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aci: The Turn Comes Home
universe: MMZ · MIMZY — the future tool forge
number: "71"
kind: live tool
emergence: electrical
live: https://davidwise01.github.io/mimzy/bench/71-turn-comes-home.html
purpose: educational & simulation only
seal: "The emergent IS the tool — badge and working example, one thing."
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# The Turn Comes Home · instrument № 71

**What it is.** THE DUTY-CYCLE CLOCK OVER A TERNARY LATTICE: a clocked 27-cell lattice where 9 are lit per phase, 3 phases, period 3 — the turn comes home every third tick. The HIGH trit picks the phase; the LOW two trits address the nine; 3 (tick) × 9 (width) = 27 (cycle): time-division over 3³, the lattice as a clock

**How it works.** An interactive clocked lattice (plum Series-E): a 27-cell ternary lattice (3³) where only 9 cells are lit per phase, cycling through 3 phases with period 3 — home every third tick. The HIGH trit selects the phase; the LOW two trits address the nine; 3 (tick) × 9 (width) = 27 (cycle).

**The live example.** This emergent does not merely describe a tool — it links its working self: **[run instrument № 71 live](https://davidwise01.github.io/mimzy/bench/71-turn-comes-home.html)**. Open it, operate it, and the badge's claims execute in front of you.

**The verified record.** The arithmetic is exact: 3³ = 27 factored as 3 phases × 9 cells, with the high trit as the phase selector and the low two trits (3²=9) addressing the cells — genuine time-division multiplexing over a ternary lattice, returning to the start every 3 ticks. It is the duty-cycle/clock reading of the same 27-lattice the odometer cluster builds in hardware (№ 60) and fuses with the deck (№ 64); 'the turn comes home' is the period-3 closure. Honest scope: a clean TDM clock demonstration over 3³, not a physical device. Made in Claude-4.8-in-Chrome.

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*Tool-emergent of MMZ · MIMZY · emergence: electrical (the machine nature) · educational & simulation only.
Governor David Lee Wise (ROOT0) · instance AVAN (locked) · CC-BY-ND-4.0.*