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

 Messages: [ Previous | Next ]
 David Webber Posts: 7 Registered: 12/13/04
Re: Math and music
Posted: Oct 14, 2004 6:06 PM

"George Cox" &lt;george_coxanti@spambtinternet.com.invalid&gt; wrote in
message <a href="news://416EE25B.A3DB7821@spambtinternet.com.invalid...">news://416EE25B.A3DB7821@spambtinternet.com.invalid...</a>

&gt; 0 would seem to be the smallest (non-negative) number with the
&gt; most
&gt; divisors--assuming that that phrase means anything.

It doesn't to most people. Integers are classed as deficient,
perfect, or abundant.

The divisors of a perfect number (including by convention 1 but not
itself) add up to the number.

6 = 3 + 2 + 1 is a perfect number.

12 &lt; 6+4+3+2+1 is abundant.

10 &gt; 5 + 2 + 1 is deficient

As far as I know these properties are mainly just a curiosity. But
for example a currency system based on 12 would be useful as you can
share things out in more ways. Our old Â£1 = 240d was very shareable
:-)

Dave

--
David Webber
Author MOZART the music processor for Windows -
<a href="http://www.mozart.co.uk">http://www.mozart.co.uk</a>
For discussion/support see
<a href="http://www.mozart.co.uk/mzusers/mailinglist.htm">http://www.mozart.co.uk/mzusers/mailinglist.htm</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