I deleted this
- "More generally, a scale is a division of an acoustic frequency range in an interval [f,2*f] with a finite number of steps which are defined by their relation to the root of the scale, the note with frequency f."
Because
- a.) it doesn't make a whole lot of sense
and
- b.) it holds to an incorrect (and now deleted) idea that integral to the idea of a scale is whether it ascends or descends by steps, and this is not true in the most general case.