CAYLEY II // octonion harmonic sequencer

integer ladders · wave mixtures · haunted

tap POWER — fano nodes show each component's harmonic number

VOICES — sine → triangle → saw

ROOT

WAVE

FAN

SEQUENCE — patterns on the harmonic series

RATE

RANGE

GLIDE

GATE

ENV

OCTONION RING — Z = Y·X

SPIN

DRIFT

DEPTH

SHIFT — Re[(I+jQ)·e^{jΔωt}]

SHIFT Δ

BALANCE

FEEDBACK

FB TIME

SHIFT MIX

MEMORY

HAUNT

OUT

ladder: harmonics climb, levels taper — a quiet Shepard staircase. prime: only the unfactorable overtones. fractal: ruler-sequence octaves, self-similar at every zoom.
gate low + env high = pointillism scattered through 8D by the rotor. glide high + walk = the lattice melts. envelopes hit X before Y·X — every pluck is smeared across components by the rotation.

CAYLEY — the octonions from message one, now an instrument.

CAYLEY // octonion ring machine

8 voices · non-associative · haunted

tap POWER — the scope is a tumbling 2D shadow of the 8D trajectory

VOICES — X = x₀e₀ + … + x₇e₇

ROOT

SPREAD

TIMBRE

OCTONION RING — Z = Y·X

SPIN

DRIFT

DEPTH

SHIFT — Re[(I+jQ)·e^{jΔωt}]

SHIFT Δ

BALANCE

FEEDBACK

FB TIME

SHIFT MIX

MEMORY

HAUNT

OUT

rotate: Y·X swirls energy through the 8 voices — |Y·X| = |X|, nothing gained, everything moved. assoc: plays (WY)X − W(YX) — zero for ℂ and ℍ; whatever you hear is pure non-associativity. haunt: ghost / memory / swap / stasis intrude on sound and image, each differently.
audio-rate SPIN = octonionic ring mod · slow SPIN + SHIFT feedback = a barberpole that breathes through eight voices.

SHIFT // bode frequency shifter

Δf, not Δpitch

tap POWER — the circle is the complex plane: x = I, y = Q = Hilbert(I)

DRONE HZ

SHIFT Δ

BALANCE

DRY/WET

FEEDBACK

FB TIME

OUT

out = Re[ (I + jQ) · e^±jΔωt ]  —  complex multiplication, audible.
barberpole: feedback .80–.90, Δ 1–8 Hz, fb time ~150 ms, full UP. ring mod: balance dead center. mic + speaker = acoustic loop — headphones, or embrace it.

here and now oracle of sounds and noise

hardware entropy

NOW-BEING ORACLE
variable dynamic time flow

— 00 —

VOID

FIELD · 3 GUITARS

VECTOR · ERHU

NOW FLOWING

the now conducts

Six textures. Each one holds for a length the entropy decides — so the rate of now itself stretches and snaps. Pitch is dead: voice roughness, mass, and the rate of the present. The erhu's only job is to become noise.

FIELD = the three guitars · VECTOR = the erhu · drop this on every phone in the room

tap to wake the screen · true hardware entropy

variable dynamic time flow of now being

A state oracle for complex abstract noise construction. It throws the next texture and a fresh duration drawn from genuine entropy — Dōgen's being-time and Bergson's durée made operational: the present has no fixed rate. Each state carries its own time-feel; the oracle dilates and compresses it further so no two "nows" are equal.

the six states

• VOID — the ground. Let silence have duration. Hairs of feedback, one barely-there bow, or nothing.
• SWARM — sparse, unsynced events. Scattered scrapes and squeals; erhu darts the register, never landing.
• GRIND — thick beating wall. Hold detuned distortion, ride the difference tones; erhu slides to find and lose the beat.
• HALO — bright high band. High harmonics and shimmer only; erhu floats ethereal at the top.
• SHATTER — violent density. Max distortion, tremolo, whammy; erhu bows behind the bridge, losing its pitch.
• SINGULARITY — collapse to a point. Guitars choke to one band; erhu detonates into pure noise, then dissolves. Line becomes mass.

Transitions are weighted toward an arc (…GRIND → SHATTER → SINGULARITY → VOID…) but entropy can jump anywhere. Wildcard probability is adjustable below.

settings

Hide the seconds (pure durée)

Vibrate on the throw

Audio mark on the throw

Wildcard / pure chaos10%

Quantum XOR — mix true quantum/atmospheric noise into every draw

Point this at any endpoint returning bytes — including a local bridge to your own entropy.py (e.g. http://localhost:8787/bytes?n=1024). XORs into crypto.getRandomValues() per sample, exactly like the pipeline. Falls back to hardware silently if unreachable.

realization log

What the entropy actually did tonight — paste it as the score / liner notes. Release as found.

(begins on first throw)

Time Lab · post anti-harmonic state conductor · self-contained, offline, no tracking. Edit freely.