1882 · just-intonation lattice

The Lattice

Play Resonance’s harmony as a living just-intonation lattice: every node is an exact small-integer frequency ratio, and consonance you can hear is closeness you can see.

Keyboard: the home row is near the tonic 1/1. Step right for a pure fifth 3/2, step up a row for a pure major third 5/4. Hold several keys to ring a beatless just chord. A MIDI keyboard, or tapping the nodes, works too.

100/81150/27225/18325/24425/16575/646225/1287675/51282025/102496075/40960160/81Q40/27W10/9E5/3R5/4T15/8Y45/32U135/128I405/256O1215/1024P128/81A32/27S16/9D4/3F1/1G3/2H9/8J27/16K81/64L243/128;512/405Z256/135X64/45C16/15V8/5B6/5N9/5M27/20,81/80.243/160/

Solid links are pure perfect fifths (×3/2); dashed links are pure major thirds (×5/4). The heavy-ringed node is the tonic 1/1. Adjacency is consonance.

The dream lab — Karel Barnoski