Audio Codec · Early Access 2026

Sound, decomposed.
f  =  ∇φ  +  δψ  +  h

Three orthogonal layers. Exact reconstruction.
The mathematics of Hodge theory applied to audio.

41 dB
SNR vs MP3 25 dB
NEON
Hardware accelerated
Decode time, this device
Live demo

Hear it split apart.

Real decomposition running in WebAssembly — powered by strong bisimulation-driven bitrate allocation and topological noise cancellation.

Hodge Decomposition — Live
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∇φ TONE
δψ ATTACK
h SOUL
0:000:00
ξ — decode — compression — 4.1× H¹ phase lock — active
Δ = dδ+δd  ·  ∇φ tone   δψ attack   h soul  ·  β(T²) = (1,2,1)
The concept

Three layers. One file.

The split is mathematically unique — every sound decomposes into exactly one set of these three layers, and they sum back to the original exactly.

∇φ

TONE

The melodic tendency — where the sound wants to go. Pitch and structure, stripped of hits and noise.

= gradient component  exact 1-form
δψ

ATTACK

The rotational energy. Drum hits, string plucks, percussive transients — isolated cleanly.

= coexact component  co-closed 1-form
h

SOUL

The invariant core that's neither tone nor attack — a topological fingerprint unique to every recording.

= harmonic component  Δh = 0

f = ∇φ + δψ + h  ·  ⟨∇φ, δψ⟩ = 0  ·  Δh = 0  ·  decomposition is unique

Fidelity

Numbers don't lie.

Prophet-6 synthesizer, 48 kHz. Same file-size class as MP3 — 60% higher fidelity. Runs on S23+ (Snapdragon 8 Gen 2) and Apple M1–M3 with ARM NEON SIMD.

MP3 128k
25.5 dB
AAC 128k
29.2 dB
Ogg 128k
31.2 dB
HodgeCodec
41.1 dB
WAV (ref)
∞ lossless
4.1× compression at exact harmonic reconstruction · SI-SDR 28.4 dB · 91 automated tests  ·  preprint ↗
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Beta opens after arXiv publication. Founding Supporters get lifetime API access and attribution in the paper.

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