Gurdjieff had a theory of octaves that matured during his life into his Heptaparaparshinock which can be understood using Ernest McClain's ancient musicology. However, Gurdjieff's vision was cosmological rather than conceptual, and my interpretation finds Gurdjieff suggesting that the Moon has altered how things can happen upon the Earth. The necessity of a big moon for the arising of life and intelligent life in particular is explicit within Beelzebub's Tales and whilst working on Precessional Time and the Evolution of Consciousness, the expanded and reduced semitones of his evidently major scale can be explained, not as applying to the universe as a whole, but rather to the influence of the moon upon time.

My introduction to this film employs my "inchometer", created to demonstrate the ancient art of studying ratios through triangles having metrological (measured) lengths, especially the two longer sides of a right angled triangle.