Every voice emerges from dual Z₂ syrinx oscillation.
Two flocks, two trees — up to 1500 starlings with independent CRR dynamics.
The flock's k=7 topological harmony creates scale-free coherence at the critical edge.
Governed by Coherence, Rupture & Regeneration.
syrinx: dual Z₂ → ΩL=ΩR=1/π · f₀=300–10,000 Hz · superfast muscles ≤250 Hz
flock: k=7 topological · scale-free correlation · C·Ω=1 at criticality
beauty: B(C/Ω) peaks at 2.14 — murmurations ARE the beauty function made visible
Ballerini et al. 2008 · Cavagna et al. 2010 · Attanasi et al. 2014
CRR Framework — Alexander Sabine · temporalgrammar.ai
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