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#1139913 - 03/07/05 12:33 PM Your Bookmarks > Jazz  
Joined: Jul 2004
Posts: 66
Galois Offline
Full Member
Galois  Offline
Full Member

Joined: Jul 2004
Posts: 66
Buenos Aires
I'll try to be concise.

So, what have you bookmarked?
smile

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  
Joined: Jul 2004
Posts: 66
Galois Offline
Full Member
Galois  Offline
Full Member

Joined: Jul 2004
Posts: 66
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.
#1139915 - 03/08/05 09:31 PM Re: Your Bookmarks > Jazz  
Joined: May 2002
Posts: 790
Ted2 Offline
500 Post Club Member
Ted2  Offline
500 Post Club Member

Joined: May 2002
Posts: 790
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
#1139916 - 03/10/05 02:13 PM Re: Your Bookmarks > Jazz  
Joined: Jul 2004
Posts: 66
Galois Offline
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Galois  Offline
Full Member

Joined: Jul 2004
Posts: 66
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 wink


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

Moderated by  sharpsandflats 

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