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Canon analysis traces imitation rules (time lag, transposition level, free elements) and their harmonic consequences. Canons range from strict (all voices identical under transformation) to free (limited imitation with harmonic variation). Understanding canonic logic reveals long-range coherence and unity.
Analyze a Bach canon or Hindemith fugue, mapping imitation intervals and time lags on score. Compose a short canon with specified rules, then analyze how imitation constraints create harmonic progression.
From your study of advanced canon techniques, you know that canons involve one voice (the dux) presenting a melody that a second voice (the comes) imitates after a fixed time delay, often at a transposition. Structural analysis of canonic imitation goes beyond identifying these parameters — it traces how the imitation rules generate the piece's harmonic content, formal architecture, and points of tension and release. The analytical task is to map the imitation rule (time lag, transposition level, strict versus free treatment) and then explain the harmonic and formal consequences that flow from it.
The central insight is that melody, counterpoint, and harmony are not independent variables in a canon — they are locked together by the imitation rule. When the comes enters at a fifth above and two beats later, every vertical interval between the voices is determined by the melodic line's relationship to its own transposed, time-shifted echo. The composer cannot adjust the harmony without adjusting the melody, because the harmony *is* the melody interacting with itself. This constraint is what makes canonic writing so demanding: the single melodic line must simultaneously function as both an independent melody and its own counterpoint, producing consonant intervals at every point of overlap. A melody that sounds beautiful in isolation may generate unacceptable dissonances when combined with its delayed imitation.
Most canons are not perfectly strict throughout. Free passages — moments where the comes departs from exact imitation — serve critical structural functions: they allow the composer to navigate cadences, manage tonal closure, and avoid dissonances that strict imitation would force. Analyzing where a canon is strict and where it becomes free reveals the composer's priorities. Bach's canons in *The Musical Offering* and *The Art of Fugue* show remarkable ingenuity in maintaining long stretches of strict imitation while achieving satisfying harmonic progressions, but even Bach introduces freedoms at cadential points where strict imitation cannot deliver the required tonal resolution.
The analytical payoff is understanding how canonic logic creates large-scale coherence. Because the same melodic material permeates every voice, a canon achieves a kind of organic unity that other textures cannot — the piece is, in a real sense, one idea heard from multiple temporal perspectives. Changing the time lag changes which moments of the melody coincide vertically, producing a fundamentally different harmonic texture from the same melodic material. Changing the transposition level similarly reshapes the harmonic landscape. The analyst who traces these rules first — before examining harmonic content — will find that the harmony explains itself as a necessary consequence of the imitation, rather than appearing as an arbitrary sequence of chords.
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