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Here's a somewhat heterodox crab canon for three voices, which I've been composing throughout the course of this past evening.

In contrast to a typical crab canon for two voices, the three melodic lines (here coloured as themes in their own right) vertically swap positions with each repetition, of which the last three are the retrograde variants. Thus, instead of there being a single mirror point to divide both halves of the canon, the whole line has to be segmented into smaller themes that cycle across registers through means of invertible counterpoint. Lastly, an ornamented cadence has been included at the end for a proper sense of conclusion.

By all means this is not a strict crab canon, so I all advice on how to make it more rigorous or coherent is more than welcome.

YouTube video link: 

Edited by Fugax Contrapunctus
Slight modifications in one of the repetitions which also motivated a change in key towards C minor.
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