Rotating a Hendecagon on the Circle of Fifths

Due to YouTube's recent changes on high resolution playback, it is sadly impossible to play high-resolution video with audio without client-side JavaScript enabled. Switch to SD quality or enable JavaScript to play your video with audio.

High Definition Standard Definition

Stats For Nerds

Theater

Video id : 7Iy3nFP2CFY
ImmersiveAmbientModecolor: #e1d0d8 (color 2)
Video Format : (720p) openh264 ( https://github.com/cisco/openh264) mp4a.40.2 | 44100Hz
Audio Format: 140 ( High )
PokeTubeEncryptID: d6ee202d95c5545a69fea960139fda288430082a1b395a174c83a502870e0d52288f8feeafafc7a1e443240bec4c46de
Proxy : eu-proxy.poketube.fun - refresh the page to change the proxy location
Date : 1726967070920 - unknown on Apple WebKit
Mystery text : N0l5M25GUDJDRlkgaSAgbG92ICB1IGV1LXByb3h5LnBva2V0dWJlLmZ1bg==
143 : true

Rotating a Hendecagon on the Circle of Fifths

60 FPS video

AlgoMotion

40.2K Subs

12K

299

Download

Redirect!

225

304,187 Views • Apr 1, 2024 • Click to toggle off description

Rotating a hendecagon on the circle of fifths produces either the circle of fourths or circle of fifths, whichever is in the opposite direction of the rotation.

This visualization was written in Java using a graphical library called Processing (processing.org/), and Java's built-in MIDI library for sound (package javax.sound.midi).

________

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: amzn.to/3uo25xR
▶ “Effective Java” (3rd Edition) by Joshua Bloch: amzn.to/3HOnYJL
▶ “Design Patterns: Elements of Reusable Object-Oriented Software” by Erich Gamma, Richard Helm, Ralph Johnson, & John Vlissides: amzn.to/49fpr7R
▶ “Discrete Algorithmic Mathematics” by Stephen B. Maurer & Anthony Ralston: amzn.to/4bmsOvG

#music #visualization #polygon #pentagon #circleoffifths #musictheory #scale #chromaticscale #math #geometry #rotation #modulararithmetic

Metadata And Engagement

Views : 304,187
Genre:
Uploaded At Apr 1, 2024 ^^

warning: returnyoutubedislikes may not be accurate, this is just an estiment ehe :3
Rating : 4.906 (299/12,432 LTDR)

97.65% of the users lieked the video!!
2.35% of the users dislieked the video!!
User score: 96.48- Overwhelmingly Positive

RYD date created : 2024-09-09T22:19:01.600473Z
See in json

YouTube Comments - 225 Comments

@BrokenG-String
5 months ago

Now I'm finally appreciatimg the gamecube startup jingle. Like how did someone even come up with that?

188 |

@PromptStreamer
5 months ago

I love this channel. It’s brought me back to my childhood love of music, but allowed me to combine it with my current focus on algebraic thinking and computers. This video made me think of something weird. There are 12 distinct tones (in a 12 tone division of the octave). A “fourth” is technically 5 semitones up from a given root note. Maybe it’s easier to think of the 12 tones as starting at 0, in terms of mod 12 arithmetic. Then traveling by fourths, you get 0, 5, 10, 3, 8, 1, 6, 11, 4, 9, 2, 7, (0).
This means that it counts as a “figure” or whatever they call it in Schoenbergian dodecaphonic music. The weird thing is that a 12 tone series is supposed to “balance” the ear by not having any harmonic center. But does a succession of fourths sound like that? Maybe, but I’m not sure. It sounds way more “harmonic” than other 12 tone melodies. It just opens the question of how not all twelve tone series are “made equal”. You could totally design music where you have a “window” (like, radius, distance) where the average has to be “tonally equal”. You could play around a lot with how “local” that radius should be.

5 |