A second version.   Converting the logistic map bifurcation diagram to sound.  The logistics map is f(x)=4Ax(1-x) where A is a real parameter between 0 and 1.  In this draft, the value of A is associated with time: as time goes forward, A ranges from 0.7 to 1 (in general for the logistics map it is common to consider A from 0 to 1, but the sound is very simple and changes slowly for A less than 0.7, so I've left that out).  For each A value, many x values are chosen and many iterations of f(x) are applied; the end result is used to calculate a frequency (linearly determined between 100 and 4100 hz) for a sound event at the time corresponding to the A value.

Compared to the first draft, this has a shortened "intro" (since A starts at 0.7 instead of 0.65), the pan position is determined by the frequency, and the range of frequencies is smaller (the high frequency in this version is less than in the first draft).  Also, the more chaotic things are, the louder the sound is.

sound from logistic map (second version)

This podcast is a guide for thinking brilliantly and creatively in mathematics for K-12 educators, their students, and all seeking joyful mathematics doing. Dr. James Tanton is the guest and answers the questions... How do we model and practice uncluttered thinking and joyous doing in the classroom? Pursue deep understanding over rote practice and memorization? Develop the art of successful flailing? Our complex society demands of its next generation not only mastery of quantitative skills, but also the confidence to ask new questions, explore, wonder, flail, persevere, innovate, and succeed.

Think Brilliantly and Creatively in Mathematics

Dr. Matthew Beyranevand is the K-12 Mathematics and Science Coordinator for the Chelmsford Public Schools. Through his website, Matthew provides visitors with podcasts, music videos, educational resources, and a video blog. Matthew is currently in his fifth season producing and hosting his public access television show "Math with Matthew". 

A math person making and modifying sounds with custom code, Csound, homemade electronics.

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