chua and melodies

John Starret wrote:

>Another interesting note on the Chua circuit: Robert Ghrist has recently
proved that the unstable periodic orbits of the Chua equations represent
every knot and link type, in other words, solutions to the equation
represented in phase space contain knots of all types and links of all
types of knots with any and all types of knots. Under the right coding
procedure, the knots could be made to represent melodies. There is
probably a way to code the orbits so that every possible melody line (up
to rhythm) is represented. Perhaps also every possible harmonization
(again mod rhythm) via a coding of the links.

I would think that this would not bode well for the usability
of Chua's circuit in musical applications. After all, random numbers,
the digits of pi, many things will give you "all possible sequences"
(translate into "all possible melodies" at your own risk).
The trouble is that only some sequences of tones make musical sense...

bill sethares