The spreadsheet below illustrates the various calendar options I discuss in my paper "The Mighty Dozen -- Musings about a dozenal system", chapter 5; and that are options in my RPN Crunch calculator web app.
There's 3 calendar options:
Gregorian, our traditional calendar, in use since 1582. There's 365 or leap 366 days. The leap day is inserted at end of February.
NuAge, this is a perennial calendar of 360 days, with 5 or leap 6 blank days. The 5 or 6 blank days fall outside the day of the week cycle. I've called the blank days, Peace. They are inserted in a way to align the start of each calendar quarter with a solar event quarter (as near as possible, definitely an improvement on the Gregorian calendar, and slightly better than the sym454 calendar. The 360 day year is organized as 60 weeks of 6 days per week. There's no Wednesday. This calendar is very dozenal friendly. Weeks are a half dozen. There's a dozen months. Each month is 2 and a half dozen days. A year is 5 dozen weeks, and 2 and a half gross days (1 gross = 1 dozen * dozen). With this perennial calendar, the year, quarter, month, and week start on same day of week.
Sym454, another perennial calendar, this one with 364 days, with 1 or leap 2 blank day. The 364 days are organized as 52 weeks of 7 days each, similar to the Gregorian calendar, except each month is exactly 4 or 5 weeks. With each quarter, the months are 4 weeks (28 days), 5 weeks (35 days), and 4 weeks (28 days), thus the symmetry name, Sym454. Not dozenal friendly, but provides the advantages of a perennial calendar.
All calendars allow 3 winter solstice (WS) and new year's day (NY) combinations:
WS 21 December, and NY 1 January. This is what we have now.
WS 1 December, and NY 1 March. This makes February the last month. Notice that September, October, November and December return to being the seventh, eighth, ninth and tenth months they originally were.
WS 1 January, and NY 1 January. New Year's day becomes a solar solstice event.
There's a means to display the year and date of the month in base ten, or twelve (dozenal). There's also an option to display the underlying original Gregorian date for any calendar option.
Shown is the NuAge calendar, with Winter Solstice (WS) 1 Dec & New Year (NY) 1 Mar, and all numbers displayed in dozenal.
The drop down options aren't active on this web page. In order to experiment with the different calendar options, you'll need to follow the go to link icon (upper right corner). Spreadsheet will open in your browser. You need to be logged in as a Google user. Sheet is shared with you as viewer. To make changes, you need to save a copy of the sheet onto your Google drive. Then you may select the drop down options you want to display, and after a short delay, the calendar updates.