What do we call this (new?) higher-order function?

Question

I am trying to name what I think is a new idea for a higher-order function. To the important part, here is the code in Python and Haskell to demonstrate the concept, which will

Answer 1

I'd be tempted to call it contour as I've used it for "contour" processing in music software - at the time I called it twomap or something silly like that.

There are also two specific named 'contours' in music processing one is gross contour - does the pitch go up or down. The other is refined contour where the the contour is either up, down, leap up or leap down, though I can't seem to find a reference for how large the semitone difference has to be to make a leap.