The new shape of music: Music has its own geometry, researchers find


	The new shape of music: Music has its own geometry, researchers find

Silkweaver

4-17-2008 7:24 PM

1067 views

tags:

music, musicology

Silkweaver says:

Fascinating!

3 Comments |

Add a Comment

4-18-2008 5:43 PM

BartendingBear

The brilliance of creative genius in employing this structure, however, is likely always to be an irrational number; an impassioned human spirit.

4-18-2008 8:36 PM

Silkweaver

Yes!

4-19-2008 7:30 AM

skwirlinator

Music genterated images - Animusic

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<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://www.clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/a0173749-9874-47ed-a775-c0d9b6fc2330/ADAB2D7E-1C93-450F-B87E-BDE3F1257699/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://www.physorg.com/news127659537.html" href="http://www.physorg.com/news127659537.html" style="font-size: 11px;">www.physorg.com</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.physorg.com/news127659537.html"><div align="center"><img src="http://content6.clipmarks.com/blog_cache/www.physorg.com/img/4E70CA51-CCF8-4E73-9DBD-B6B5E8525F57" alt="The figure shows how geometrical music theory represents four-note chord-types -- the collections of notes form a tetrahedron with the colors indicating the spacing between the individual notes in a sequence. In the blue spheres the notes are cluster ..." /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.physorg.com/news127659537.html">  
The connection between music and mathematics has fascinated scholars for centuries. More than 200 years ago Pythagoras reportedly discovered that pleasing musical intervals could be described using simple ratios.</blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.physorg.com/news127659537.html">Writing in the April 18 issue of Science, the trio has outlined a method called "geometrical music theory" that translates the language of musical theory into that of contemporary geometry. They take sequences of notes, like chords, rhythms and scales, and categorize them so they can be grouped into "families." They have found a way to assign mathematical structure to these families, so they can then be represented by points in complex geometrical spaces, much the way "x" and "y" coordinates, in the simpler system of high school algebra, correspond to points on a two-dimensional plane.</blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.physorg.com/news127659537.html">The work represents a significant departure from other attempts to quantify music</blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.physorg.com/news127659537.html"><DIV>The method could help answer whether there are new scales and chords that exist but have yet to be discovered.
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