There are several ways to deal with the fact that a martian day is only a tiny bit longer than an earth day. I'm /absolutely adamant/ about /not/ redefining the second. I won't do it. I'm /against/ redefining hours and minutes to local standards, but accept that outside of mars/earth, the problem becomes more complicated.
So, I've put together this page, where I'll collect various clocks for representing Utopian Standard Time (local time in Utopia Planitia, Mars). Right now there are two timeslip clocks, and one that redefines minutes, hours, and days to present a clock that uses same-sized integer units all the way around (just for you, normal_hamer)