Octave Equivalent Music Lattices

[Skrik]

I'm not sure I have any use for these Octave Equivalent Music Lattices yet (I'm pretty sure I don't understand them, though), but someone else might have, so I thought I'd pass them along.

[garytelecastor]

Actually Skirk they are kind of simple in their make-up.
On the site starting with the second illustration, it lays out the harmonic relationship between the 1, 3, and 5 of a triad.
So the 1, 3, 5 of Gmaj is G, B, D
If you look down Gmin is G, Bb, D
Moving to the right on the same line is the circle of 5ths.
It is just an easy way to learn chord structure

GMaj7 = G, B, D, F#
GDom7 = G, B, D, F

Amaj is A, C#, E
Amin is A, C, E
AMaj7 is A, C#, E, G#
ADom7 is A, C#, E, G

Try to see the patterns in the lattice. This is actually pretty cool. Every pattern for a major chord is the same regardless of which note you start on, and same for a minor chord, dominant 7, 9th, 13 etc.
This thing is really cool.

[blacklinefish]

What a fascinating way of organizing notes into a spatial topology. I wonder if that has a pedagogical use, maybe LarryF can weigh in. Personally, although I find it interesting, I don't think of music this way. (...this comes from a guy who is trained to think in spatial patterns, linear referencing, dynamic segmentation, linear networks, point clustering, etc.)

--gh