Form implied by the Kaaba’s Walls

The Kaaba appears to express a geometrical progression of adjacent odd numbers starting with one and three. This differs from the super-particular ratios found within the right triangles of astronomical time periods formed by the Megalithic, in which the ratio pairs separated by only one rather than by two, between only odd numbers. However, the multiple-square rectangles used by the megalithic to approximation celestial ratios, made use of the three-square rectangle. In one of the smallest of these rectangles, it simultaneously approximates two pairs of ratios: The eclipse year (346.62 days) to the solar year (365.2422 days) and the solar year to the thirteen lunar month year (384 days).


Figure 1 The three-square approximations in a triple series of astronomical periods. Note that the diagonals relative to the base are the result of having three squares in a rectangle then one high and three along – and two different. Two such rectangles geometrically sum (their angles) to give that of the (First Pythagorean) 3-4-5 triangle, 36.8 degrees.

If one adopts a square of 36 inches side length and projects outwards from the triple-square, one generates succeeding “odd couples” 3:5, 5:7, 7:9 and then 9:11 inside the walls and then 11:13 as the normalised plan for the Kaaba. (see Three Keys to the Kaaba)


Figure 2 The geometrical progression of odd sided rectangles leading to the Kaaba wall plan.

This suggests that the design was to include the building within an implicit progression of odd-sided rectangles for reasons connected to the monuments orientation to astronomical time (lunar maximum standstill) and the facility of the triple-square “origin point” for the geometrical progression and of the triple time periods relating to the lunar nodes, in figure 1.

When the unit side length for this architectural grid is the plain yard of three (English) feet (36 inches,) then

  • The inner perimeter is 9 x 2 + 11 x 2 = 40 yards, 120 feet and 1440 inches, 1,440 being the number of Adam.
  • The outer perimeter is then 11 x 2 + 13 x 2 = 48 yards, 144 feet, or 1,728 inches, 1728 being 12 cubed (one possible meaning for the Kaaba name) associated then with Arks and Ages in the ancient traditions.

The 11 by 13 rectangle is therefore the perfect scheme for expressing Adam, (whose temple the Kaaba was said to originally be) in relation to the head number (sans zeros) of Krita Yuga number 1,728,000.

We can investigate why the inner and outer wall perimeters of the Kaaba could have been set to 11 and 13 units, through a property of the squares of odd numbers.

Figure 3 The role of 13 in defining the diagonal of the square of 7 as 49

Figure two showed a connection between the odd ratio of 1:3, symbolic of eclipse cycles, and the likely intended 11:13 ratio of the Kaaba’s perimeter. Another bridge between these ratios is clear when one forms the “lambda” diagram of odd numbers for 7, on the left of figure 3. Adding all the numbers gives the square of 7 or 49. Similarly, if 9 was at the apex and 17 the limit, the sum would be 81, the square of 9. There must be a general rule involved, as visually demonstrated on the right of figure 3.

The number 49 is related to the sacred Jubilee calendar of 49 years, each arguably of 364 days, which divides by the seven day week as 52 whilst the Saturn synod divides as 54 week and that of Jupiter by 57. Saturn/Cronos came to be associated with the sacred number seven, in this way, and the planet Saturn forms the outer limit of the visible planets. For further development of the 364 day calendar, see chapter ten of Harmonic Origins of the Earth.