Ordinary spectra can mimic a Schumann anchored golden ratio enrichment pattern

A preferred anchor in a transformed frequency distribution need not identify the process that generated its peaks. We examine a golden-ratio enrichment detector motivated by a published EEG study using analytic calculations and synthetic spectra. Independent frequencies drawn within the stated search windows reproduce small errors in mean frequency ratios without event-level coordination. In a separate spectrum experiment, ordinary alpha and beta peaks with no planted golden-ratio lattice select anchors of 7.6153 and 7.6920 Hz in two noise regimes. The full predicted rank ordering occurs in the ordinary-rhythm world in one regime and in an aperiodic-only world in another. A complete retrospective replay covers 4,600 synthetic sessions and 36,800 attempted channel spectra; independent scoring reproduces enrichment, anchor choices and alpha-frequency slopes. The slope of the selected anchor against population alpha frequency is approximately 0.653 for ordinary rhythms, 0.650 with device nuisance and -0.00356 for a planted fixed-anchor lattice. These are finite-model counterexamples to detector specificity. They are not a reanalysis of participant EEG, a test of natural Schumann coupling or validation of a replacement human-data test. Failed fits, an initial implementation failure and an unresolved protocol chronology are disclosed. Ordinary spectra reproduce a Schumann-range anchor and a high enrichment ordering in the registered detector. The audit therefore demonstrates detector non-identifiability within these synthetic worlds. It does not refute the full target human or companion-cohort studies. This is an author preprint and has not been peer reviewed. The supplement preserves nulls, adverse checks and the stated scope.