I always thought it would make sense to have 52 weeks (364 days) and then a special New Years day and then repeat 52 weeks.
This way every year is the same. It's always the same day of the week on April's 13th. No moving holidays. Easier to plan. No adjusting schedules. No problem with leap seconds/days (just as them to the special day whenever).
It just seems like a simple and superior solution. What were those guys thinking...
It's a bit different though. I think the are reasons for 12 months, 7 days per week, 3 months quarters etc. My version keeps it all and avoids points in "disadvantages" section of the Wikipedia article.
7 days per week seems to be so ubiquitous now because religions that depended on that particular cycle (Judaism originally, and from thence Christianity and Islam) are so popular. But, historically, societies have successfully existed with weeks ranging anywhere from 5 to 10 days. Romans, in particular, had an 8-day week for most of their history.
(7 days per week has a more natural meaning if your calendar is lunar overall, so that weeks can be aligned with months. But lunar calendars are overall very messy due to disagreements with the solar cycle, so it's best to not go there in the first place.)
How about three 90 day quarters comprised of three 30 day months and one day in between each quarter for each solstice and equinox day? You can add a day or a week periodically to keep it synced.
This way every year is the same. It's always the same day of the week on April's 13th. No moving holidays. Easier to plan. No adjusting schedules. No problem with leap seconds/days (just as them to the special day whenever).
It just seems like a simple and superior solution. What were those guys thinking...