🎼 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#

🔷 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