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Topic: Math and music
Replies: 44   Last Post: Oct 20, 2004 7:38 AM

 Messages: [ Previous | Next ]
 Matthew Fields Posts: 153 Registered: 12/13/04
Re: Math and music
Posted: Oct 16, 2004 12:35 PM

In article &lt;ckrifm\$oj5\$1\$8302bc10@news.demon.co.uk&gt;,
David Webber &lt;dave@musical.demon.co.uk&gt; wrote:
&gt;
&gt;"graham breed" &lt;usenet@microtonal.co.uk&gt; wrote in message
&gt;<a href="news://2tcu4eF1ulan2U1@uni-berlin.de...">news://2tcu4eF1ulan2U1@uni-berlin.de...</a>
&gt;
&gt;&gt; You can get an inverse from undirected intervals by enforcing
&gt;&gt; octave equivalence. So a perfect fifth is the inverse of a
&gt;&gt; perfect fourth. I'm not sure if the result is a group ... or at
&gt;&gt; least one that makes sense. It wouldn't be "moving by an
&gt;&gt; interval" anyway, but building up chords.
&gt;
&gt;It is a group, but a smaller one - there are no 9ths etc. It
&gt;
&gt;Dave
&gt;--
&gt;David Webber
&gt;Author MOZART the music processor for Windows -
&gt;<a href="http://www.mozart.co.uk">http://www.mozart.co.uk</a>
&gt;For discussion/support see
&gt;<a href="http://www.mozart.co.uk/mzusers/mailinglist.htm">http://www.mozart.co.uk/mzusers/mailinglist.htm</a>

In which case the distinction between interval, directed interval, and
transposition operator still all retain their salience.

--
Matthew H. Fields <a href="http://personal.www.umich.edu/~fields">http://personal.www.umich.edu/~fields</a>
Music: Splendor in Sound
To be great, do things better and better. Don't wait for talent: no such thing.
Brights have a naturalistic world-view. <a href="http://www.the-brights.net/">http://www.the-brights.net/</a>

Date Subject Author
10/13/04 David Dalton
10/13/04 Timothy Murphy
10/14/04 Thomas Mautsch
10/13/04 Bob Pease
10/14/04 hs
10/14/04 Bob Pease
10/13/04 Dave Schutt
10/13/04 Matthew Fields
10/13/04 Jon Slaughter
10/14/04 David Webber
10/14/04 Phil Carmody
10/14/04 David Webber
10/14/04 Jon Slaughter
10/14/04 David Webber
10/14/04 Martin Penderis
10/15/04 lutonomy
10/15/04 Robert Israel
10/15/04 David Webber
10/15/04 paramucho
10/15/04 lutonomy
10/15/04 Chan-Ho Suh
10/15/04 Matthew Fields
10/15/04 Bob Pease
10/15/04 Matthew Fields
10/15/04 Bob Pease
10/15/04 Gerry Myerson
10/15/04 Jon Slaughter
10/14/04 Bob Pease
10/14/04 George Cox
10/14/04 David Webber
10/13/04 Gerry Myerson
10/14/04 Bob Pease
10/15/04 John M. Gamble
10/15/04 Allen L. Barker
10/16/04 Allen L. Barker
10/16/04 David Webber
10/16/04 Matthew Fields
10/16/04 Graham Breed
10/16/04 David Webber
10/16/04 Matthew Fields
10/16/04 Graham Breed
10/16/04 Matthew Fields
10/16/04 Matthew Fields
10/19/04 K. E. Pledger
10/20/04 Eckard Blumschein