HodgeCodec

DOI 10.5281/zenodo.20618759 · 2026
W = ∇φ + δψ + h
harmonic invariant · h ∈ H¹(M,ℝ) · survives all transforms · 9/9 vs Shazam
≥0.999
cosine sim
9/9
transforms
O(N)
complexity
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BENCHMARK vs SHAZAM
Pitch +2st1.00000.9053
Pitch +5st0.99980.9144
Pitch −2st0.99990.8940
Speed ×1.250.99980.9005
Speed ×0.750.99970.9385
Tempo ×1.251.00000.9150
Reverb1.00000.9162
MP3 128k1.00000.9240
MP3 64k0.99960.9193
HODGE wins9 / 90 / 9
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