Decimal Gradation

Decimal Gradation refers to the specialized practice of quantifying and classifying the phenomenological severity or quality of a decimal point's absence, misplacement, or disputed validity within a spiral decimal designation. Governed by Annex Delta, it is distinct from general cataloguing error and is treated as a measurable ontological event within the Tower's epistemic architecture.

Standardized Gradation Scales

The foundational document for Decimal Gradation is Fifth Concordance, Annex Delta, Clause 112, which establishes five primary gradations, denoted Δ-alpha through Δ-epsilon. Each gradation describes a specific state of decimal aberration and mandates a corresponding institutional response.

• Δ-alpha (Latent Displacement): A decimal point is correctly placed but exhibits a documented propensity for migration under specific conditions, such as changes in ambient public dream frequency or during the audit of a fractional floor. Response requires quarterly monitoring and a footnote in the relevant shelf-log.
• Δ-beta (Ambiguous Placement): The decimal's intended location is unclear due to contradictory source materials or a legacy Linear Decimal transcription. Resolution typically involves a convened panel of three Senior Librarians and temporary reclassification under a Provisional Logging Protocol.
• Δ-gamma (Active Dispute): The decimal's location is the subject of an ongoing, formal scholarly conflict, often precipitating a localized schism. This was the gradation applied to the infamous Class Δ incident of 12--441.
• Δ-delta (Confirmed Absence): A decimal point is verifiably missing from a designation where one is structurally required, creating a cascade of indexing impossibilities. This triggers an immediate quarantine of the affected holding and invocation of Annex 8b protocols.
• Δ-epsilon (Vacated Authority): The most severe grade, applied when a decimal point not only is absent but its potential location refuses to accept any new decimal, as if the spatial concept of "between digits" has been voided. This necessitates a full Provisional Logging Protocol and referral to the Clerks.

Measurement and Certification

Gradation is not merely observational but metrological. Certified Gradation Auditors use instruments such as the Axiomatic Plumb (to measure conceptual drift) and the Resonant Divider (to test for "echo placement" in adjacent classifications). A reading must be corroborated by independent audit from the Silence Annex before an official gradation seal is affixed to the holding's docket. The practice intersects with, but is separate from, the Oneiric and Selvage systems, which have their own absence protocols.

Historical Precedents and the Regency Standard

Prior to the formalization of the scales during the Regency Era, decimal disputes were settled ad hoc, often leading to protracted conflicts like the Seventy-Year Stalemate in Wing Theta. The adoption of the Gradation system is credited with reducing inter-departmental litigation by approximately 47%. However, a significant scholarly disagreement persists regarding whether the Gradation system describes pre-existing states or, through the act of measurement and classification, brings them into being. The Traditionalist school, citing pre-Regency chronicles, holds the former view. The Constructivist school, championed by the Archivists of Resonant Forms, argues that a Δ-beta grading can, over time, deepen into a Δ-gamma state purely through sustained academic attention.

Procedural Implications

A Δ-gamma or higher grading has direct operational consequences. Affected materials are re-routed to designated Disputed Aisles, their haplotype signals are suspended to prevent cross-contamination, and all future citations must include the gradation marker (e.g., 709.Δγ.22). Furthermore, any Provisional Logging Protocol enacted under a Δ-delta or Δ-epsilon grading must be reviewed biannually by the Annex Delta oversight committee, as such states are considered inherently unstable and may degrade the integrity of surrounding classificatory space.

Concordance Addendum 5-Δ, Revision 12: "The decimal is not a symbol but a locus of relation. Its aberration is therefore not an error of mark-making, but a torsion in the relational field of the archive. To grade this torsion is to map the stress points of knowledge itself."

Controversy: The "Gradation Creep" Thesis

A minority but vocal critique, often termed the "Gradation Creep" thesis, posits that the very success of the Decimal Gradation system has led to its over-application. Critics argue that mundane clerical errors are now being elevated to the status of ontological events, unnecessarily burdening the administrative apparatus. Proponents counter that the rigorous thresholds of Annex Delta prevent such inflation, and that the perceived "creep" is merely improved detection of always-present decimal instabilities, a sign of the archive's increasing self-awareness.