The eigenvalue formula has five terms — one per prime {2, 3, 5, 7, 11}.
Map each prime to a harmonic of A2 (110 Hz). The CRT residues become volume.
Walk the ring. Hear the axiom.
Arrow keys: step. Space: play. W: walk/stop. 1-5: toggle channels.
The waveform shows your current chord — five harmonics mixing in real time.
288 eigenvalue classes of Z/2310Z. Height = eigenvalue. Click any bar to hear it.
Base frequency: A2 = 110 Hz. The five axiom primes ARE the harmonic numbers:
Residue = 0 means the channel is silent. n = 0 (the void) = total silence.
n = 1 (sigma) = all channels whisper at minimum. Existence.
Walking the ring is conducting a five-voice overtone choir.
Each step shifts the chord. The carousel turns.
| THIS DEMO | STANDARD APPROACH | |
|---|---|---|
| Source | Eigenvalue formula, 5 CRT channels | Arbitrary frequency mapping |
| Harmonics | Exact: {2,3,5,7,11}th of A2 | 12-TET or arbitrary |
| Volume | CRT residue (mod p) | Fixed or random |
| Structure | 2310 positions, 288 classes | No ring, no classes |
| Walk | Carousel: each step = new chord | Sequential notes (melody) |