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Re: Math and music
Posted:
Oct 14, 2004 6:06 PM
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"George Cox" <george_coxanti@spambtinternet.com.invalid> wrote in
message <a href="news://416EE25B.A3DB7821@spambtinternet.com.invalid...">news://416EE25B.A3DB7821@spambtinternet.com.invalid...</a>
> 0 would seem to be the smallest (non-negative) number with the
> most
> 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 < 6+4+3+2+1 is abundant.
10 > 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 £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>
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