I don't know what dumbass designed week and month lengths so that months always start on different days but I reckon they need some sort of reorganisation... how about this:

Ten days to the week:
Monday
Tuesday
Wednesday
Chillday (no work)
Pooday
Cheeseday
Thursday
Friday
Saturday (no work)
Catday (no work)

Three weeks (3 x 10 = 30 days) to the month:
Splurgeweek
Brokeweek
Payweek

Twelve months (30 x 12 = 360 days) to the year:
Firstuary
Deuceuary
Tertuary
Quads
Penton
Sexy
Juicy
Octust
Nonember
December
Elevenember
Twelvetember

Plus an extra five (or six, in leap-year) days at the end of the year which are all non-working days and are called:
New Year's Eve Eve Eve Eve Eve (or Coolday)
New Year's Eve Eve Eve Eve (or Wootday)
New Year's Eve Eve Eve (or Awesomeday)
New Year's Eve Eve (or Niceday)
New Year's Eve (or Newyear'seveday)
{in leap-years} Surprise Bonus Extra Holiday Day!

New Year's Day is a Monday, but also a non-working day.

This fabulous arrangement would still give 251 working days a year, whilst also making sure you work alternately three and then four days on the trot (because five is really one too many), and get a guaranteed eight-day break at the end of the year.