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def definition def or abbrev

octavePhase

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 192def octavePhase (t : ℕ) : Fin 8 := ⟨t % 8, Nat.mod_lt t (by norm_num)⟩

proof body

Definition body.

 193
 194/-! ## Gap-45 Synchronization
 195
 196The gap-45 rung (φ⁴⁵) provides critical phase synchronization:
 197- lcm(8, 45) = 360 synchronizes the octave and gap cycles
 198- This forces D = 3 as the unique dimension with this property
 199-/
 200
 201/-- The gap-45 rung: φ⁴⁵. -/

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