Sound:
I suspect it is the nature of the horn/waveguides that cause me to almost always hear a difference in the sound without being able to determine which I like better. Ultimately, these two speakers have a lot in common. Primarily, they are both exciting speakers! Neither is a "sophisticated laid back" speaker. Rather, they are a little "in your face". Indeed Klipsch proudly advertises this with slogans like "pissing off the neighbors for 62(?) years" and their powered subs have gain knobs that actually go to 11!
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IMHO, this makes them both good speakers for Rock/Metal etc.
On this count, I would tend to view the Klipsch as being a touch farther "out there" than the JBL, but that is a very subjective judgement. It may be bias from the Klipsch marketers doing their job well!
However, don't interpret that to mean you won't enjoy classical/symphonic music, just expect the strings to have a little more vitality than they perhaps should during subdued pianissimo passages.
The Klipsch often would impart more immediacy to impacts and the JBL offer a fuller sound. But both were good at either task.
Looks:
IMHO, the Klipsch is a beautiful speaker once the grill is removed (though I'm not sure why the put the arc atop the waveguide) and a nice looking speaker with the grill in place:
IMHO, the JBL is a beautiful speaker with the grill in place, but rather utilitarian looking without the grill:
Bass:
Surprisingly, the 6.5" JBL produced subjectively more and deeper bass than the 8" RP-82ii's! I haven't yet looked on-line to see if I can find FR measurements on these two. I do perceive the Klipsch's as having slightly better impact for a kick drum, but otherwise it was a bit lean on bass. The JBL was not bloated or muddy by any means.
If there will not be a sub in the picture, the extra bass of the JBL more than compensated for the perceived tightness of the Klipsch. And presumably more so for the 8" JBL 590!
Crossed over to a sub, the JBL no longer has an advantage and I suspect the impact I heard from the Klipsch actually comes from higher frequencies and would be retained, so the Klipsch gains an edge in this aspect.
Conclusion:
Both of these are very enjoyable speakers. They make for an interesting comparison because they have a similar overall character, while definitely not sounding the same. I bought both on closeout. I got a good deal on the Klipsch at $400 each and an incredible deal on the JBL at $260 each. Ideally, I would be comparing the RF-82ii to the Studio 590 or the Klipsch RF-62ii to the Studio 580 so the woofer sizes would match.
For HT and paired with a sub, the Klipsch's horn impart a "quickness" that makes it get extra real when you are on the edge of your seat and the crapola hits the fan. That is what caught my attention and led me to buy mine! I would love to see where this shows in measurements, but haven't yet found a good set of measurements. This same "quickness" pays dividends for energetic music making things just a little sharper, but my tastes have mellowed over the years.
In contrast, the JBL's are just easy. They still have more excitement/energy than most speakers I have heard, but not quite up to the Klipsch on this count. Whether that is a good or a bad thing is the question, and I am having a difficult time deciding!
I am at the point where I'll probably add in Audyssey and subs and see if that makes it an easier decision!