The Two Poles of the Ladder

The same ladder runs to two poles. Structures that must bind sit on its teeth — the octave and √2. Structures that must never overlap flee to its one gap — the golden ratio. Which pole a structure takes is fixed by what it is for.

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lock — the teeth (×2, √2) anti-lock — the gap (φ · blue noise · primes) the brain — at both poles
▶ Auto-Touring