Stellar Resonance for Cello and Piano 5 graphical scores by the Mandelbrot’s mapping
This music is composed for cello and piano based on a beautiful mathematical function Mandelbrot’s mapping. I developed the original computer program to calculate the nonlinear mapping of the Mandelbrot set to determine the timing, pitch, and duration of the notes. The variation of score depends on the initial value of calculation. As shown by the colored (e.g., red and yellow) lines in the following figure, the output values are calculated recursively and depend on the initial parameters. I mapped these successive values on the score as a graphic score. However, I did not simply put the calculated notes on the score directly. I ran the program many times while changing the parameters of the Mandelbrot set to calculate lots of sets of notes, and selected only agreeable and beautiful notes to this piece carefully. The titles of each movements mean the initial values of Mandelbrot’s mapping used to calculation the consecutive notes.
YouTube : https://youtu.be/z7MMGuhDmzU?si=_4pLT-FJrtxTs2O0
Piano : Yukina Uehara, Cello : Masao Yokoyama
Score/Parts : https://www.cello-maker.com/research/...