Cosmic Weave to scale, color: the periodic table

Explanation of the Cosmic Weave Model to scale.

Note: The vertical dimension is the frequency of each note to scale.  So the first octave of the "1s" spiral is actually twice as tall as the second octave of the 1s.

According to G. I. Gurdjieff and the Fourth Way, the universe was generated by the Law of 7 (the law of Octaves: manifestation over time), and the Law of 3 (the law of relationship: three forces being required for any manifestation).  This model is an illustration of the 19 outer octaves that generate matter, and hence the periodic table. This was developed by Russell Smith in his book,"Gurdjieff: Cosmic Secrets" (available  at thedogteachings.com ), and is based on the information in G.I. Gurdjieff's book, "All and Everything". This provides a verifiable scientific application of the law of 7 and the law of 3, and as such is a major breakthrough in providing scientific verification of those laws.

Each octave spirals down, creating notes in the diatonic scale of decreasing frequency.  At the 1/3 points of each octave, the diatonic "LA" and "FA",  a new octave, a new force begins, creating its own octave, which also spirals down.  The first octave is the "1s", the innermost electron shell of the atom,  the original ‘Supreme’ octave.  It is the tallest octave in the attached elevation view. (Frequency - the z axis -  is measured by the distance  up from the bottom at 324 to the top at 1296.  (See the elevation view, and Cosmic Secrets, pages 104-119.) 

Each octave that contains notes of the same frequency as a note in the first member of each ‘family’, or orbital type, is also in the same family, and is colored to match, and labeled sequentially  (e.g. the 1s, 2s, 3s, etc).  If a subsequent octave has NO notes of the same frequency as notes in the first octave of a prior family, it becomes the first octave of a new family. The subsequent families to the ‘s’ octaves (p, d, and f), are each generated in this way, and the families are so labeled to match the common names of the atomic orbitals. Each of the 19 octaves is labeled in the accompanying labeled top view.  The intervals between the notes in each octave are colored to indicate the family (orbital type) to which the entire octave belongs (s, p, d, or f). 

The 19 octaves appear in the following order, in the sequence of decreasing frequency of their initial note 'Do'), as they are generated by preceding octaves, starting with the first "Supreme Octave", the 1s:  1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s, 5f, 6d, 7p.    Each new octave begins at one of the points where the two lower frequency forces are located in a previous octave, that is, at its La or Fa.  The order in which the octaves are generated is exactly the order in which the atomic orbitals of the elements are filled with electrons!  Therefore, this "Cosmic Weave" model leads directly to the generation of the periodic table. To see how these octaves are generated one at a time, please see the smaller model, "Down Octaves of the Periodic Table", which does not include the notes above the initial ‘Do’ of each octave.

Each note of the octave is represented by a different polyhedron or 3D solid (Do-sphere, Ti-Icosahedron, La-Cuboctahedron, So-Dodecahedron, Fa-Octahedron, Mi-Cube, Re-Tetrahedron). The notes in the FIRST octave of each family (1s, 2p, 3d, and 4f) are all colored to match the color of the octave itself.  Other notes are colored to match the color (family) of the octave they are in, UNLESS they have the same frequency as one of the notes in an octave of a different  family (s, p, d, or f) later in the sequence. These notes are colored to match the color of that same frequency note. (There are 24 such notes colored differently from the octave they are in. For those who are studying this work, this is a significant distinction – see Chapter 7 of Russell’s book.)                            
This model appears with the permission of Russell A. Smith.