If you worked through the tutorial you learned how to use The Harmonic Lattice to play notes and create chord progressions. In this section we will dig deeper into the theory underlying The Harmonic Lattice. By understanding how the lattice is constructed and relates to other concepts in music theory you will develop an intuitive sense of how musical concepts are represented on The Harmonic Lattice. You will also gain a deeper understanding of harmony in general.

When you pluck a string on a guitar it vibrates but the motion of the string is actually not so simple. The ends of the string are attached to the fretboard so but the rest of the string is free to move. The tension in the string provides a force that tries pull the string back to its original resting position. The combination of the fixed end points of the string and the tension force cause the string to vibrate in a number of discrete "modes". Guitar players and musicians tend to call these the "harmonics". It's no coincidence that harmonics and harmony share the same root. Harmonics contain the origins of musical harmony and they are central to the Harmonic Lattice.

This animation shows the motion of the string responsible for the first 6 harmonics. Notice how the simpler modes of oscillation have lower frequencies. The intervals that we use to construct the musical harmonies can be 

The frequencies that

 

Start with a single note

Add some fifths above

F is a reciprocal note 

 

Add the thirds above

These are triads

Add the thirds below

Add some more notes