On 'Crystal Growth' in harmonic space (1993 - 1998)

摘要

The author proposes a method of gradually constructing pitch 'crystals' in harmonic space through a simple algorithm where each new pitch is as close as possible to all the pitches already present. Interestingly, the algorithmic growth of these crystals seems to mirror the historical development of pitch resources, including the shift from Pythagorean to just intonation in the sixteenth century. As the crystals continue to grow, they imply the emergence of pitch structures in 'extended just intonation'. [Editor]