R^{ω} (pronounced "R-Omega") is an infinite-dimensional space residing at the boundaries of our intellect. We first learn of R^{2} in middle school (two-dimensional space), and our physical universe can be described in terms of R^{4} (four-dimensional spacetime). R^{ω}, however, is an infinite-dimensional space even larger than R^{∞} ("R-Infinity").

Any point in any space can be described by a sequence of real numbers called a tuple, each number being an ordinate (points in R^{2} are described by 2-tuples, nicknamed coordinates). R^{ω} is just like R^{∞} in the sense that its tuples are infinite sequences of real numbers. But while every infinite tuple in R^{∞} must eventually end with an infinite string of zeros, each of the infinite ordinates in an R^{ω} tuple is free to be any real number.

One can think of R^{2} as being contained inside R^{3} if a zero ordinate is annexed to each coordinate in R^{2} (geometrically, we can envision the two-dimensional Euclidean plane of R^{2} resting inside the three-dimensional space of R^{3}). Similarly, every n-dimensional space R^{n} is contained within R^{∞} if an infinite string of zeros is annexed to each n-tuple. What this means, then, is R^{∞} is actually contained inside the much larger R^{ω}.

Below is a link to a zip file with custom wavetable banks for the Piston Honda module.

**Click here to download** (5.6 MB; includes hi-res screenshots of wavetables)