Confidence (4)

I think I'm getting better and better.

I got some more time to practice this week with the snow day yesterday and a relatively light week. However, on the weekends, I am extremely busy. This is a disappointment since usually I blocked off time on the weekends to practice.

On Saturdays I usually do my school homework and other stuff. On Sundays, though, I have to teach a math class and then have a math practice. That's from 12-8.

This week I researched the hidden aspects of mathematics in music. I have to say, I am really surprised at this. I didn't know that everything fit like it did.

The Golden Ratio is approximately 1.618. It is most common by founding the positive value of x in the equation x^2-x-1. But it's not as simple as that.

Take the Fibonacci sequence, for example. The first two terms are 1 and 1. The next terms are found by adding the previous terms. So the Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and so on. Divide each each pair of terms. Therefore, 1/1=1, 2/1=2, 3/2=5, 5/3=1.667, 13/8=1.625, 21/13=1.615, 34/21=1.619, 55/34=1.618. What do you notice? The numbers get closer and closer to the golden ratio! Something seemingly unrelated like the Fibonacci numbers are related to the golden ratio.

In piano, there are 13 notes in between an octave (including the black keys). A scale is 8 notes long and 5th and 3rd notes are the basis for all chords. Coincidence? Possibly, but the golden ratio and the Fibonacci sequence are known for occurring randomly in nature.

You can go even deeper. What happens if you divide any two Fibonacci numbers?

It's definitely a surprise that math is found in music. Now do you think math is useless?

Videos going up this weekend!

Last week I commented on:

MoCap the World: From Human to Animation by Daniel CZ

Bundle of Vessels by Rhea M

SHE CODES by Becca D