💾 Archived View for thrig.me › blog › 2023 › 02 › 15 › christoffel-words.gmi captured on 2023-03-20 at 18:10:52. Gemini links have been rewritten to link to archived content
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Christoffel words probably have utility for field-of-view in roguelikes among other, less important purposes. Here they are abused to produce rhythmic variations. The implementation comes by way of the book "Creating Rhythms" (Hollos, 2014) and associated code.
https://abrazol.com/books/rhythm1/software.html
The idea is to sweep a circle through some number of degrees, and for a point at some radius generate Christoffel words of some length, minus duplicates.
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Yes, but where is the music?
For angle 29.5 through pi/4 in degrees with various other settings--sweep angle, radius, etc.--one result is the following 14 patterns,
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1001001010010010
1001001010010100
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1001010010100101
1001010010101001
1001010100101010
1001010101010100
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1001010101010010
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which can of course be turned into MIDI,
or worse.
https://metacpan.org/pod/Music::CreatingRhythms