100 seconds per minute, 100 minutes per hour, 20 hours a day. New seconds are 0.432 old seconds, or whatever ratio they need to make to quit leaping around.
The metric system is a great system because it is almost universal. Base 10, as well as the other choices for what is ideal might be argued as inferior to other measurement systems.
Since the time we are talking about is going to be used by computers it might as well be base 2.
64 seconds per minute, 64 minutes per hour, 36 hours per day. You could then choose 8 days a week, 32 days per month, and 11 months (44 weeks) per year followed by 4.24... days of festivals to the pagan gods.
Just like before, the problem is that there are exogenous values: a non-constant length of year at an Earth location, a non-constant length of day at an Earth location, and a more constant period of time defined by a lower level process of nature like caesium atom vibrations for the seconds that scientists use.