I wish there were a name for the generic type Foo<T> such that a rope is exactly a Foo<Char>. In other words, a rope-of-non-character primitives (like bytes or floats).
Generalizing even further, I wish there were a name for the generic type Bar<T,M> which is a b-tree of T-values, plus a monoid [1] M over T, where each non-leaf b-tree node stores the M-sum of its descendents [2]. This lets you quickly compute the M-sum of arbitrary ranges or search for an element by the M-sum of its predecessors. Ropes are essentially Bar<Char,(0,+)> so the monoid gives you the number of characters in a range.
If you let M=(0,max) or M=(0,min) you can get the min/max value in arbitrary ranges in O(log n) time. This is extremely useful for all sorts of things, from algorithmic trading (order books) to VLSI (plotting waveforms from gigantic simulations). If M1 and M2 are monoids, then $M1\cross M2$ is a monoid, so these "range summaries" are very modular -- you can mix and match them.
In the functional programming community there is a data structure called a finger tree [3] which are a specific case of Bar<T,M> implemented as an immutable data structure. Immutable data structures are nifty, they have benefits, but also costs. I don't know what to call Bar<T,M> implementations which are non-immutable (i.e. ephemeral or update-in-place) data structures.
If anybody knows of generally-accepted names for these (or wants to suggest some) please reply. I plan to add this functionality into (a fork of) LMDB.
[1] https://en.m.wikipedia.org/wiki/Monoid
[2] actually you want to store the M-sum of the descendents of each child node alongside the pointer to that child node
[3] https://en.m.wikipedia.org/wiki/Finger_tree