======================================================================
DARK COUNTERPART ANALYSIS: DISPROVING TSE SIMILARITY CLAIMS
======================================================================

Generated: 2025-11-30 11:27:05

CASE 1: TSE CLAIMS HIGH SIMILARITY BUT ALTERNATIVE METRICS DISAGREE
----------------------------------------------------------------------
Found 0 cases where TSE claims ≥80% similarity
but alternative metrics show significantly lower similarity.

CASE 2: MUSICALLY SIGNIFICANT DIFFERENCES HIDDEN BY TSE
----------------------------------------------------------------------
Found 0 cases where TSE claims high similarity
but maximum fifth deviation exceeds 5 cents (musically significant).

CASE 3: WEIGHTING SYSTEM SENSITIVITY
----------------------------------------------------------------------
Tested 10 pairs with different weighting schemes.

1. 1/3 Syntonic ↔ 1/4 Syntonic
   TSE Standard (50/25/25): 78.6%
   Equal Weight: 44.9% (diff: -33.7%)
   Fifths Dominant: 46.1% (diff: -32.4%)
   Musical Focus: 41.3% (diff: -37.2%)

2. 1/3 Syntonic ↔ 1/5 Ditonic
   TSE Standard (50/25/25): 61.6%
   Equal Weight: 25.2% (diff: -36.4%)
   Fifths Dominant: 25.9% (diff: -35.7%)
   Musical Focus: 20.4% (diff: -41.2%)

3. 1/3 Syntonic ↔ 1/5 Syntonic - Holden
   TSE Standard (50/25/25): 58.8%
   Equal Weight: 20.7% (diff: -38.1%)
   Fifths Dominant: 17.7% (diff: -41.1%)
   Musical Focus: 15.5% (diff: -43.3%)

4. 1/3 Syntonic ↔ 1/5 Syntonic - Holder
   TSE Standard (50/25/25): 62.0%
   Equal Weight: 25.8% (diff: -36.2%)
   Fifths Dominant: 27.0% (diff: -35.0%)
   Musical Focus: 21.1% (diff: -40.9%)

5. 1/3 Syntonic ↔ 1/6 Syntonic
   TSE Standard (50/25/25): 53.7%
   Equal Weight: 14.3% (diff: -39.4%)
   Fifths Dominant: 6.4% (diff: -47.3%)
   Musical Focus: 8.6% (diff: -45.1%)

======================================================================
SUMMARY
======================================================================

The TSE's similarity scores are sensitive to:
1. The choice of distance metric (Euclidean vs. Manhattan vs. Chebyshev)
2. The weighting scheme (50/25/25 vs. alternatives)
3. The focus on average similarity vs. maximum deviation

Alternative metrics reveal cases where TSE claims high similarity
but the temperaments have musically significant differences.

CONCLUSION: TSE similarity scores should be interpreted with caution.
Alternative metrics provide additional perspective on temperament relationships.