Geometric Construction of Pythagorean and Just Musical Scales and Commas.

This article explores the differences between the equal-tempered scale, the Pythagorean scale, and the just scale in music. It explains how these scales are constructed using geometric methods and how they differ in terms of the ratios between notes. The article also discusses the concept of cents as a measure of the distance between notes and provides a table comparing the ratios and cents for the notes of the C major scale in each scale. Overall, the article highlights the historical and mathematical aspects of musical scales and their impact on our perception of music. [Extracted from the article]