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Slanted Beams thickness

From: Valentin Petzel
Subject: Slanted Beams thickness
Date: Fri, 25 Mar 2022 01:44:58 +0100


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.


Attachment: slanted beam thickness-current.pdf
Description: Adobe PDF document

Attachment: slanted beam thickness-new.pdf
Description: Adobe PDF document

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