/wiki/Decimal_time

Nah, not my job. I don't claim to have any better solutions, I just know that for almost every problem we've ever solved, we probably haven't found the MOST efficient solution. People should be questioning everything, even the most basic, because that's how stuff gets better.

Personally I love the dozenal clock, which divides a full day in 12 equally sized chunks (of two current hours) then each of those are equally divided into 12 chunks (of 10 current minute) that gives you your two main "clock hands" the larger one circle around the clock once a day, the other one 12 times a day (every two hours), the number on the clock would go from zero to nine then dek and el (like the famous dozenal proposal), the number zero would be at the bottom that way the main hand of the clock would roughly follow the position of the sun around the clock when facing south. Then you can have a third hand on the clock which circles 144 times a day (every 10 min), and then a fourth hand would do a full rotation every 50 second. The time would be denoted using one digits for the position of each hand,

Here are a few conversion examples:

1:2:3 would mean 2 hour 22 minute and 30 seconds in the morning,

4:5:6 would mean 8 hour 55 min 00 sec in the morning

9:X:E (nine dek el) would mean 7 hour 49 minute 10 sec in the afternoon

Of course you wouldn't need the full precision, we usually round the the closest quarter 9:X:E (nine dek el) would probably be rounded up to 9:E (nine el) for 7:50pm