%0 Journal Article %A Augustus, Bert %T Over Beiaarden en Mensuren %D 2023 %J Beiaard- en Klokkencultuur in de Lage Landen, %V 2 %N 1 %P 87-115 %@ 2772-8080 %R https://doi.org/10.5117/BKL2023.1.004.AUGU %K wiskunde %K klok %K klavierinstrument %K beiaard %K scaling %K Hemony %K profiel %K mensuur %I Amsterdam University Press, %X Abstract For keyboard instruments with strings or organ pipes, the principle of the Pythagorean curve is in most cases not maintained over the entire size of the instrument. The same applies to carillons. Especially at the treble part of carillons, the diameter of bells is larger than according to the Pythagorean curve. Already in the seventeenth century bell founders made special bell designs for treble bells. In this article we define the different proportions (‘mensuren’) in the bell profile and we show the scaling in carillons. The Hemony brothers were very meticulous in the design of their bells and carillons. More research using today’s computer mathematics will probably give more information on the designing tools of the Hemony brothers. %U https://www.aup-online.com/content/journals/10.5117/BKL2023.1.004.AUGU