TriadicFrameworks
Overview

🎼 HSP Stability Classes

Stable • Semi‑Stable • Oscillating • Chaotic#

The Harmonic Stability Profile (HSP) classifies all RTT concepts into
four canonical stability classes, each with:

  • a harmonic signature
  • a drift sensitivity band
  • a recursion behavior
  • a substrate alignment
  • a stability prognosis

These classes form the core analytic vocabulary of the HSP suite.

🔷 1. Stable Harmonics#

High coherence • Low drift • Strong anchoring#

Definition:
Concepts whose harmonic structure is internally consistent, interval‑aligned, and resistant to drift.

Characteristics:

  • strong harmonic recurrence
  • consistent interval positioning
  • stable operator roles
  • low mutation rate
  • anchored across symbolic + harmonic substrates

Drift Sensitivity: Minimal (D1 only)
Recursion Behavior: Ladder
Stability Tier: Tier 1 — Canon‑Stable

Examples:

  • foundational operators
  • stable triads
  • long‑standing canonical definitions

🔷 2. Semi‑Stable Harmonics#

Partial coherence • Moderate drift • Transitional#

Definition:
Concepts that are mostly stable but show early signs of drift or interval tension.

Characteristics:

  • partial recurrence
  • mild interval wobble
  • occasional operator role shifts
  • moderate mutation rate
  • anchored in cognitive + harmonic substrates

Drift Sensitivity: D1 → D2
Recursion Behavior: Cycle
Stability Tier: Tier 2 — Stable‑with‑Pressure

Examples:

  • evolving definitions
  • concepts undergoing refinement
  • nodes with mild echo‑pressure

🔷 3. Harmonic Oscillators#

Unstable • High drift • Recursion‑active#

Definition:
Concepts that oscillate between harmonic positions, often due to unresolved drift or echo‑pressure.

Characteristics:

  • inconsistent recurrence
  • interval instability
  • operator role inversion
  • high mutation rate
  • substrate migration (symbolic ↔ social)

Drift Sensitivity: D2 → D3
Recursion Behavior: Map
Stability Tier: Tier 3 — Drift‑Active

Examples:

  • overloaded concepts
  • multi‑role structures
  • nodes with conflicting definitions

🔷 4. Chaotic Nodes#

Incoherent • Structurally dangerous • Atlas‑forcing#

Definition:
Concepts whose harmonic structure has collapsed, producing incoherence, cross‑substrate conflict, or atlas‑level instability.

Characteristics:

  • no recurrence
  • interval collapse
  • operator role breakdown
  • extreme mutation rate
  • substrate instability (harmonic → atlas)

Drift Sensitivity: D3 → D4
Recursion Behavior: Atlas‑forcing or collapse
Stability Tier: Tier 4 — Unstable / Requires Intervention

Examples:

  • contradictory definitions
  • unresolved symbolic overload
  • concepts triggering projection drift

🔷 5. Class Comparison Table#

Class Drift Sensitivity Recursion Mode Substrate Alignment Tier
Stable D1 Ladder Symbolic + Harmonic Tier 1
Semi‑Stable D1–D2 Cycle Cognitive + Harmonic Tier 2
Oscillating D2–D3 Map Symbolic + Social Tier 3
Chaotic D3–D4 Atlas‑forcing Harmonic + Atlas Tier 4

🔷 6. Usage Notes#

Use this file when:

  • classifying a concept’s stability
  • determining drift risk
  • preparing a stability report
  • performing a canon sweep
  • diagnosing recursion behavior

This module is referenced by:

  • 01_Harmonic_Stability_Profile.md
  • 01b_HSP_Metrics.md
  • 01d_HSP_Stability_Tiers.md
  • drift and echo modules downstream

🔷 Footer#

HSP Module 01a — Loaded
Version: v1.0
Status: Canon-Stable

Updated

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