Music:  Broken Symmetry, Geometry, and Complexity - Videos

To watch a video, click a link after the Example name .  A link  RAR  is for a RAR-compressed file of an AVI video.  Go to http://www.rarlab.com/ to get the WinRAR software for decompressing these files.  With these AVI videos, no audio or video compression was done, so they are the best to view.  But they are often very large files, so WinRAR was used to perfectly compress them.  A link  FLV  is for a Flash video.  A link  YouTube  is for a YouTube video, which should work for just about all browsers and operating systems.    These latter two types of videos are of lesser quality, but should be more compatible with non-Windows browsers and operating systems.  The YouTube videos do provide acceptable sound (especially with headphones), and they have the advantage that other, related music videos are made available to you. 

Example 1:  Pavarotti's vocals     RAR   FLV   YouTube

Example 2:  Choral and Solo Voicings     RAR   FLV   YouTube

Example 3:  Trumpet playing and singing of Louis Armstrong

                   Trumpet:   RAR   FLV   YouTube

                   Vocals:   RAR   FLV   YouTube

Example 4:  Dissonance in Rock Music     RAR   FLV   YouTube