It's always bugged me there's no "metric time".

1 metric minute = 100 seconds = 1.667 Babylonian minutes

1 metric hour = 100 metric minutes = 166.7 Babylonian minutes = 2.78 Babylonian hours.

1 day = 8.61 metric hours = 1436 Babylonian minutes = 23.93 Babylonian hours.

Thoughts?

I've always thought that if we are redefining time units a better solution might be 100000 metric seconds in a day (making them a bit shorter than the existing 86400 in a day) and otherwise the same relationships you've suggested:

1 metric minute = 100 metric seconds

1 metric hour = 100 metric minutes

1 day = 10 metric hours.

If rather switch to a base-12 number system