Rotating Polygons on the Circle of Fifths | Surprising Results!

Rotating 10 regular polygons on the circle of fifths to produce musical sequences. The first couple of regular polygons (the triangle and the square) have easy-to-foresee musical results, but others are not so obvious until you see/hear them! This visualization was written in Java using a graphical library called Processing (https://processing.org), and Java's built-in MIDI library for sound (package javax.sound.midi). 0:00 Triangle 1:17 Square 2:10 Pentagon 3:14 Hexagon 4:06 Heptagon 5:04 Octagon 6:08 Nonagon 7:13 Decagon 8:09 Hendecagon 9:11 Dodecagon ________ Interested in learning more about algorithms and how to program? Here are some useful and/or classic textbooks that I recommend (these are affiliate links, if you buy one, I get a small commission): ▶ “Algorithms” (4th Edition) by Robert Sedgewick & Kevin Wayne: https://amzn.to/3uo25xR ▶ “Effective Java” (3rd Edition) by Joshua Bloch: https://amzn.to/3HOnYJL ▶ “Design Patterns: Elements of Reusable Object-Oriented Software” by Erich Gamma, Richard Helm, Ralph Johnson, & John Vlissides: https://amzn.to/49fpr7R ▶ “Discrete Algorithmic Mathematics” by Stephen B. Maurer & Anthony Ralston: https://amzn.to/4bmsOvG #music #musictheory #circleoffifths #polygon #code #java #software #computerscience #visualization #geometry #rotation #algorithmicmusic #algorithmiccomposition