[i]So use three loops of different lengths. Say with repeat times of 13, 15 and 17 seconds (works best if the lengths are relatively prime.) Make the three loops similar - same timbre, tempo, style of playing, effects, pitch range - so that they cannot be separated by the listener and they will provide a non-repeating sound source for 55 and a quarter minutes.[/i]
Actually, I do that sort of thing all too frequently, without electronics; I blame the influence of medieval isorhythm, Messiaen, and the minimalists.
In a related vein, what possessed me to buy the Headrush and GigaDelay when I already had the Boomerang was the idea of creating a hall-of-mirrors piece in which four delays of different lengths are all chained together. No, I never got around to trying it, because I found the interfaces of the Headrush and GigaDelay so irritating.
Maybe someday I'll write a grant proposal to acquire some more Boomerangs...