Quasicrystal

Music with no repeat and no seam — structured by Penrose aperiodic order.

A de Bruijn pentagrid generates a Penrose P3 rhomb tiling — perfectly ordered, 5-fold symmetric, yet provably never repeating. A traversal visits each tile; fat and thin rhombs, their vertex configurations, and distance from center map to just-intonation pitches. The resulting sequence is non-repeating yet self-similar: motifs recur transposed and re-spaced, but the exact sequence never returns.