diff nime2012/mtriange.tex @ 40:01639248a310

better diagram.  study particpants report.

--- a/nime2012/mtriange.tex	Wed Feb 08 00:12:13 2012 +0000
+++ b/nime2012/mtriange.tex	Wed Feb 08 01:57:06 2012 +0000
@@ -210,12 +210,14 @@
 
 
 \subsection{Observation/Discussion}
-[todo]
+After the experiments the participants were asked to comment on what they thought was happening when they moved the token around the triangle.  They all correctly identified the repetitiveness of the melodies from the low redundancy, low entropy and low information rate area of the triangle, that is the 'repetition' corner (see fig \ref{TheTriangle}).  They all identified the randomness of the high entropy rate corner of the triangle.  Similarly most participants identified the `looping' inherent in the periodic melodies along the `repetition' to `periodicity' edge.
+
+However the descriptions of the intermediate areas and lower edge, that is areas with greater predictive information rate, varied.  Some felt that those areas were quite random and they couldn't really distinguish these from the noise area of the triangle, others found that these were more `interesting' and `melodic' and reported enjoying dwelling there.  Although there seemed to be a positive correlation between these positive ascriptions and the musical sophistication index, our sample size was too small to claim any statistical significance. 
 
 \section{Further Work}
-In using first-order Markov chains the patterns generated don't have any long term structure or form and as such the melodies generated don't seem to `go anywhere' in the long term.  The Melody Triangle and is better suited to creating textures and patterns as oppose to composing over-arching musical structures.  
+In using first-order Markov chains the patterns generated don't have any long term structure or form and as such the melodies generated don't seem to `go anywhere' in the long term.  As it stands the Melody Triangle and is better suited to creating textures and patterns as oppose to composing over-arching musical structures.  
 
-We are currently investigating how higher-order Markov models can be mapped to information theoretic measures and if the Melody Triangle could be adapted to those models.  This would generate a higher level patterns and provide more long-term structures.  
+We are currently investigating how higher-order Markov models can be mapped to information theoretic measures and adapting the Melody Triangle to those models.  This would generate a higher level patterns and provide more long-term structures.  
  
  As it stands, the streams of symbols generated are only mapped to note values.  However they could just as well be applied to any other musical property, such as intervals, chords, dynamics, timbres, structures and key changes.  The possibilities for the Melody Triangle to be compositional guide in these other domains remains to be investigated.