Intervals as coordinates · routes as paths

The Number Map

Every note labelled by its semitones-from-root. Pick a scale and root, then switch traversal strategy to see each efficient route through the octave drawn as a path. Reverse any path for the descent.

+1 fret = +1 semitone (the number axis) up a string = +5 (+4 across G–B) octave = +12 = 2 strings + 2 frets

root (0) scale tone in route scale tone, off-route the path