The Scratch Engine: A Dihedral Permutation Sequencer for Structural Control in Musical Systems
Simon Kilshaw 2025
12 Dihedral symmetric permutations
Group Theory D₆ orders
Rotations
r⁰
r¹
r²
r³
r⁴
r⁵
Reflections
s
sr
sr²
sr³
sr⁴
sr⁵
Current Permutation Matrix
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