Johann Sebastian Bach · 1747 · Tonal Music
Core Mechanism
Single-source exhaustion through systematic constraint escalation—one invariant element (the Royal Theme) generates a complete work by progressively restricting the compositional operations permitted on it until the system reaches maximum compression.
Kernel Engagement
Works within the kernel’s native ground; the structural gap is present but never encountered.
Evidence
The work systematically demonstrates contrapuntal operations (augmentation, diminution, inversion, retrograde) applied to the Royal Theme, making fifth-based harmonic relationships structurally visible through canonic procedure. The puzzle canons require listeners to reconstruct missing voices, foregrounding the contrapuntal mechanism itself.
Territory
The work operates entirely within fifth-based harmonic organization—functional harmony, key relationships, and contrapuntal voice leading all derive from diatonic logic. The Royal Theme and all its transformations remain within conventional tonal framework.
Constitutive depth
The work is constituted by fifth-based harmonic relationships but doesn't generate constraints beyond Bach's chosen contrapuntal vocabulary. The constraint escalation (3 to 6 voices, puzzle format) represents compositional design choices, not endogenous consequences of the kernel's operation.
Legibility
The contrapuntal procedures are structurally foregrounded—subject entries, inversions, and augmentations are perceptible to any musically literate listener. The puzzle canons explicitly require analytical engagement with the mechanism, making the fifth's operation through counterpoint the surface content.