I've been fiddling with the 24 hour one, manipulating so that the timezones follow national borders rather than passing through nations.
Though, for some big nations the country will still have to be split, in which case I need to know the internal borders of the constituent provinces/states/cantons/prefectures etc. You are one such nation Myroria by the way.
And as for how many "hours" there are to a Taijitan day, it has nothing to do with the planet. It's just an arbitray division of the day's length into an arbitrary number of divisions. Just redefine "hour" and you can have as many as you want in day. Anyway, I say we stick with 24 for familiarities sake.