[PD] GEM Shear / angle relationship - sinusoidal error

[cristiano figueiró]

Hi Ed!

Thanks for sharing this patch, i remember when you did show this project.
Here is missing [0_maker_1] abstraction in the package.
Cheers,
Cristiano


On Wed, Sep 1, 2010 at 8:06 PM, Ed Kelly <morph_2016 at yahoo.co.uk> wrote:

> Yes, that's what I meant to say. Radians is only for the [tan], but it's
> quite
> useful elsewhere.
> I have been feeling guilty all day, for the archives being wrong-headed :)
> from
> me.
>
> I have a nice trig patch now :) maybe I should submit a good trig patch to
> GEM
> documentation. Perhaps we could help - since many artists struggle with
> this (my
> math teacher at school was really intimidating!)
>
> But, I have noticed a sinusoidal error with the graphics in my patch. So,
> here
> is the real thing!
>
> It's my notation system. I was trying to keep it a secret until it is
> entirely
> ready, but open source projects demand open-source solutions, so here's the
> current prototype. Notice that when you move the second note up and down,
> there
> is a sinusoidal error in the [shearYX] -ed half-beam sheared rectangles. Is
> there any way to calculate this and compensate for it? I must have missed
> something...
>
> ...Classical players can be quite particular about such issues! I want it
> to
> look good.
>
> PS - For the Brazilians I showed this to, I love you and will deliver this
> soon.
>
> X
> Ed
>  Metastudio 3 for Pure Data - Free download at:
> http://sharktracks.co.uk/puredata
>
>
>
> ----- Original Message ----
> From: cyrille henry <ch at chnry.net>
> To: Ed Kelly <morph_2016 at yahoo.co.uk>
> Cc: Claude Heiland-Allen <claudiusmaximus at goto10.org>; PD List <
> pd-list at iem.at>
> Sent: Wed, 1 September, 2010 20:44:56
> Subject: Re: [PD] GEM Shear / angle relationship
>
>
>
> Le 01/09/2010 10:37, Ed Kelly a écrit :
> > Thanks for unlocking my broken trig head.
> >
> > This should really be in the documentation. The angle is in radians.
> Patch
> > enclosed...
> no, the angle is not in radian.
> in fact, shear is a non rotational space distortion, there is no angle...
>
> shear distord 1 direction in relation to the coordinate on a 2nd direction.
> As Claude explain, you can calculate an angle from this distortion, based
> on 2
> dimension. The tan object is in radian. that's the only thing in radian.
>
> Cyrille
>
>
>
> >
> > Best,
> > Ed
> >
> >   Metastudio 3 for Pure Data - Free download at:
> > http://sharktracks.co.uk/puredata
> >
> >
> >
> > ----- Original Message ----
> > From: Claude Heiland-Allen<claudiusmaximus at goto10.org>
> > To: Ed Kelly<morph_2016 at yahoo.co.uk>
> > Cc: PD List<pd-list at iem.at>
> > Sent: Wed, 1 September, 2010 1:09:43
> > Subject: Re: [PD] GEM Shear / angle relationship
> >
> > Hi Ed,
> >
> > On 31/08/10 15:31, Ed Kelly wrote:
> >> Can anyone tell me how to calculate the 'shear' value (when using
> [shearYX]
> in
> >> Gem) from an angle (degrees or radians, I don't mind)?
> >
> > This is just a guess, for one direction of shear in 2D space:
> >
> > shear = tan(angle)  (the angle marked ** in the ascii diagram below)
> >
> > |   __________
> > |**/         /
> > | /         /
> > |/_________/
> >
> >
> > (because tan(0) = 0, tan(45deg) = 1, tan(90deg) = inf)
> >
> > Otherwise try drawing triangles and doing some trigonometry
> > (in a right-angle triangle:
> > sin=opposite/diagonal
> > cos=adjacent/diagonal
> > tan=opposite/adjacent
> > )
> >
> >
> > Claude
> > -- http://claudiusmaximus.goto10.org
> >
> >
> >
> >
> >
> >
> >
> > _______________________________________________
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>
>
>
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