Johann Sebastian Bach · Music
Core Mechanism
A fixed melodic constraint (cantus firmus) generates harmonic solutions under competing voice-leading imperatives—stepwise motion economy versus four-part simultaneity—producing systematic registral imprisonment where smooth connection requires accepting harmonic limitation.
Kernel Engagement
Works within the kernel’s native ground; the structural gap is present but never encountered.
Evidence
The cantus firmus generates harmonic solutions within fifth-based functional progressions, with voice-leading constraints operating entirely within the diatonic field's conventional cadential patterns.
Territory
The work operates entirely within fifth-generated functional harmony—major/minor keys, V-I cadential resolution, and diatonic voice-leading conventions. This is the kernel's home territory.
Constitutive depth
The work operates within pre-established chorale harmonization conventions where fifth-based progressions are the given infrastructure. The registral imprisonment described emerges from voice-leading technique, not from the fifth generating novel constraints beyond its normal operation.
Legibility
The fifth operates as invisible harmonic infrastructure—audiences hear functional progressions and cadences without perceiving the underlying fifth relationships as mechanism. The voice-leading constraints conceal rather than expose the kernel's operation.