Phyllotaxis for flute and electronics (flute part only)
By Jennifer Bernard Merkowitz
Duration: approx. 8'30
The word phyllotaxis comes from "leaf arrangement" in Greek. It describes the phenomenon that plants seem to grow in patterns that make for the most efficient use of space. As the plant grows, the number of "turns" made before a new leaf or petal appears is called the phyllotactic ration, and common rations include 1/2, 2/5, 3/8-all ratios involving numbers that result from the Fibonacci series (11235813...)When looking at the head of a sunflower, the eye is drawn to the clockwise and counterclockwise spirals, and there are usually 34 going one way and 55 going the other way-also Finonacci numbers! The phenomenon can be recreated by generating successive pints on a spiral that are separated by 137.5 degrees-the "Golden Angle".