Re: Slanted Beams thickness,Slanted Beams thickness

[Werner LEMBERG]

> 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.

Looks good!  However, I don't fully agree with the thickness values in
your experimental example.  For very steep angles the beam appears a
little bit too thick IMHO; I think there should be a correction
factor.


    Werner