Tag: 9-month calendar

New Divisions of 365

Dividing the year into 9 and 11 months, respectively.

Lately I’ve been using mathematics quite a bit in determining various ways to organize the days of the year in order to create visualizations to make the entire year easier to imagine. In this case, the sums of consecutive squares divides the year into even measures, and also allows us to visualize the days as squares.

Here are two more regular, symmetrical arrangements of the 365-day year.

9-month year

365 = 142 + 132

This creates a year that alternates between 14-day weeks (fortnights) and 13-day weeks. This creates a year of 27 weeks, which can be arranged by months of 3 weeks (alternating 41 and 40 days) and terms of 122, 121, and 122 days.

image of the days of the year arranged radially. At the circumference, each day is represented by a circle shaded according to the amount of daylight each receives, from white at top to black at bottom. Days are organized in 9 months, each of which is 3 weeks alternating 41 days and 40 days. The myear progresses clockwise from top: months numbered 0 to 8, terms numbered 0 to 2. At centre is the number 365
365 days of the year in 9 months

11-month year

365 = 102 + 112 + 122

Each month is 3 weeks long, although the arrangement of each is slightly different. For months 0 to 3, the months progress 12-11-10, month 4 is unique with 12-11-12, and months 5 to 8 progress 10-11-12

radial visualization of the days of the year. at the circumference, the days are represented by circles shaded from white to black in greyscale according to the amount of daylight, from winter at bottom to summer at top. Days are arranged in months of 3 weeks. Each month is made up of a 10, 11, and 12 day week, with the exception of month 5 which has 12-11-12 day weeks. The year progresses clockwise from top. The months are numbered 0 to 10. the terms are numbered 0 to 2. At centre is the number 365.
365 days of the year in 11 months