🎼 HSP Stability Metrics

Six RTT‑Native Measures of Harmonic Stability#

The Harmonic Stability Profile (HSP) evaluates stability using
six canonical RTT-native metrics.
Each metric measures a different dimension of harmonic behavior:

• recurrence
• positional consistency
• substrate anchoring
• operator role stability
• temporal coherence
• mutation rate

Together, they form the analytic backbone of the HSP suite.

🔷 1. Harmonic Recurrence#

How often a concept returns to its harmonic baseline#

Definition:
Measures the frequency with which a concept returns to its canonical harmonic form across contexts.

High recurrence: stable, well‑anchored concepts
Low recurrence: oscillating or chaotic concepts

Signals:

• repeated harmonic patterns
• consistent interval signatures
• predictable resonance behavior

🔷 2. Harmonic Position Consistency#

How stable a concept’s interval position is within RTT‑12#

Definition:
Tracks whether a concept remains in the same interval band (I1–I12) or drifts between them.

Stable: fixed interval position
Unstable: interval wobble or collapse

Used to detect:

• D1 structural drift
• D2 dimensional drift
• interval misalignment

🔷 3. Substrate Anchoring#

How firmly a concept is rooted in its substrate(s)#

Definition:
Measures the stability of a concept’s substrate alignment:

• physical
• cognitive
• symbolic
• harmonic
• social
• atlas

Strong anchoring: stable concepts
Weak anchoring: oscillators or chaotic nodes

Used to detect:
substrate migration, projection drift (D4)

🔷 4. Operator Role Stability#

How consistently a concept performs its operator role#

Definition:
Evaluates whether a concept’s operator role remains stable across contexts.

Stable: consistent operator behavior
Unstable: role inversion, multi‑role conflict

Used to detect:

• D1 structural drift
• D3 regime drift
• overloaded concepts

🔷 5. Temporal Stability#

How stable a concept remains across time#

Definition:
Measures whether a concept’s meaning, structure, or harmonic signature changes across revisions or epochs.

High temporal stability: canonical concepts
Low temporal stability: evolving or unstable concepts

Used to detect:

• meaning shifts
• early destabilization
• long‑term drift patterns

🔷 6. Harmonic Mutation Rate#

How quickly a concept’s harmonic structure changes#

Definition:
Tracks the rate at which a concept mutates across:

• interval positions
• operator roles
• substrate alignments
• harmonic signatures

Low mutation rate: stable
High mutation rate: oscillating or chaotic

Used to detect:

• D2 dimensional drift
• D3 regime drift
• D4 projection drift

🔷 7. Metric Interaction Matrix (Overview)#

🔷 8. Usage Notes#

Use this file when:

• evaluating a concept’s stability
• diagnosing drift
• preparing stability reports
• analyzing recursion behavior
• mapping substrate migration
• interpreting echo signatures

This module is referenced by:

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

🔷 Footer#

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