Xref: utzoo comp.music:1035 alt.fractals:205
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From: edgar@shape.mps.ohio-state.edu (Gerald Edgar)
Newsgroups: comp.music,alt.fractals
Subject: Re: Fractal Music Generation (summary)
Keywords: I need help
Message-ID: <1990Apr9.123724.4027@zaphod.mps.ohio-state.edu>
Date: 9 Apr 90 12:37:24 GMT
References: <562@bilver.UUCP>
Sender: usenet@zaphod.mps.ohio-state.edu
Organization: The Ohio State University, Dept. of Math.
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In article <562@bilver.UUCP> alex@bilver.UUCP (Alex Matulich) writes:
>
>I tried an experiment based on the generation of a Koch curve, assigning
>a relationship between note pitch and line angle, and another relationship
>between note duration and line length.  My experimented generated a

This sounds like something I have done.  I used about 10 of the common
"dragon curves" (including Koch).  The change in pitch was related to
the angle (360 degrees corresponds to an octave), and duration was
related to line segment length. Of course, the duration should be a
POWER of the line length (the exponent is the reciprocal of the
fractal dimension) in order to achieve true self-similarity.

The curve known as "McWorter's pentigree" uses angles of 72 and 144 degrees,
which correspond to intervals not used in Western music.  Peculiar.

If there is some interest I can post the programs.  (Logo source code,
or Macintosh executable.)  

(By the way, there is some literature on "fractal music", and it is NOT
this!!!)


--
  Gerald A. Edgar          
  Department of Mathematics             Bitnet:    EDGAR@OHSTPY
  The Ohio State University             Internet:  edgar@mps.ohio-state.edu
  Columbus, OH 43210   ...!{att,pyramid}!osu-cis!shape.mps.ohio-state.edu!edgar