Math and Art

An idea to put golden ratio into music

Use golden ratio to divide the timeline into two parts, a and b, in both a and b, use golden ratio to divid it into another two parts. Repeat the process few times, I got the graphic above. For easier understanding, I made the digital graphic. The top horizontal black line is the timeline of the music, the lines below the transparency square are the process of how the golden ratio divide a line into two parts. Very interestingly, after I made the graphic, I found there are lots equaled lines in it. For example, the two lines between the first two red lines and divided by the first green line. I think, it must be the golden ratio did its magic. Each colour in the graphic represents different noise, black is white noise, green is pink noise, red is brown noise. Each noise will start playing the sound when time reaches the certain colour point on the timeline, stopes playing when time reaches the next colour point, and plays the next noise at the same time.