There’s a connection between math and music. It has been discovered that Bach composed many of his masterpieces according to mathematical patterns. The 12 tone row used in contemporary classical music is basically an algorithm.
Leonardo Fibonacci discovered a sequence of numbers that has been shown to be the underlying pattern of the Universe, in everything from flower petals to seashells to the galaxies themselves. They have been used in everything from analyzing art to music to the stock market.
And of course, as a music teacher, you have to explain a lot about the distances between notes as intervals as in 2nds, 3rds, 4ths, 5ths, etc.