>> Every measurement you do in a piano should be accompanied by a relative >> error of measurement discussion (which should be easy) > > I'm not sure what you mean by this. > > Phil Ford Sorry for my English, Phil. By relative error of measurement, I mean just this : when you measure, say, the length of a string, you use, say, a ribon meter graduated every 1 mm ; so when you take the measure of a string and find that it is say 1000 mm long, you should rather say that it's length is for sure somewhere between 999.5 mm and 1000.5 mm. 1 mm is here the absolute error of measurement that you make (the largest difference possible between your reading and the actual length of the string). Reported to a length of 1000 mm this means a relative error (the absolute error divided by the nominal length) of 0.1 % ; when reported to a length of 50 mm, the same system of measurement induces a relative error of 2 % , which is 20 times more. When using those nominal data (1000 mm or 50 mm) in a formula multiplicating those values, the relative error of the results is also multiplicated. We should keep an eye on the time where the results have such large relative errors that they don't mean anything of use anymore. In French it is called "erreur relative". What is the word for that in English ? Best regards, Stéphane Collin.
This PTG archive page provided courtesy of Moy Piano Service, LLC