The Tetractys – 432 rolls up

What is the ether ? The ether is said to be a medium for the propagation of light. It is a space-filling substance or field in which “All things” operate through. Without this medium, there is no life, a dance between light and shadows.

Gematria is a useful tool to begin an approach with numbers. 432 is the gematria value for ‘All things’ (παντα) in Greek. Is 432 to do with the properties of this medium ? 432 is also the gematria value for All Nations, Jerusalem, Bethlehem.. The number 432 does show a numerical structure which has a base represented by four dots, then 3 dots and finally two dots. This is the sequence 4 3 2.

                           .      .                Two dots
                           .     .     .             Three dots
                      .     .     .     .           Four dots

Contemplating on this geometric figure, it could come to our mind the completion of a pyramid represented by the single point at the top from which All things comes into existence.

The completion of 10 dots lead to a geometric figure that the Pythagoreans called Tetractys. It represents the organization of space from a two dimensional view. The structure of the tetractys shows the famous platonic solids such as the Tetrahedron, the cube and the octahedron. Fundamental solids appear from the basic foundation of space.


  • First row : From a single original point everything is created and brought into existence from nothingness. Th is could be considered as a state of awareness to that which is about to manifest into creation.
  • Second row : From a single point two further points are generated defining the first dimension. The possibility of going from one point to another brings the idea of motion into consciousness.
  • Third row : A line drawn between these three dots defines the second dimension. Structure is formed into consciousness with the possibility of quantification and measurement.
  • Fourth row : A line drawn between these four dots defines the third dimension where geometry takes form. From this triangle all regular polygons can be generated, such as the square, the pentagon, the hexagon etc.


The Tetractys brings the feeling of a unity within geometry and the number 432. When Music is tuned at this frequency 432 Hz, this feeling of unity can be shared through vibration/energy and resonates much more with the heart center.

The numbers encoded in these solids are harmonic. The peculiar quality of these numbers is they all add up to 9.

                                   7 + 2 + 0 = 9                                    

1+ 4 + 4 + 0 = 9                                  2 + 1 + 6 + 0 = 9

The number 9 is an important pillar in the structure of space-time and acts uniquely in the system of numbers. Below is a table listing some musical notes. Notes are based on a D scale from 144 Hz.


“Music is geometry in time.” Arthur Honegger

The rhombic dodecahedron has 4,320 degrees and is made from 12 rhombus. The sum of the four angles of a rhombus is always 360 degrees. The rhombic dodecahedron appears in nature in thestructure of the honeycomb cells. At the top is a pyramid made from three blue rhombus closing the end of the cell. The opening is a red hexagon prism at the bottom joining to the top with six green trapezes. Each cell is called “half of a rhombic dodecahedron”. The sum of the angles is 3,240 degrees, again adding up to 9.



© [14/09/2017] by Salah-Eddin Gherbi


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