Random Link ¯\_(ツ)_/¯ | ||
Jan 20, 2023 | » | Gödel, Escher, Bach: An Eternal Golden Braid
10 min; updated Feb 12, 2023
Strange Loops A Strange Loop occurs whenever, by moving upwards (or downwards) through the levels of some hierarchical system, we unexpectedly find ourselves right back where we started. The 3-voice Canon Per Tonos from Musikalisches Opfer BWV 1079 exhibits a strange loop. Successive modulations make one expect to hopelessly far from the starting key, but after six modulations, the original key of C minor is restored! I can’t quite perceive the rising canon.... |