On Thu, Mar 24, 2022 at 6:46 PM Valentin Petzel <valen...@petzel.at> 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. > I was looking through the lilypond-devel archives trying to find discussions that I thought were held on this subject previously, but I couldn't find them. I did, however, find this post that indicates that the beam thickness and the blot diameter interact when determining the angle of the beam as defined by its centerline: https://lists.gnu.org/archive/html/lilypond-devel/2019-06/msg00023.html I found the attached .png to be quite interesting. Thanks, Carl