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Tree of Life nature of the Greater Perfect System
There are 11 sounds other than single notes playable in a tetrachord and 22 sounds playable in two conjoint tetrachords. The Greater Perfect System consists of two octaves of two conjoint tetrachords and the starting note A. Hence, the 60 additional sounds that are playable comprise 14 notes, two sets of 22 sounds and the two harmonic intervals A-B & A′-B′.
Compare this composition of sounds with the 60 additional yods generated in the Tree of Life when its 16 triangles are turned into tetractyses. They comprise 22 pairs of hexagonal yods on the 22 Paths and 16 hexagonal yods at the centres of tetractyses. The 14 notes B-A′′ and the two harmonic intervals that start and terminate the two octaves correspond to the 16 centres of the tetractyses and the two sets of 22 sounds correspond to the two sets of 22 hexagonal yods lining Paths. Each pair of hexagonal yods represents a sound from each octave. The 60-fold musical potential of two octaves mirrors the hidden yod composition of the Tree of Life. These new degrees of freedom represent all the possible combinations of notes playable within the tetrachord structure of the Great Perfect System, which merges from this analysis as a holistic system.
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