My presentation today will combine two of my favorite things: music and math. While looking for articles I stumbled upon an article titled “Tuning with Triangles” by Leon Harkleroad published in The College Mathematics Journal, Vol. 39, No. 5 (Nov.,2008).

Harkleroad’s article covered the basics of tuning, focusing on centuries-old methods of tuning instruments with geometry. The article mentions Galilei, Moshaqah, and Strahle and their respective mathematical methods to tuning instruments. I choose to use Galilei’s method of right triangles and his approximation using exponentials. My presentation will cover his methodology and error.