The Cross-Domain Ratio Lattice of Ratio Theory Cosmic Calibration (SNHS), Object-Level Harmonic Profiles (HP), and the CAT-12 Operating Manual with the Law of Dynamic Precision and the Periodic Table of Resonance

This paper consolidates and standardizes the CAT-12 framework across our recent corpus. We introduce a clear split between Scale-Normalized Harmonic Spectra (SNHS) for calibration and Harmonic Profiles (HP) for object-level analysis; define reson (rn) as the scale-normalized coordinate and rex (Rx) as the reporting unit for amplitudes/widths; and replace fixed tolerances with Law-of-Dynamic-Precision (LDP) Tu posteriors (corridor widths as ranges, not points). We also retire the informal “URSL” label in favor of standard GR mass–frequency scaling used strictly as a plotting prior. A versioned Periodic Table of Resonance (PTR v1.2) anchors pre-declared ratio families (e.g., inner-ring ILR/OLR sets; 3:2 epicyclic pairs; Lense–Thirring precession bands) with expected rn centers, width posteriors (Tu), sharpness (Q), and family distance (Ch), each tied to a named physical channel. Governance includes a negative/near-band ledger, evidence tiers, and a registered protocol (family pre-declaration, multiplicity/Bayes thresholds, hold-out predictions). We illustrate the approach with two case studies: NGC 2775 (HST) — a three-zone “resonance ladder” where a narrow inner ring acts as a resonance tolerance band (active corridor) between a smooth, quiescent inner disc and flocculent outer arms; a gentle tidal environment (NGC 2777 + H I bridge) provides a plausible slow driver that organizes material into the corridor without igniting a nuclear starburst. XTE J1550–564 — a black-hole timing exemplar where the 184/276 Hz HFQPO pair maps cleanly to the 3:2 epicyclic family under the HP/PTR/Tu reporting, with falsifiable companion and hold-out predictions. What’s new (at a glance): SNHS (calibration) vs. HP (object-level) profiles in ratio space. Reporting fields standardized: rn, Rx, Tu (posterior), Q, Ch. PTR v1.2 with family priors, mechanisms, and evidence tiers. Negative ledger for out-/near-band outcomes; discovery lane for coherent novel-bands. Registered protocol & hold-out prediction reporting. “URSL” removed → standard GR f∝M−1f \propto M^{-1}f∝M−1 used only as a prior. Clear causality guardrail: no coupling claims without a named channel and a local driver test (source power × coupling ≥ damping at the mode). Reanalysis note: We register a light reanalysis pass of recent CAT-12 figures to adopt the SNHS/HP + Tu terminology. Underlying measurements remain unchanged; presentation, widths, and decision rules are stricter and easier to reproduce. Reproducibility: The paper ships with minimal notebooks to build HP/SNHS, extract peaks, compute rn/Tu/Q/Ch, and emit an Outcome Ledger table. PTR entries used here are tagged v1.2. Non-specialist summary: We provide a consistent way to compare “simple ratio patterns” across very different systems (galaxies, black holes, human-scale rhythms)—not by raw Hertz or kilometers, but after normalization to each system’s natural scale—then tie those patterns to specific physical mechanisms with explicit uncertainty ranges. Suggested keywords CAT-12; Ratio Theory; Periodic Table of Resonance; Law of Dynamic Precision; resonance corridor; tolerance band; Harmonic Profile; Scale-Normalized Harmonic Spectrum; rn; Rx; Tu; Q; Ch; inner Lindblad resonance; morphological quenching; HFQPO; Lense–Thirring precession; epicyclic resonance; NGC 2775; XTE J1550–564; CMB; BAO; calibration lattice; falsifiable predictions.