# 2-limit

The **2-limit** consists of intervals that are either an integer whose only prime factor is 2, or the reciprocal of such an integer. Naturally, since 2/1 is the octave, this limits us to unisons,^{[1]} octaves and stacks of octaves. The 2-limit can be represented by any edo, and is in fact equivalent to 1edo, which is a subset of all other edos.

Since humans tend to perceive notes an octave apart as having the same pitch class, the 2-limit is said to be "easy to collapse", with this collapse being generally implemented in lattices. This will reduce the dimensionality of the lattice by one, allowing the 5-limit (whose intervals are represented by 3 coordinates corresponding to each prime) to be drawn in 2 dimensions, forming the familiar classical Tonnetz.

The 2-limit is equivalent to the 1-odd-limit.