Oscillator Garden Twelve canonical oscillators across twelve domains — biology, physics, and engineering — all live in the same Pfaffian cost classp2-d5-w2-c1. Click any one to play it. Then click Play in unison to hear all twelve at once: twelve voices in the same harmonic family because the substrate sees them as the same canonical-form computation.
After scaling the corpus to 403 expressions across 52 domains and the neutral-symbol null to 5000 random expressions, the headline numbers tighten: 29 of 403 bio expressions hit this class across 18 distinct domains; 135 of 5000 random expressions do (2.7× enrichment, q < 0.0001 after BH-FDR correction across 31 candidate classes) . Real, statistically significant, modest. The earlier "essentially binary 0/50 null" framing was a small-N artifact and has been corrected.
Play all 12 in unison Play in sequence
Shared cost class
axes: p2-d5-w2-c1r: 2depth: 5voices: 2waveform: sawtoothroot note: G3 (196.00 Hz)
Frequencies are detuned across the cards (188-220 Hz) so you can tell them apart. The mapping (waveform, voicing, sound shape) comes entirely from the cost class, not from the domain.
Mirror-touch synesthesia human-syn intensity · cos(omega · t) · exp(−k_decay · d)Tactile co-activation by visual touch. The cosine carrier sits in p2-d5-w2-c1; the exp envelope pushes the full expression to p2-d6 in the table, but the oscillator core lands in the class.
188 Hz ▶ play
Iridophore Bragg-like reflectance octopus cos(2π · d / λ)Skin-color cells reflect via wavelength-dependent cosine interference. Same class as the EEG α band.
192 Hz ▶ play
Circadian cosine entrainment plant cos(2π · t / 24) · intensity24-hour sun cycle as a cosine envelope on light response. The canonical biological oscillator.
196 Hz ▶ play
ATP-driven limit cycle slime-mold amp · cos(omega · t)Physarum's contractile pulse. No nervous system; pure biochemistry. Same class.
200 Hz ▶ play
Discharge piecewise cosine impulse cnidarian amp · cos(discharge_t · omega)Stinging-cell trigger as a brief cosine burst. Found in v3 substrate run; missed in original v5/v6 narrative until 2026-04-26 audit.
204 Hz ▶ play
pre-Bötzinger rhythm cosine respiratory amp · cos(omega_resp · t)Brainstem respiratory pacemaker. Tested in v5; lands cleanly in p2-d5-w2-c1.
208 Hz ▶ play
A_band · cos(2π · f_band · t)Three EEG bands, all the same cost class. The brain runs three frequencies inside the same oscillator structure.
212 Hz ▶ play
Spring SHO position physics-osc x_0 · cos(omega · t)Classical simple harmonic motion. Identical cost class to the brain wave above.
216 Hz ▶ play
Crystal resonator output engineering-osc A_xtal · sin(omega_xtal · t)Quartz crystal in your wristwatch. Same cost class as cardiac, EEG, slime-mold, plant.
220 Hz ▶ play
Slime mold Ca²⁺ wave slime-mold-v7 A_ca · cos(ω_ca · t)Physarum's calcium oscillation drives peristaltic transport during foraging and maze-solving. Same class as the EEG α band and the spring on your screen door.
224 Hz ▶ play
Mycorrhizal fungal AP mycorrhizal A_fung · cos(ω_fung · t)Underground fungal network's electrical signaling. Same cost class as the brain wave, even though the substrate is mycelium not neurons.
228 Hz ▶ play
Bacterial Hopf bifurcation bacterial-qs μ_hopf · cos(ω_hopf · t)The seed of biofilm collective oscillation when quorum is reached. p2-d5-w2-c1 again — the universal-class hits even in microbial decision dynamics.
232 Hz ▶ play
Why this is one note in nine costumes The Pfaffian cost class p2-d5-w2-c1 identifies the structural shape Mul(scalar, Trig(LinearMul)) — the canonical engineering oscillator form. Whether the trig is a calcium wave, an EEG band, a quartz watch crystal, or the spring on your screen door, the substrate sees the same thing.
That is not a coincidence and it is not biology being mysterious. It is biology converging on the cheapest mathematical structure for stable periodic behavior. Same answer reached by physics and engineering for the same reason.
Random expressions over the same operators (sin, cos, exp, ×, ÷, +, −, sqrt) hit this class about 2.7% of the time. The biological / physical / engineering corpus hits it about 7.2% of the time. That's a 2.7× enrichment, statistically significant after BH-FDR correction across 31 tested classes (q < 0.0001). The substrate is not labeling the world; the world is preferring this canonical-form structure 2.7× more often than chance.