Pianos and continued fractions

Abstract

Let me begin by explaining the way a scale is constructed. To avoid sharps and flats (and to make the diagrams easier to draw), I’ll use the key of C. So-called middle C represents a particular frequency. There are various standards for fixing the starting frequency. For string players in the U.S., it is commonly done by fixing an A at 440 Hz. Elsewhere, other pitches are common. I will avoid the question entirely (almost) by using the old trick of defining my units so that my middle C has a frequency of 1. Tomado del texto original Fecha de reseña: 09/06/2016