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----- Original Message -----
From: "Oeyvind Brandtsegg"
To:
Sent: Friday, April 18, 2008 10:42 PM
Subject: [Csnd] Re: Re: Re: Re: [Cs-dev] Geometrical music theory
> Thanks for the reminder on this interesting topic, Michael.
> I'll certainly look into implementing this technique in ImproSculpt
> too, as soon as time permits. Maybe the easiest and most effective way
> would be to use the csound API to access the CsoundAC methods from the
> Python host (?), more efficient than re-implementing the same in
> Python.
> Regarding this, how "fully ported to all platforms" is CsoundAC now,
> is it distributed in all binary builds ?
> best
> Oeyvind
>
> 2008/4/18, Michael Gogins :
>> Actually, on closer examination, it looks like geometry.pdf contains both
>> the Science paper (or a version or draft of it) and the online supporting
>> materials, labeled as such.
>>
>> When I first got interested in algorithmic composition around 1984, I had
>> this basic idea of a chord as a point in an N-dimension Euclidean space
>> myself. Unfortunately, I had neither the mathematical background, nor the
>> music-theory background, to develop this idea, so for me it died
>> stillborn.
>>
>> Therefore, for me, this paper represents a welcome and graspable entry
>> into mathematical music theory. From it and ealier papers I've been able
>> to learn quite a bit about math and also about music theory.
>>
>> I think Tymoczko is pretty level-headed and empirically minded, doesn't
>> try to push things too far, is more interested in fundamentals than in
>> elaborations (unlike some of his colleagues), and tries hard to make
>> himself understandable (also unlike some of his colleagues, and this is
>> not so easy, believe me). Most importantly, think the ideas in the paper
>> are at an appropriate level of abstraction and fit the data reasonably
>> well.
>>
>> The various equivalence classes/orbifolds, group generators, fundamental
>> domains, and so on in this paper and related papers provide the first
>> instances of music theory that I have been able to more or less directly
>> translate into code for algorithmic composition with useful results.
>>
>> Tymoczko himself has written some Java software to illustrate these
>> ideas, which you can download from his Web site. I recommend trying it
>> out -- it should make what is an orbifold etc. much easier to see.
>>
>> I suspect Tymoczko is playing with this stuff for algorithmic composition
>> himself. I don't what the other authors might be up to.
>>
>> Drew Krause, by the way, a composer friend of mine here in New York, has
>> been working with related ideas (chords as points moving in the Tonnetz,
>> etc.) in Lisp code for algorithmic composition then rendered with Csound.
>>
>> Regards,
>> Mike
>>
>> -----Original Message-----
>> >From: Michael Gogins
>> >Sent: Apr 18, 2008 1:31 PM
>> >To: csound@lists.bath.ac.uk
>> >Subject: [Csnd] Re: Re: [Cs-dev] Geometrical music theory
>> >
>> >I believe the link you provide below is to the article they originally
>> >wrote. It looks like the Science editors then chopped it in two, a short
>> >Science article written in incomprehensible jargon and the rest which is
>> >now the "online supporting materials."
>> >
>> >So I think your link points to a more readable paper covering the same
>> >ground.
>> >
>> >It also is possible that there are errors in the linked paper that have
>> >been corrected in the Science materials.
>> >
>> >Thanks for the question,
>> >
>> >Mike
>> >
>> >-----Original Message-----
>> >>From: Steven Yi
>> >>Sent: Apr 18, 2008 11:23 AM
>> >>To: csound@lists.bath.ac.uk
>> >>Subject: [Csnd] Re: [Cs-dev] Geometrical music theory
>> >>
>> >>Hi Michael,
>> >>
>> >>I think I found the article here:
>> >>
>> >>www.music.princeton.edu/~dmitri/geometry.pdf
>> >>
>> >>Could you confirm if this is the same article as that found in Science?
>> >>
>> >>Thanks!
>> >>steven
>> >>
>> >>On Fri, Apr 18, 2008 at 6:08 AM, Michael Gogins
>> >>wrote:
>> >>> I bring to your attention the following publication by Clifton
>> >>> Callender, Ian Quinn, Dmitri Tymoczko, "Generalized Voice-Leading
>> >>> Spaces", 18 April 2008, Science 320, 346 (2008).
>> >>>
>> >>> This article and supporting online material summarizes the last
>> >>> several years of work by these scholars on geometrical music theory,
>> >>> which involves representing voice-leading spaces as orbifolds, chords
>> >>> as points in such spaces, and so on.
>> >>>
>> >>> I mention this here because the CsoundAC Python extension module
>> >>> (written by me) for algorithmic composition with Csound uses some of
>> >>> these ideas for score generation, voice-leading, and score
>> >>> transformation. I am confident that the geometrical representation of
>> >>> musical entities will continue to bear new fruit in algorithmic
>> >>> composition for some time to come.
>> >>>
>> >>> Anyone interested in the algorithmic composition (or analysis) of
>> >>> pitch related materials should find this paper a very useful summary
>> >>> of this important and innovative approach to mathematical music
>> >>> theory.
>> >>>
>> >>> Regards,
>> >>> Mike
>> >>>
>> >>>
>> >>>
>>
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>> >>
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