From asi
Sonifies GF(3) color streams from Gay.jl using CatSharp scale, mapping hues to trit waveforms and pitch classes, played via sox in Python/Julia/Babashka.
npx claudepluginhub plurigrid/asi --plugin asiThis skill uses the workspace's default tool permissions.
Sonify deterministic color streams using the CatSharp scale (Mazzola's Topos of Music).
Establishes Galois adjunction between agent-o-rama and Plurigrid ACT via CatSharp Scale, mapping pitch classes to GF(3) trits for hyperedge generation, verification, and transformation.
Generates emergent algorithmic music patterns using Pattrns Lua engine in Renoise. For euclidean rhythms, evolving breakbeats, generative melodies, textures, and live coding in breakbeat, IDM, jazz, ambient styles.
Guides Next.js Cache Components and Partial Prerendering (PPR) with cacheComponents enabled. Implements 'use cache', cacheLife(), cacheTag(), revalidateTag(), static/dynamic optimization, and cache debugging.
Share bugs, ideas, or general feedback.
Sonify deterministic color streams using the CatSharp scale (Mazzola's Topos of Music).
seed ⊣ γ ⊣ color ⊣ hue ⊣ pitch ⊣ freq ⊣ tone
| Hue Range | Trit | Role | Temperature |
|---|---|---|---|
| 0-60°, 300-360° | +1 | PLUS | warm |
| 60-180° | 0 | ERGODIC | neutral |
| 180-300° | -1 | MINUS | cold |
| Trit | Waveform | Character |
|---|---|---|
| +1 | sine | smooth, harmonic |
| 0 | triangle | balanced, neutral |
| -1 | square | harsh, digital |
pitch_class = floor(hue / 30) mod 12
30° per semitone maps the color wheel to the chromatic scale.
| Pitch Classes | Trit | Structure |
|---|---|---|
| {0, 4, 8} (C, E, G#) | +1 | Augmented triad |
| {3, 6, 9} (Eb, F#, A) | 0 | Diminished subset |
| Circle of fifths | -1 | Fifths stack |
import subprocess
def play_color(r, g, b, duration=0.15):
hue = rgb_to_hue(r, g, b)
trit = hue_to_trit(hue)
pc = int(hue / 30) % 12
freq = 261.63 * (2 ** (pc / 12)) # C4 base
wave = {1: "sine", 0: "triangle", -1: "square"}[trit]
subprocess.run(["play", "-q", "-n", "synth", str(duration),
wave, str(freq), "vol", "0.3"])
(defn play-trit [trit freq]
(let [wave (case trit 1 "sine" 0 "triangle" -1 "square")]
(shell "play" "-q" "-n" "synth" "0.15" wave (str freq) "vol" "0.3")))
using Gay
function sonify_stream(seed, n=12)
Gay.gay_seed!(seed)
for _ in 1:n
c = Gay.next_color()
hue = Gay.Colors.convert(Gay.HSL, c).h
pc = mod(round(Int, hue / 30), 12)
freq = 261.63 * 2^(pc / 12)
trit = hue < 60 || hue >= 300 ? 1 : hue < 180 ? 0 : -1
wave = Dict(1 => "sine", 0 => "triangle", -1 => "square")[trit]
run(`play -q -n synth 0.15 $wave $freq vol 0.3`)
end
end
Every tripartite emission sums to 0 mod 3:
MINUS(-1) + ERGODIC(0) + PLUS(+1) = 0
See catsharp.mo for acausal equation-based model.
sox (via flox: flox install sox)afplay as fallbackgay-mcp: Deterministic color generationrubato-composer: Mazzola's mathematical music theorytopos-of-music: Full categorical music implementationThis skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:
category-theory: 139 citations in bib.duckdbThis skill maps to Cat# = Comod(P) as a bicomodule in the equipment structure:
Trit: 0 (ERGODIC)
Home: Prof
Poly Op: ⊗
Kan Role: Adj
Color: #26D826
The skill participates in triads satisfying:
(-1) + (0) + (+1) ≡ 0 (mod 3)
This ensures compositional coherence in the Cat# equipment structure.
| Mode | Flag | Description |
|---|---|---|
| Metairony | --metairony | The sound of self-reference |
| Just Intonation | --ji | 5-limit tuning ratios |
| Consonant Only | --consonant | Filter to consonant intervals |
| PLR Sequences | --plr PLRPLR | Neo-Riemannian transformations |
| Tool Algebra | --tools exa,babashka,beeper | S-P-O chain sonification |
| Maximal | --maximal | All modes combined |
| Champions | --champions | Top 3 GF(3)-conserved seeds |
python3 sonify.py --metairony
Four phases of self-referential sonification:
INSIDE THE LINES — Perfect GF(3) conservation
finder_search(-1) + oracle_think(0) + create_file(+1) = 0OUTSIDE THE LINES — Deliberate transgression
read(-1) + read(-1) + read(-1) = -3 ≡ 0 (the heresy was orthodoxy)METAIRONIC BRIDGE — The joke that knows it's a joke
sonify(sonify) — the script sonifying itselfSURPRISING BISIMILARITY
iBeacon physical consensus ≅ PLR transformations ≅ Gay.jl trit streamsBrowser-based p5.js visualization of Hydra live-coding synth taxonomy:
open hydra-grok.html
Distance = Information × Agency × Energy
| Category | Trit | Functions | Profile |
|---|---|---|---|
| Source | +1 🔴 | osc, noise, shape... | High information generation |
| Geometry | 0 🟢 | rotate, scale, kaleid... | Transform, conserve |
| Color | 0 🟢 | posterize, hue... | Low agency |
| Blend | -1 🔵 | add, mult, diff... | Consume/combine |
| Modulate | -1 🔵 | modulate*, feedback | Highest info (0.9) |
| External | -1 🔵 | initCam, initScreen | Max info input |
| Synth | +1 🔴 | render, out, hush | Max agency |
Temperature τ controls clustering:
69 distance metrics cycle through information-theoretic, agency-based, energy-based, GF(3), thermodynamic, and categorical measures.
Synthesis from beeper decision analysis:
Tool Algebra Chain: exa → deepwiki → babashka → beeper
Spectral Gap: λ₂ = 0.32 → tempo = 158.4 BPM
PLR Transitions: Neo-Riemannian as pitch transformations
Bisimulation Indistinguishability:
--tools sonification mode| File | Description |
|---|---|
metairony.html | p5.js + Web Audio metaironic visualization |
hydra-grok.html | 69-candidate temperature-clustered flow analysis |
sonify.py | Extended with --metairony, --ji, --consonant, --plr, --tools |
"color outside and inside the lines - the metairony sonify it"
The request to simultaneously transgress AND conserve GF(3) led to:
-3 ≡ 0 (mod 3) reveals: even breaking the rules conserves| Connected Skill | Morphism | GF(3) Role |
|---|---|---|
gay-mcp | seed → color → pitch | Source (+1) |
topos-of-music | PLR ↔ pitch class | Transform (0) |
hydra-synth | 69 functions → clusters | Analysis (-1) |
rubato-composer | Mazzola forms | Theory (0) |
qri-valence | XY defects → dissonance | Mapping (-1) |
bisimulation-game | Entity indistinguishability | Verification (+1) |