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.