Well alrighty then! You're the perfect one to ask, as far as similarities and differences in tone.
My CJ5 doesn't have a matching headstock. It's eggplant black, almost deep purple in certain light.
The F Bass is the only other bass, I know of that encourages you to use the full range of the preamp.
I was about to get a CS5 with a fancy top... and then I heard the F Bass clips. How would you say they match up? They seem totally different to me, but in good ways. Feel free to PM me as well.
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Yeah you're right, they are totally different in both playability and tone.
In my opinion, the Dragonfly has a very modern tone - but not as hifi and in your face as, say, a Spector. I would compare the Dragonfly more like a Sadowsky. I've owned several of those and they sound like a modern jazz bass.
The FBass BN5 has a very vintage inspired tone. It's the only bass I've ever played where the preamp never overwhelms the natural passive tone of the bass. To my ears, there is no hifi-ness at all. It's a very warm, punchy and smooth, traditional sounding bass. It sounds like an old vintage 60's jazz bass. The preamp is boost-only and you tend to use it sparingly. I usually only need to bump the bass and treble just a bit. But, you can boost the mids all the way, then bump the bass about 10%, favor the back pickup, and you'd get a massive throaty tone that Jaco would probably be jealous of. If you search for some Rich Brown videos on YouTube, you'll actually hear him using this same tone in some of his lesson videos. It really is a unique tone that FBass seems to excel at.
My BN5 can not only sound like the best jazz bass you ever heard, but the neck pickup soloed and preamp are capable of giving me the best PBass tone I've ever heard (and I've owned 3 Fender Custom Shop precisions over the years). I brought a PBass and the BN5 to a studio session once and the engineer wanted the PBass. I let him hear the FBass with the neck pickup and he changed his mind.
The feel of the neck on the FBass is also unique - the width tapers quite a bit from the 12th fret down to the 1st, and it is very flat. Someone correct me if I'm wrong, but I think it's a compound radius that goes up to about 15 or 16 inches. The back of the neck is super smooth and buttery feeling. But so is the Dragonfly.
The FBass neck will be thinner than the Dragonfly - but not as thin as an Ibanez or an MTD.
Right now, my best basses are an MTD USA Saratoga 5, a Roscoe SKB 5, a limited edition Sadowsky Modern, and 2 F-Basses (the BN5 and a VF 5 that has a musicman style humbucker in the back).
All of the active basses - including the F-Bass VF model - sound like active basses. The BN5 sounds like a passive bass on steroids. The VF sounds active because it has all Aguilar pickups and electronics. There really is something special about that F-Bass preamp.
The BN5 is also the quietest bass I've ever owned. I've been in noisy electrical and lighting situations where even the MTD would generate noise, but the FBass never would - and I play it almost exclusively in single coil mode.
Out of all my basses, the best playing neck goes to the Roscoe. A close 2nd is a tie for the BN5 and the MTD. As for tone, if I want vintage-inspired, super jazz bass and/or PBass tones, I will always grab the BN5. If I want a very modern style of tone, I would grab the Sadowsky Modern 5 or the Roscoe.
I honestly don't play the Dragonfly much these days - mainly because I have so many other basses in rotation - but I would put it somewhere between the Sadowsky and MTD in terms of sound and flexibility of tone.
Hope that's helpful!