Hi Fons,

The weakness of the system is not the precision of the bubble location, which 
is almost perfect, but the human’s uncertainty due to bubble curvature, 
refraction, etc. I think the graphic perfectly demonstrates that:
https://pixabay.com/photos/spirit-level-tool-craft-to-build-2081193/

Best,
Tim



♪ ♫ ♪ ♫ ♪ ♫ ♪ ♫ ♪ ♫ ♪ ♫ ♪ ♫ ♪ ♫

Dr. Tim Ziemer
Bremen Spatial Cognition Center
University of Bremen
28359 Bremen
Office: Cartesium 3.13
Enrique-Schmidt-Str. 5
Fon + 49 (0) 421-218-64280
Fax + 49 (0) 421-218-64239
zie...@uni-bremen.de
https://bscc.spatial-cognition.de/ziemer

> On 1. Mar 2022, at 14:11, Fons Adriaensen <f...@linuxaudio.org> wrote:
> 
> On Tue, Mar 01, 2022 at 01:11:52PM +0100, Tim Ziemer wrote:
> 
>> Errors of more than one degree are very common.
> 
> Where do you get that ? Just look up some specs. Even a cheap
> (20 Euro) plastic bubble level can have a sensitivity [1] of
> 1/2000 (0.03 degrees).
> 
> Absolute accuracy is easy to check, just turn the level by
> 180 degrees.
> 
> Those used by e.g. surveyors (still analog 'bubble') can be
> orders of magnitude better.
> 
> Most people have absolutely no idea of how accurate old-school
> analog things can be. Manufacturing and use of some of those 
> is based on hundreds of years of experience. 
> 
> [1] Sensitivity is the inclination required to move the bubble
> by one graduation line. Graduation lines are typically 2 mm
> apart.
> 
> Ciao,
> 
> -- 
> FA
> 
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