A looping random source: the Turing machine and the analog shift register #165

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opened 2026-10-06 16:24:14 +00:00 by bcox · 0 comments

bcox commented

2026-10-06 16:24:14 +00:00

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bcox asked on 2026-10-06 for a ticket for each gap docs/modular-gaps.md names without one, whether or not it is ever done. Engine claims are from reading the tree at 6a3fede9 on main. Nothing here is built, measured or listened to.

Summary

The LFO's sample-and-hold and random walk draw a new value every wrap and never repeat; a looping random, the Turing machine's shift register with a probability of change, or the analog shift register's delayed copies, has no home. docs/modular-gaps.md reaches a carried sequence through a delay-layer loop at the feedback ceiling, losing one percent per pass, and calls a drawn lane the locked form.

What the tree has

LfoShape::kSampleHold and kRandomWalk; Lfo::SeedRandom; the per-note randoms.

The work, as a sketch

An LFO shape, or a mode of the stateful control source, holding 8 or 16 stages stepped on each wrap, with a probability lane that flips a stage as it recirculates; the analog shift register is the same stages read at offsets.

Open

The stage count, and whether the probability is a lane or a field.

bcox asked on 2026-10-06 for a ticket for each gap `docs/modular-gaps.md` names without one, whether or not it is ever done. Engine claims are from reading the tree at `6a3fede9` on `main`. **Nothing here is built, measured or listened to.** ## Summary The LFO's sample-and-hold and random walk draw a new value every wrap and never repeat; a looping random, the Turing machine's shift register with a probability of change, or the analog shift register's delayed copies, has no home. `docs/modular-gaps.md` reaches a carried sequence through a delay-layer loop at the feedback ceiling, losing one percent per pass, and calls a drawn lane the locked form. ## What the tree has - `LfoShape::kSampleHold` and `kRandomWalk`; `Lfo::SeedRandom`; the per-note randoms. ## The work, as a sketch - An LFO shape, or a mode of the stateful control source, holding 8 or 16 stages stepped on each wrap, with a probability lane that flips a stage as it recirculates; the analog shift register is the same stages read at offsets. ## Open The stage count, and whether the probability is a lane or a field.