Johann Sebastian Bach · 1722 · Tonal Music
Core Mechanism
Systematic constraint exhaustion as structural proof — the work demonstrates that equal temperament tuning is viable across all tonal contexts by forcing every major and minor key to support both harmonic (prelude) and contrapuntal (fugue) elaboration.
Kernel Engagement
Works within the kernel’s native ground; the structural gap is present but never encountered.
Evidence
The work systematically forces all 24 keys to support both harmonic and contrapuntal elaboration, proving equal temperament's viability across the entire domain through exhaustive demonstration.
Territory
Each prelude and fugue operates within standard fifth-based harmonic organization. The work inhabits the kernel's home ground — the temperament argument requires demonstrating that diatonic relationships work in all keys.
Constitutive depth
The fifth remains constitutive infrastructure — each prelude and fugue is built on fifth-based harmonic relationships and cadential resolutions. The systematic constraint (24-key exhaustion) was Bach's compositional choice, not generated by the kernel's operation.
Legibility
The temperament demonstration is invisible to most listeners who experience 48 individual compositions. The kernel's operation (fifth-based harmony in each piece) appears natural and unproblematic — the success of equal temperament is proven by its inaudibility.