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April 29

Music computation

Given the beginning of a musical composition, how to mathematically compute the rest? 118.70.177.182 (talk) 04:37, 29 April 2012 (UTC)[reply]

Of one that already exists, or for the generation of new music?--Gilderien Chat|List of good deeds 11:13, 29 April 2012 (UTC)[reply]

Of course, there are multiple ways to end a piece from a given start. However, you could make a program that would apply a standard series of variations (changes in instrumentation, substituting chords for single notes, counterpoint, changes in octave, etc.) to a given musical phrase. StuRat (talk) 11:49, 29 April 2012 (UTC)[reply]

Maybe Analytic continuation?-77.127.57.229 (talk) 12:43, 29 April 2012 (UTC)[reply]

Latex package for Dynkin diagrams

Does anyone know of a decent LaTeX package for drawing Dynkin diagrams? I can only make them look nice if I draw them "manually" (basically with bullets and rules, manually adjusting every space so that it comes out right). I have tried (perhaps inexpertly) to use xypic as well, but the diagrams come out too big (and just not looking quite right either). Does anyone know of a more targeted solution? Sławomir Biały (talk) 12:07, 29 April 2012 (UTC)[reply]

Are you aware of http://lesha.goder.com/dynkin-diagrams.html ? Looie496 (talk) 17:54, 29 April 2012 (UTC)[reply]

Yes, I had seen that a long time back. They didn't really look good enough to me to warrant the pain of and lack of flexibility of importing eps files. I'm looking for a flexible (or at least hackable) LaTeX solution. Given that things like xypic and amscd are possible, surely there must be a native LaTeX solution out there? Sławomir Biały (talk) 21:10, 29 April 2012 (UTC)[reply]

I've been using tikz to draw finite automata recently. It's a graph drawing package, and it should be able to do Dynkin diagrams too; I didn't read any more of the documentation than what I needed for my own stuff, but I noticed it has support for multiple edge types, so it probably has what you need.--130.195.2.100 (talk) 23:26, 29 April 2012 (UTC)[reply]

Thanks, that looks very promising. I'll give it a try. Sławomir Biały (talk) 12:30, 30 April 2012 (UTC)[reply]

PGF/TikZ :-) 86.104.57.242 (talk) 10:23, 6 May 2012 (UTC)[reply]

Have you tried dynkin-diagrams (https://ctan.org/pkg/dynkin-diagrams)?