I think your question mark is pointing us in a certain direction.
Intuitively, I would agree with you. I would probably also try to categorize SAJ as JP+CP, but if we look at language use, it might suggest otherwise.
In terms of the genre of juggling, each activity in it has a sub categorical title. For an example ballspinning, cigar box juggling/manipulation, devilstick, diabolo and etc, except for one category, which is the specific category of juggling, which inconveniently has the sub categorical title “juggling”. So, from the perspective of language use, The SAJ is simply the activity (activities?) that lacks another sub categorical title. We could hope that everything that is encircled by that, shared a logical criteria, but it is not certain that so is the case. There might be several activities that are significantly different, but all lack a sub categorical title. Language has ignored logic, like in so many other instances.
Already between the people that have been posting in this thread, there are separate understandings about the SAJ. Jack seems to lean towards AP+CP, where as Alex prefers JP+CP. Personally, when my thoughts first started, I was convinced about SAJ being JP+CP, but then drifted to think perhaps CP is enough. Jack had an excellent example of an activity where both AP and JP present, but without the CP:
There actually is exist at least one juggling act like that. I think it was the French company Cirque Plume that had two water hoses pointed so that the spray of water resembled the path in a very high cascade. The juggler then positioned himself so he could put his hands to cover the nozzles. By blocking the two beams asynchronously, a huge 9-ball cascade like image of water chunks appeared.
I think our best way of dealing with all this is to simply accept the language use and point out distinct phenomena. We can then find terms that clarify distinction between the activities that are inherently different.
Right now it seems as if the SAJ could actually be categorized into several different activities:
CP (example: one ball routine)
AP (example: fast conveyer belt)
JP (example: slow conveyer belt)
JP+CP (example: 333)
AP+CP (example: (4,0) (0,4))
This is how I see it at the moment. Not sure where to take it, so suggestions are appreciated!
I think we need to differentiate between an activity and a piece of art. We can refer to a piece of juggling art as “juggling”, which can be confusing. In terms of a technical language, we need separate terms for genre, activities, and perhaps also artistic piece. In a previous thread, julius pointed out a great observation: