**Department of Mathematics**

**"**Applications of Discrete Fourier Analysis to Musical Chords
Recognition. (Senior Project Presentation)**"**

By

**ALİ DENİZ (MATH/IV)**

** (****BİLKENT UNIVERSITY****)**

**Abstract:**** **The goal of this project is to explain the
use of some

mathematical tools to the problem of recognition of the harmonic structure of a
musical piece electronically recorded. First, the mathematical tools refer to
the Discrete Fourier Transform, the Fast Fourier Transform algorithm, and the
Hidden Markov Models are explained. After a short review of the musical theory
background referring to the harmonic structure of a musical piece and a review
of some signal processing concepts as spectrogram and chromagram,
an algorithm and a MATLAB code based on all these ingredients is presented.

**Date: ****Monday, April 25, 2016**

**Time: ****15:40**

**Place: ****Mathematics Seminar Room,
SA-141**

Tea and cookies will be served before the
seminar.

All are cordially invited