API to find parses in a given timeframe

Is there any way to query all parses in a given timeframe from the FF Logs API?

I’m trying to graph the prevalence of each job in FF14 per encounter over time. What I’d like to get is effectively the “parses” column of a statistics page like https://www.fflogs.com/statistics/21#sample=7&boss=51, but for every week since an encounter was released rather than just the most recent week.

The best I’ve been able to do with the documented API is to grab the rankings for an encounter, filtered to a one week window, and then count the occurrences of each job. As far as I can tell though, this only gets me the best score from each player for each job, so I’m missing a lot of data.