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I’ve worked a schedule like this before (4 on/4 off) and while it’s nice at first, it wreaks havoc for long-term planning, since your schedule shifts from week to week.
Whenever I’d try to make plans with friends, I’d have to cancel 75% of the time, because I’d either be at work, or I’d have work the next day and I couldn’t be out late. Extrapolating my schedule didn’t really help anything; there’d be entire months at a time where I simply wouldn’t see my friends with normal 9-to-5s.
3- or 4-day work weeks are great, but they should be fixed in place on the workers’ end.
With our current calendar system, anything other than a 7-day schedule is going to shift from week to week. My schedule at that company was 8 days long, so it shifted ahead by one day each week. Your proposal would do the same, just in the opposite direction. Having employers stick to fixed schedules is a much easier ask than having the whole world change how we keep track of time.