In a short answer, I'd agree with Adriaan. The quickest way to make the action feel 'tighter' is a raised-maybe-more-than-it-needs-to-be nut.
And it's often overlooked: Most of us are used to the usual fixed plastic or bone nut that's not changed without a little work, so we tend to forget that on an Alembic this is EVERY bit as adjustable as the bridge.
If you're using feeler guages, shoot for .025 inch clearance between the bottom of the string and the top of the first fret, and this is with the strings 'free-standing', in other words, no notes fretted anywhere along the string. Do this under your low B and also under the G, as Alembics adj nuts have a separate halves for the low and high side of the fingerboard on their five-strings.
Now this is pretty low, so as always, find a height that works for you, your bass, and the strings you're using. Best case, this is a part of your overall set-up, and doing it a standalone adjustment will affect yur other settings: It may not make any extra problems, or could add buzzes if your height over the last fret was real low and you're running enough relief for this new adjustment to add buzz. Or it may not and just make it easier to play. You'll just have to try it and see.
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Recently I noticed my green Elan 5 was getting fairly grumpy to play. Strings had gotten noticeably higher. Kept telling myself I'd 'get a Round Tuit' one day soon and straighten it out.
So the other day, I decided to get after it. Was amazed how high the strings had gotten once I got to measuring them.
So I got out the feelers and the steel ruler and the 1/4 wrench and began. Cranked a bit more into it than I was expecting to get it to my usual .012 relief (this green one really, really needs to be almost dead straight to be happy). Checked my other heights, touched everything up, great, played like butter.
I really kept wondering why it had moved so much, the incredible winter we've had, gravitational anomalies, Obamacare, really had no clue . . . . until . . . . I had thought of using the second set of D'Addario XL's I bought at the same time as the set that was on it. I looked at the guages, and the light came on.
Played right into your post:
I had tried previously a light set (40-125), and D'Ad quotes the string tensions (in pounds) as 33, 43, 38, 34, and 31, G thru B. For me, they were way too light and went back to a medium set (50-135), which was on the bass when I noticed how high the action had crept up. Well, no wonder ! I'd set the bass up for those itty-bitty strings.
The medium set string tensions were 53, 60, 48, 40, and 36, QUITE a difference. No wonder the neck had pulled into more relief, and I had not paid attention to the nut (it was high) in quite a while, so it now is way easier to play than it was, even with these bigger strings. I'd set it up without checking the nut height, it still felt hard to play: Once I got it set properly, it eased right up.
As always, idiot-proofing myself is a full time job . . . . .
J o e y