In this talk, I will introduce the audience to the original beauty that leads to exploring the mathematical elements in music. I will cover the following topics on the connection between music and mathematics.

- Harmonics & equations

- Pythagoras tuning & Equal temperament tuning

- Logic, structure, symmetry, geometry, pattern in Bach’s music and in the musical form of the fugue, the most mathematical of musical structures.

- Fractals and their musical translations

- AI and music generation

- AI transcription of piano music

- (String quartet performance of HJ Lim’s fugue that uses geometric and other mathematical elements; Vn1. 피예나 Vn2. 류경주 Va. 임혜진 Vc. 김상민)

- Fibonacci sequence

- (Performance by HJ Lim of her piano piece 'Infinity' inspired by the Fibonacci sequence)