Per què entonem bé les guitarres amb trasts no paral·lels? Authors Miquel Albertí Palmer Abstract Traditional guitars are built with parallel frets. From a geometric perspective, Thales’ theorem explains their intonation thanks to the parallel and transverse straight lines composed by the frets and strings. But since several years ago, guitarswithout parallel frets have become quite popular. Without parallelism of strings or frets, how is their correct intonation explained? The answer is a geometric theoremconcerning the conservation of proportionality despite the lack of any parallelism. All this has important implications formathematical research in a labour and artisanal field such as lutherie and for education,making the guitar a mathematical learning resource through which geometry speaks. Downloads Download data is not yet available. Downloads PDF (Català) Issue No. 49: desembre 2022 Section Articles License The intellectual property of articles belongs to the respective authors.On submitting articles for publication to the journal NouBiaix, authors accept the following terms:Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to NouBiaix.Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.NouBiaix is not responsible for the ideas and opinions expressed by the authors of the published articles.
