I have always been intrigued by the relationship between music and math. It’s well known that Albert Einstein loved playing his violin. Musical structures are mathematical in nature. Music theory is numeric in nature and its vocabulary can be directly translated to the language of math.
Many musical concepts have mathematical counterparts. 1 & 3
1- Music notation is strictly ordered- The major scale is arranged with 5 full tones and 2 semitone intervals.
2- Rhythm requires a logic to count bars and longer phrases.
3- Strings vibrate at certain frequencies.
4-Sound waves can be described by mathematical equations.
5- Stringed music instruments require a certain shape in order to resonate with the strings in a mathematical fashion
6- Mathematics is the language that physicists utilize to describe the natural world and all of these things occur in the natural world.
7- Music theory supplies us with conceptual categories to organize and understand music.
8-To find a good way of hearing a musical piece means to comprehend the music in such a way as to make it tangible.
Hensley Pink visually shows how a children’s nursery rhyme, Mary had a little lamb, can be presented using numbers. ”
While it is unlikely anyone will discover a universal mathematical formula representing all music, it needs to be acknowledged that a well trained musician, by nature, must be able to think in abstractions, a sound way of thinking through math problems.