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Forms of the Plane · 3D

Enneagram of the Octave

The circle rising through a scale

Enneagram of the Octave, drawn as a glowing line figure

Gurdjieff read the enneagram’s circle as a musical octave: do at 9, then re, mi, fa, sol, la and si around it, with 3 and 6 where the scale needs a shock to carry on. Let the octave rise and the circle becomes one turn of a spiral, ending above where it began. Seen from above it is the flat enneagram again.

Points
9
Turns
1
Notes
do re mi fa sol la si

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Turn it in your hands, strike it to hear the chord of its edges, slice it with a plane.

Facts

  • Point 9 is both the do the scale starts from and the do an octave higher: the same place on the circle, one level up.
  • The triangle 3 · 6 · 9 no longer closes. It climbs the octave with the scale, from do to do.
  • The hexad 1 · 4 · 2 · 8 · 5 · 7 still closes, crossing the spiral back and forth like the digits of 1/7 repeating.

History and meaning

In Gurdjieff’s teaching every process is an octave. Between mi and fa, and again between si and do, the scale lacks a semitone, and something from outside must enter for the process to go on. The enneagram places those shocks at 3 and 6.

Across the dimensions

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