Generator gronut/Mathematics

This is a technical or mathematical page. While the subject may be of some relevance to music, the page treats the subject in technical language.

(Under construction)

Let $m>1$ and $n>m,\gcd (n,m)=1$ be integer edos and fix a generator $g,2\le g\le m-2$ with $\gcd (g,m)=1.$ Let $h$ be the modular inverse of $g$ modulo $m.$

Consider the "cylinder" $\mathbb{\mathbb{Z}}/m\times [0,1)$ with coordinates $(x,y)$ = (along "longitude", along "meridian"). The $(n,g\mathrm{\setminus }m)$-gronut is constructed as follows:

1. Glue the intervals $[0,1)$ end to end, making a (continuous) circle of circumference $m$
2. Take $n$ equally spaced points on said circle