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Hi The crab canon (cancrizans in Latin, cangrejo in Spanish) is know (wiipedia) as well as "retrograde canon, canon per recte et retro or canon per rectus et inversus)... is an arrangement of two musical lines that are complementary and backward. If the two lines were placed next to each other (as opposed to stacked), the lines would form something conceptually similar to a pallindrome. The name 'crab' refers to the fact that crabs are known to walk backward (although they can also walk forward and sideways). The most famous crab canon is the one Bach wrote for the Musical Offering. There are no many canon of this type, because it is more an exercise. It has its difficulty. The crab canon harmonizes one melodic line with itself in retrograde. So, you have to write a double (invertible) counterpoint, taking care of the fifth interval, because once inverted it becomes a dissonant fourth. So, fifths should be treated as dissonances. I have written, with time, some crab canon, just for fun and as a counterpoint exercise. But I had a concern with the possibility of writing a double crab canon. That is to say: two crab canon which can sound together. I have not seen any methods to to this. But I developed my own. I wrote a simple cancrizans 6 + 6 measures. Afterwards I wrote. second one in a lower register, having in mind the first. Third, I put both canon together. Fourth, I wrote the result with all the lines in retrograde. I think more combinations are possible, but taking care of the intervals. At least, it was fun. I'll keep this piece... Perhaps I use it in a larger format as a part of an orchestral work.
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