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Base 2 Math:
.
22=423=8
24=16
Each
higher power doubles the sum just as the note A above middle C= 440cps while the note A an octave
higher= 880cps
Base 10 Math:
102=100
103=1000
104=10000
Each
higher power multiplies the sum by 10, a clonvenience for dealing with
large nmumbers.
But when cells reproduce, they
double, they don't mutliply by 10. When complex systems
bifurcate, they double, they don't multiply by 10
1.
RHYTHMS IN HUMAN NATURE
16
We can do this using a mathematics to the base two, rather than base ten, to quantify change, because it more faithfully represents the bifurcations, branching patterns, period doublings and halvings inherent in living nature. Using computerized musical analysis programs, we will develop methods that quantify nonlinear bio-oscillators clashing in complex ways. We will register out of tune notes, notes that are not quite noise, as beat frequencies. The influences of waveforms on each other, conceived biophysically, will link the non-living and the living world in a new way, joining physics with biology, biology with behavior, and behavior with culture.
The I Ching uses powers of two to express change. In the trigrams and hexagrams, there are only two symbols: the solid line and the dashed line. The solid line is about to bifurcate, the dashed line has already bifurcated and is in its resting condition, ready to come together. We can represent every curve on a waveform unfolding in time by trigrams built on powers of two. The notation makes perfect sense.
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© Ira Rosenberg, 2009. Some rights reserved. This work is licensed under a Creative Commons Attribution 3.0 United States License Please credit me for use of my material”