johannes quint has an example of shepard tones in his course materials. the s.t. are the most obvious spiral sound i can think of off hand.
it would be trivial to rewrite the code for fm-violin


http://www.johannes-quint.de/cm/html/shepard.html


On Jul 11, 2007, at 10:17 AM, john henry dale wrote:

Hi,
This is a rather conceptual question, but I am interested in trying to somehow represent the concept of a spiral in CLM. I figure this would probably involve the golden ratio and fibonacci series number, but I am stuck as to how to begin and how this "sound spiral" would actually sound. This corresponds to my earlier question about just intonation, because according to Alain Danielou ( in his book Music and the Power of Sound), the circle of fifths originated from a "spiral of fifths", which was modified by either slightly sharping or flatting certain notes to get equal temperament for the pianoforte; just intonation, according to him, was a truer representation of the "pure" musical intervals that occurred in nature, so to speak. I guess my goal here is try to somehow represent the concept of the spiral both melodically and rhythmically in CLM since this pattern seems to inform so much of how of and why things evolve the way they do. This could obviously get very complicated and beyond the timeframe I have to complete my project, so I'm hoping for short but potent bits of information here. Sorry to lay such a huge question on what is generally a fairly practical discussion list, but I need to find ways of narrowing the focus of this idea soon.
Thanks much,
JHD


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