Some people, groups, or governments could change over on a case-by-case basis to a week-based system, without a sudden change to the worldwide date system. Just label the weeks with numbers, e.g. 1-Wednesday, 27-Monday, or 52-Sunday for Christmas this year.
It seems Chinese people generally don't remember the time of week so much as the Month and date. Whenever someone in China tells me "this is happening on the 28 November", in my mind I have to work out what day of week it is before I can internalize it in my memory. Chinese seem to just remember the month and date. Schools often say "Monday's and Tuesday's timetable will be shifted to the previous Saturday and Sunday, respectively".
And of course their idea is Western-centric. Chinese and Muslims both have their own calendars for festivals.
I don't know how popular this is at other companies, but Intel (or at least my group) does use a week-based system for all dates. Today (December 28) would be "WW53.3". WW53 is the work week and .3 means Wednesday. Weeks start on Monday as ".1", whereas Sunday is ".0" and Saturday is ".6".
While this system should in theory make it easy to calculate the days need to complete a task, I still find myself converting to Month-Day every time. On the other hand, I don't have a clue what day of the week March 2nd is going to be, but if it's called WW9.5, then I immediately know that it's on a Friday 9 weeks from now.
That is because most the Chinese are hard working and do not work on a 7 day work week. Most Chinese get X days off per month or X days per 10 days if more than 3 days off per month. Not X days per week.
I believe most Ayis get 1 day off per month. Factory workers 1 day off per 10 days. Office workers 1 day off per week.
Actually, with the bigger factories their workers are getting 1 day off per week (e.g. established textile factories, foxconn, etc.).
It seems Chinese people generally don't remember the time of week so much as the Month and date. Whenever someone in China tells me "this is happening on the 28 November", in my mind I have to work out what day of week it is before I can internalize it in my memory. Chinese seem to just remember the month and date. Schools often say "Monday's and Tuesday's timetable will be shifted to the previous Saturday and Sunday, respectively".
And of course their idea is Western-centric. Chinese and Muslims both have their own calendars for festivals.