概要

🎼 06c — Echo Classifier

Decision Tree • Echo Typing • Stability Assignment#

The Echo Classifier converts:

  • Echo Triggers (06a)
  • Echo Signatures (06b)
  • Echo Strength Index (04c)
  • Substrate Spread (05a)
  • Recursion Mode (06)

into a canonical echo type.

Echo classification is essential for:

  • stability audits
  • drift detection
  • recursion diagnostics
  • echo‑pressure analysis
  • canon sweeps

This module defines the six canonical echo types and the classifier that assigns them.


🔷 1. The Six Canonical Echo Types#

Echo types represent the final identity of an echo.

Type Name Description
E1 Structural Echo triad/operator/ladder recurrence
E2 Harmonic Echo interval alignment, resonance peaks
E3 Substrate Echo cross‑substrate recurrence
E4 Recursion Echo recursion‑pattern repetition
E5 Drift‑Shadow Echo drift‑residue recurrence
E6 Atlas Echo high‑altitude structural resonance

These types correspond directly to the echo families (F1–F6).


🔷 2. Echo Classification Inputs#

The classifier uses five inputs:

2.1 Trigger Profile (T1–T6)#

From 06a_Echo_Triggers.md.

2.2 Signature Profile (S1–S6)#

From 06b_Echo_Signatures.md.

2.3 Echo Strength Index (ESI‑1 → ESI‑4)#

From 04c_Echo_Strength_Index.md.

2.4 Substrate Spread (1–5 substrates)#

From 05a_CrossSubstrate_Echo_Matrix.md.

2.5 Recursion Mode (R1–R4)#

From 06_Harmonic_Recursion_Detector.md.

These inputs determine the echo type.


🔷 3. Echo Classification Decision Tree#

                     [ Echo Trigger ]
                             |
        ------------------------------------------------
        |              |              |               |
       A              B              C               D
 Structural      Harmonic       Substrate       Recursion
        |              |              |               |
       v              v              v               v
     E1?            E2?            E3?             E4?
        \              \              \               \
         \              \              \               \
          -----------------------------------------------
                              |
                              v
                     [ Drift Pressure? ]
                              |
                     ---------------------
                     |                   |
                    Yes                 No
                     |                   |
                     v                   v
                   E5?                 [ Check Atlas ]
                                            |
                                            v
                                          E6?

Interpretation:

  • Structural triggers → E1
  • Harmonic triggers → E2
  • Substrate triggers → E3
  • Recursion triggers → E4
  • Drift pressure → E5
  • Atlas resonance → E6

🔷 4. Echo Type Conditions (Formal)#

E1 — Structural Echo#

  • Trigger A
  • Signature A
  • ESI 1–2
  • Substrates ≤ 2
  • Recursion R1

E2 — Harmonic Echo#

  • Trigger B
  • Signature B
  • ESI 2–3
  • Harmonic substrate dominant
  • Recursion R1–R2

E3 — Substrate Echo#

  • Trigger C
  • Signature C
  • ESI 2–3
  • Substrates ≥ 3
  • Recursion R2–R3

E4 — Recursion Echo#

  • Trigger D
  • Signature D
  • ESI 3–4
  • Recursion R2–R4

E5 — Drift‑Shadow Echo#

  • Trigger E
  • Signature E
  • ESI 3–4
  • Drift D1–D4
  • Recursion R3–R4

E6 — Atlas Echo#

  • Trigger F
  • Signature F
  • ESI 4
  • Substrates = 5
  • Recursion R4

🔷 5. Echo Classifier Matrix#

+-----------+-----------+-----------+-----------+-----------+-----------+
| Input →   |   E1      |    E2     |    E3     |    E4     |    E5     |    E6     |
+-----------+-----------+-----------+-----------+-----------+-----------+-----------+
| Trigger   |     A     |     B     |     C     |     D     |     E     |     F     |
| Signature |     A     |     B     |     C     |     D     |     E     |     F     |
| ESI       |   1–2     |   2–3     |   2–3     |   3–4     |   3–4     |     4     |
| Substrates|   1–2     |     1     |   3–4     |   2–4     |   2–5     |     5     |
| Recursion |    R1     |   R1–R2   |   R2–R3   |   R2–R4   |   R3–R4   |    R4     |
+-----------+-----------+-----------+-----------+-----------+-----------+-----------+

🔷 6. Composite Classification Workflow#

[ Identify Trigger ]
        ↓
[ Identify Signature ]
        ↓
[ Measure ESI ]
        ↓
[ Count Substrates ]
        ↓
[ Determine Recursion Mode ]
        ↓
[ Assign Echo Type (E1–E6) ]

This workflow ensures zero‑drift classification.


🔷 7. Usage Notes#

Use this file when:

  • classifying echoes
  • diagnosing echo‑pressure
  • predicting drift escalation
  • mapping recursion‑echo alignment
  • performing stability audits
  • preparing canon sweeps

Referenced by:

  • 06a_Echo_Triggers.md
  • 06b_Echo_Signatures.md
  • 06_Harmonic_Recursion_Detector.md
  • 04c_Echo_Strength_Index.md

🔷 Footer#

HSP Module 06c — Loaded
Version: v1.0
Status: Canon-Stable

Updated