Skip to content

They Key Wheel is a visualization of 7-tone musical scales that I discovered while doing mathematical research at UC Davis. The network of scales can be used by musicians to find cool new ways to change keys, and see which keys contain certain chords.

Notifications You must be signed in to change notification settings

seanjams/keywheel

Repository files navigation

Key Wheel

Live

Demo

TL:DR

BUT SEANJAMS, I'VE NEVER PLAYED MUSIC BEFORE!!!

Fear not, jive turkey! The vast majority of music is built on the 12-tone system. These 12 notes work like a clock. Count up and you'll eventually reach the same note again, only higher in pitch. However, people don't usually use all 12 of the tones in one song. Instead, they chose a "scale" out of the 12 tones (some selection of anywhere between 5 and 8, but generally 7 of these notes) and only play these during a song. The most common scale used is the Major(Ionian) scale, which sounds like "Do Re Mi Fa So La Ti Do". You may have heard it...a lot. On the clock, Major looks like:

Major Scale Rooted at 0

CMajor

and is defined by the specific ring of intervals (2,2,1,2,2,2,1) between notes. As ring implies, we can rotate this scale in any way and it stays Major. All that changes is the root.

But surely we're not that boring, we use others right???

Of course! After doing some math, there are 38 unique choices of 7 note scales on a clock (counting for all rotations), and blah blah...group theory stuff...Woah there's only 4 to 8 really interesting choices of the 38! (ping me if your curious)

Cool Scales

Major (Ionian) Melodic Minor Neapolitan Hungarian
alt text alt text alt text alt text

Honorary Choices

Harmonic Major Harmonic Minor Eastern Major Eastern Minor
alt text alt text alt text alt text

These all have the commonality that they are spaced out, there are no clumps of more than three notes on the clock, and no gaps with an interval of more than 3 clock steps. They happen to contain a lot of cool and essential symmetric properties, which adds to their sonic value as choices of scales.

OK, so what is this thing?

The Key Wheel is a network of 7 note scales. The choices of the notes on the clock are shown at each vertex, and they are connected to scales on their diagonals, which only differ by one pitch moved one clock step up or down. Some simple rules, discovered during my mathematical research at UC Davis, constrain which notes are able to be adjusted, and the network yielded provides a visual understanding of sonic "distance" between all Diatonic (Major, Ionian), Melodic Minor (Altered), and Wholetone (Neapolitan) scales.

This tool can be used by musicians in a variety of ways:

  1. Like the Circle of Fifths? Who doesn't! You may notice it embedded in the central scales horizontally, traveling from Major key to Major Key. This clearly isn't the only way to get around! There are plenty of other cycles that make just as much sense in this perspective, and are worthy of experimentation.

  2. Jamming with your friends or writing a song? What chord should I go to next? Plug in the notes you currently have and let the Key Wheel give you suggestions.

  3. The Key Wheel introduces a concept of distance between certain scale choices, and therefore sound. Musicians that write music that changes keys can use it to traverse the scales in clever ways towards a desired "far away" place.

Examples

Ex1

Ex2

Ex3

Ex4

Future Features...

  • Currently working on extending the Key Wheel to involve the other Cool Scales and Honorary Choices. So far I've discovered a new set of rules that adds Harmonic Major and Harmonic Minor to the picture, but requires a 3 dimensional rendering.

About

They Key Wheel is a visualization of 7-tone musical scales that I discovered while doing mathematical research at UC Davis. The network of scales can be used by musicians to find cool new ways to change keys, and see which keys contain certain chords.

Resources

Stars

Watchers

Forks

Releases

No releases published

Packages

No packages published