from theAbyss to theAbysmal
The simplest way to approach the division of the Days of the Year lies in leaving the Leap Year question until later. Consider the 365 complete Days that occur for every Year.
In considering the Year, the Days can be further divided into 364 Weekdays plus 1 Day. In this case, the 364 Weekdays exclude the Norther Winter Solstice and Southern Summer Solstice. A 364 Weekday Year contains exactly 52 Weeks.

The Circle of 365 Days
Each individual circle represents 1 Day, whereas the large circle created by them represents 1 Year of 365 Days. The 100% Black Day represents the Winter Solstice, as the longest Night of the Year, and finds its place at the bottom of the circle. The 100% White Day represents the Summer Solstice, as the longest Day of the Year, and finds its place at the top of the circle.

The Circle of 364 Days
The 364 Days of the Year (excluding the Winter Solstice), divided into 4 Quarters of 91 Days.
91 = 13 + 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1

Northern Hemisphere - The Circle of 360 + 5 Days
The 364 Weekdays plus the Northern Winter/Southern Summer Solstice, divided into 4 Quarters, marking the Day that falls midway between the Equinox and Solstice. This image represents the Year in the Northern Hemisphere.

Southern Hemisphere - The Circle of 360 plus 5 Days.
The Circle of 52 Weeks
364 Weekdays divided into 4 Quarters of 91 Days or 13 Weeks.

Northern Hemisphere - Quarter 0, Weeks 0 to 12

Northern Hemisphere - Quarter 1, Weeks 0 to 12

Northern Hemisphere - Quarter 2, Weeks 0 to 12

Northern Hemisphere - Quarter 3, Weeks 0 to 12

Southern Hemisphere - Quarter 0, Weeks 0 to 12

Southern Hemisphere - Quarter 1, Weeks 0 to 12

Southern Hemisphere - Quarter 2, Weeks 0 to 12

Southern Hemisphere - Quarter 3, Weeks 0 to 12
The Circle of 13 Months
364 Weekdays of the Year equal 13 Months of 4 Weeks or 28 Days each.

Northern Hemisphere - 13 Month Calendar

Southern Hemisphere - 13 Month Calendar
The Circle of 7 Weekdays
The 7 Days of the Week evolved from the Hebrew and Hellenic traditions. Their Weeks began with Saturday. The Circles below indicate order of the weekdays.
The sequence around the circumference represents the order of the furthest Planet from the Sun to the nearest, where the Sun, stands in for Earth, and the Moon comes last, as it orbits the Earth.

Northern Hemisphere - The Weekday Circle

Southern Hemisphere - The Weekday Circle

Symbol Key
24-Hours by 7-Weekdays
| h |
Sat |
Sun |
Mon |
Tue |
Wed |
Thu |
Fri |
| 0 |
Saturn |
Sun |
Moon |
Mars |
Mercury |
Jupiter |
Venus |
| 1 |
Jupiter |
Venus |
Saturn |
Sun |
Moon |
Mars |
Mercury |
| 2 |
Mars |
Mercury |
Jupiter |
Venus |
Saturn |
Sun |
Moon |
| 3 |
Sun |
Moon |
Mars |
Mercury |
Jupiter |
Venus |
Saturn |
| 4 |
Venus |
Saturn |
Sun |
Moon |
Mars |
Mercury |
Jupiter |
| 5 |
Mercury |
Jupiter |
Venus |
Saturn |
Sun |
Moon |
Mars |
| 6 |
Moon |
Mars |
Mercury |
Jupiter |
Venus |
Saturn |
Sun |
| 7 |
Saturn |
Sun |
Moon |
Mars |
Mercury |
Jupiter |
Venus |
| 8 |
Jupiter |
Venus |
Saturn |
Sun |
Moon |
Mars |
Mercury |
| 9 |
Mars |
Mercury |
Jupiter |
Venus |
Saturn |
Sun |
Moon |
| 10 |
Sun |
Moon |
Mars |
Mercury |
Jupiter |
Venus |
Saturn |
| 11 |
Venus |
Saturn |
Sun |
Moon |
Mars |
Mercury |
Jupiter |
| 12 |
Mercury |
Jupiter |
Venus |
Saturn |
Sun |
Moon |
Mars |
| 13 |
Moon |
Mars |
Mercury |
Jupiter |
Venus |
Saturn |
Sun |
| 14 |
Saturn |
Sun |
Moon |
Mars |
Mercury |
Jupiter |
Venus |
| 15 |
Jupiter |
Venus |
Saturn |
Sun |
Moon |
Mars |
Mercury |
| 16 |
Mars |
Mercury |
Jupiter |
Venus |
Saturn |
Sun |
Moon |
| 17 |
Sun |
Moon |
Mars |
Mercury |
Jupiter |
Venus |
Saturn |
| 18 |
Venus |
Saturn |
Sun |
Moon |
Mars |
Mercury |
Jupiter |
| 19 |
Mercury |
Jupiter |
Venus |
Saturn |
Sun |
Moon |
Mars |
| 20 |
Moon |
Mars |
Mercury |
Jupiter |
Venus |
Saturn |
Sun |
| 21 |
Saturn |
Sun |
Moon |
Mars |
Mercury |
Jupiter |
Venus |
| 22 |
Jupiter |
Venus |
Saturn |
Sun |
Moon |
Mars |
Mercury |
| 23 |
Mars |
Mercury |
Jupiter |
Venus |
Saturn |
Sun |
Moon |
The sequence, if read vertically, corresponds to the sequence around the circumference of the 7 Weekday circles above. The top square of each column represents the first Hour of the Day, and if read horizontally from left to right, corresponds to the sequence of Weekdays.
The Perpetual Month
This perpetual Calendar has 13 perpetual Months or 52 perpetual Weeks, or 4 perpetual Quarters, or 26 perpetual Fortnights for that matter.
Northern Hemisphere - Perpetual Calendar Month

Southern Hemisphere - Perpetual Calendar Month