Given a set $P_i$ of probabilities and a Cumulative Distribution Function of $X$ you can find the set $X_i$ of values of $X$ corresponding to $P_i$. The $X_i$ are the "quantiles". Is there an equivalent generic term for referring to the $P_i$ corresponding to a given set of $X_i$?
You could refer to them as the CDF but in standard use that refers to the $P_i$ corresponding to all the $X_i$ rather than some designated subset of interest.
In the absence of a pre-existing name I'll probably use some awful phrase like "Corresponding Cumulative Probabilities" (abbreviated as CCP and pronounced "soviets").