Quasiperiodic scales

What is the correct nomenclature, if any, for scales which exhibit the
quasiperiodic property

s[i+P] = s[i] + c (in log form)

or

s[i+P] = k*s[i] (in multipliciative form)

These I am calling "quasiperiodic" because that's what mathematicians
call things such as theta functions or the Weierstrass zeta function
when they act like this. It's just your usual, garden-variety scale
with some period or another (c or k depending on whether we are adding
or multiplying) but I don't recall that usual, garden-variety scales
ever got named.

On 5/27/06, Gene Ward Smith <genewardsmith@coolgoose.com> wrote:
> What is the correct nomenclature, if any, for scales which exhibit the
> quasiperiodic property
>
> s[i+P] = s[i] + c (in log form)
>
> or
>
> s[i+P] = k*s[i] (in multipliciative form)
>
> These I am calling "quasiperiodic" because that's what mathematicians
> call things such as theta functions or the Weierstrass zeta function
> when they act like this. It's just your usual, garden-variety scale
> with some period or another (c or k depending on whether we are adding
> or multiplying) but I don't recall that usual, garden-variety scales
> ever got named.

Is this what you're talking about?

http://en.wikipedia.org/wiki/Modes_of_limited_transposition

Keenan