wedge products

Hi all

I have noticed that, in music theory, multivectors and wedge products
are sometimes used (for instance see
http://tonalsoft.com/enc/encyclopedia.aspx). I have also noticed, from
the group discussions, that some use Maple ( R. Ablamowitz's Clifford
package) or Matlab (GABLE toolbox).
I wonder if anybody has heard of CLICAL, a multivector calculator by
P. Lounesto and which can be downloaded for free from
http://users.tkk.fi/~ppuska/mirror/Lounesto/CLICAL.htm.
The program is very small (97 K in the zip.), it is easy to use, the
manual is brief. I have tested it using the examples presented in the
tonalsoft site.
I would appreciate it if other members could tell me of other
interesting pieces of software (freeware) that can be used in music
theory (number theory programs, group theory programs, linear algebra
etc.)
Alfredo

Alfredo Gomez Rodriguez wrote:
> Hi all
> > I have noticed that, in music theory, multivectors and wedge products
> are sometimes used (for instance see
> http://tonalsoft.com/enc/encyclopedia.aspx). I have also noticed, from
> the group discussions, that some use Maple ( R. Ablamowitz's Clifford
> package) or Matlab (GABLE toolbox). > I wonder if anybody has heard of CLICAL, a multivector calculator by > P. Lounesto and which can be downloaded for free from
> http://users.tkk.fi/~ppuska/mirror/Lounesto/CLICAL.htm.
> The program is very small (97 K in the zip.), it is easy to use, the
> manual is brief. I have tested it using the examples presented in the
> tonalsoft site. It doesn't work for me. I may have used it before -- at least something similar.

> I would appreciate it if other members could tell me of other
> interesting pieces of software (freeware) that can be used in music
> theory (number theory programs, group theory programs, linear algebra
> etc.) I use Python for lots of things and I've copied code to Ocaml, C, and Pyrex. The source code is at

http://x31eq.com/temper/ (new link that might not be active for you)
http://microtonal.co.uk/temper/ (old link that's unreliable)

If I can get on my soap box for a minute, I do wish applications like this CLICAL were written as libraries for existing, free languages instead of as standalone languages. Language design isn't easy and it's nice to be able to mix libraries.

The third-party libraries I use for Python are the now obsolete Numeric extensions (I haven't moved to NumPy yet) which use LAPACK for matrices, and Pulp using GLPK for linear algebra. Neither are required for the searches I'm most interested in. I wrote my own code for wedge products that's very versatile but not efficient.

The usual Swiss Army chainsaw for tuning theory is Scala:

http://www.xs4all.nl/~huygensf/scala/index.html

Graham

At 01:42 AM 12/2/2006, you wrote:
>Alfredo Gomez Rodriguez wrote:
>> Hi all
>>
>> I have noticed that, in music theory, multivectors and wedge products
>> are sometimes used (for instance see
>> http://tonalsoft.com/enc/encyclopedia.aspx). I have also noticed, from
>> the group discussions, that some use Maple ( R. Ablamowitz's Clifford
>> package) or Matlab (GABLE toolbox).
>> I wonder if anybody has heard of CLICAL, a multivector calculator by
>> P. Lounesto and which can be downloaded for free from
>> http://users.tkk.fi/~ppuska/mirror/Lounesto/CLICAL.htm.
>> The program is very small (97 K in the zip.), it is easy to use, the
>> manual is brief. I have tested it using the examples presented in the
>> tonalsoft site.
>
>It doesn't work for me. I may have used it before -- at least something
>similar.

You're not thinking of Octave are you?

-Carl

Carl Lumma wrote:
> At 01:42 AM 12/2/2006, you wrote:
>> Alfredo Gomez Rodriguez wrote:
>>> Hi all
>>>
>>> I have noticed that, in music theory, multivectors and wedge products
>>> are sometimes used (for instance see
>>> http://tonalsoft.com/enc/encyclopedia.aspx). I have also noticed, from
>>> the group discussions, that some use Maple ( R. Ablamowitz's Clifford
>>> package) or Matlab (GABLE toolbox). >>> I wonder if anybody has heard of CLICAL, a multivector calculator by >>> P. Lounesto and which can be downloaded for free from
>>> http://users.tkk.fi/~ppuska/mirror/Lounesto/CLICAL.htm.
>>> The program is very small (97 K in the zip.), it is easy to use, the
>>> manual is brief. I have tested it using the examples presented in the
>>> tonalsoft site. >> It doesn't work for me. I may have used it before -- at least something >> similar.
> > You're not thinking of Octave are you?

No. I've looked at Octave, or at least downloaded it, but I was thinking of a language for some specific kind of algebra.

Graham

--- In tuning-math@yahoogroups.com, "Alfredo Gomez Rodriguez"
<fouriersche@...> wrote:

> I wonder if anybody has heard of CLICAL, a multivector calculator by
> P. Lounesto and which can be downloaded for free from
> http://users.tkk.fi/~ppuska/mirror/Lounesto/CLICAL.htm.
> The program is very small (97 K in the zip.), it is easy to use, the
> manual is brief.

I haven't heard of it, but thanks for telling us about it.

> I would appreciate it if other members could tell me of other
> interesting pieces of software (freeware) that can be used in music
> theory (number theory programs, group theory programs, linear algebra
> etc.)
> Alfredo

I use it for pure math stuff rather than music, but a freeware program
I like and which can do a hell of a lot is pari:

pari.math.u-bordeaux.fr/download.html