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Re: Slanted Beams thickness

From: Abraham Lee
Subject: Re: Slanted Beams thickness
Date: Thu, 24 Mar 2022 19:19:05 -0600

Hey, Valentin!

On Thu, Mar 24, 2022 at 6:46 PM Valentin Petzel <> wrote:

> Hello,
> Lilypond handles slanted Beams in a geometrically weird way, that is, the
> thickness is not measured as the shortest distance between the opposing
> sides
> of the boundary, but as vertical distance. This results in Beams getting
> optically thinner and closer the higher the slope is. But we can very
> easily
> factor this out by adjusting the thickness to the slope. In fact if we
> want to
> achieve a real thickness theta the adjusted thickness would need to be
> theta·sqrt(1 + slope²). See attached an experimental example.
> Cheers,
> Valentin

I attempted to do this some years ago, but with my limited Scheme
abilities, I dropped it. In addition to the beam thickness correction, it
would probably be prudent to have the beam spacing corrected as well so the
white space between beams stays the same. Maybe? Just a thought.


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