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#1139913 - 03/07/05 12:33 PM Your Bookmarks > Jazz
Galois Offline
Full Member

Registered: 07/07/04
Posts: 66
Loc: Buenos Aires
I'll try to be concise.

So, what have you bookmarked?
\:\)

Thanks,
Martin
_________________________
Qué pavorosa esclavitud de isleño,
yo, insomne, loco, en los acantilados,
las naves por el mar, tú por tu sueño.

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#1139914 - 03/08/05 08:02 PM Re: Your Bookmarks > Jazz
Galois Offline
Full Member

Registered: 07/07/04
Posts: 66
Loc: Buenos Aires
I've just edited my question, I guess it was too specific. Just suggest web pages, e-books, e-zines or whatever is worth to be read.

Thanks again.
_________________________
Qué pavorosa esclavitud de isleño,
yo, insomne, loco, en los acantilados,
las naves por el mar, tú por tu sueño.

Top
#1139915 - 03/08/05 09:31 PM Re: Your Bookmarks > Jazz
Ted2 Offline
500 Post Club Member

Registered: 05/04/02
Posts: 790
Loc: Auckland, New Zealand
Galois:

And do you apply groups to your piano music ? With a name like that surely you do ! It's possible to treat the piano as a cyclic group of order twelve and it then follows that every chord type maps onto a partition of twelve, regarded as semitone jumps. e.g. a major triad in root position is 4,3,5, a minor sixth 3,4,2,3 and so on.

A double application of the Polya Burnside theorem to the cyclic group, and then to the symmetry of each partition gives a total of 352 chord types possible on the piano. I published this in the local maths magazine years ago because music magazines wouldn't take it. It's too simple to be original to me but I've never seen another article about it.

I use it myself in my algorithmic composition routines.
_________________________
"Do what thou wilt shall be the whole of the law" - Aleister Crowley

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#1139916 - 03/10/05 02:13 PM Re: Your Bookmarks > Jazz
Galois Offline
Full Member

Registered: 07/07/04
Posts: 66
Loc: Buenos Aires
Haha! No, I don't apply groups to anything, probably because I don't know much of them yet. Last semester's classes didn't even introduce the introduction to modern Algebra. But I got your idea, though ;\)
_________________________
Qué pavorosa esclavitud de isleño,
yo, insomne, loco, en los acantilados,
las naves por el mar, tú por tu sueño.

Top

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