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Re: Math and music
Posted:
Oct 16, 2004 9:26 AM
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"Allen L. Barker" <alb@datafilter.com> wrote in message
<a href="news://M80cd.5918$SZ5.4566@newsread2.news.atl.earthlink.net...">news://M80cd.5918$SZ5.4566@newsread2.news.atl.earthlink.net...</a>
>...there are some
> very nice and practical applications of group theory to
> music.
Interestingly the operations of "moving by an interval from one
note to another" as is being discussed at length under "query about
compound intervals..." form a group. But only if you consider
"directed intervals" (otherwise there is no inverse). I think this
one of the things which underlies my eschewing the consideration of
positive intervals only.
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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