Johann Sebastian Bach · Music
Core Mechanism
Harmonization as constraint satisfaction under maximum rigidity — a fixed melodic line and synchronized rhythmic attack create a system where every vertical sonority must simultaneously satisfy voice-leading efficiency, harmonic function, and phrase-boundary articulation, producing music where local choices are overdetermined by global constraints.
Kernel Engagement
Works within the kernel’s native ground; the structural gap is present but never encountered.
Evidence
The chorale operates through fifth-based harmonic progressions and cadential resolutions as its primary structural language, with the constraint satisfaction system producing inevitable harmonic choices within the fifth's contained field.
Territory
The work uses fifths-based harmonic organization as primary language with keys, functional harmony, and fifth-generated cadential motion throughout. This is the kernel's home ground where most tonal music defaults.
Constitutive depth
The work is constituted by fifth-based relationships but doesn't generate constraints beyond those specified by the chorale harmonization genre. The 'overdetermined' harmonic choices result from the composer's chosen constraint system (cantus firmus + homophony), not from the fifth's operation generating unexpected consequences.
Legibility
The fifth's operation is invisible to listeners because the chorale genre has naturalized fifth-based harmonic progression as convention. Audiences experience smooth voice-leading and satisfying cadences without perceiving the kernel doing structural work.