1/8 crossing values arise because the drillings are (to a reasonable approximation) about half as far apart as normal.
This is almost exact in the case of the X-cluster rims (both yours and the one in my photo) but in fact it is a little less exact in the case of the W-cluster rim I photographed; if this has caused confusion I apologise. It would be exact for the W-cluster rim in the photo if each pair (where in this context there is a pair each side of the valve hole) was exactly half the normal distance apart and still centred on the usual position for that pair, but this isn't quite the case. In fact for this particular W-cluster rim there is a small error because x2.875 is a slight underestimate and x3.125 is also a slight underestimate.

The true values for this particular rim are probably closer to x2.90 and x3.15. (If the spoke is one hole out of position (1/36 of a turn) then this is an error of 0.5 in the crossing value).
Using the same values as previously as an example; (60dia 28offset hub 600 rim)
36x3 = 286.3mm, x3.125 = 287.5mm, x2.875 = 285.2mm, x3.15 = 287.8mm, x2.9 = 285.4mm
so in each case there is an error of about 0.2 or 0.3mm.
This error would be smaller if the hubs were small flange ones (instead of the large flange 60mm dia value used) but equally might be larger with a larger hub and/or a different starting value for the crossings.
so if the hub is 90mm dia then x3 = 280.4mm, x3.125 = 282.2mm, x2.875 = 278.6mm, x3.15 = 282.6mm, x2.9 = 279mm
and we are up to 0.4mm error in length. This might be enough to tip you over into using a different spoke length, but probably not; you are still far better off than if you didn't make any correction at all.
In point of fact it isn't exact but it is normally OK to use a linear interpolation between crossing values. So even with a 90mm hub flange diameter
36x2 = 267.4mm
36x3 = 280.4mm
36x4 = 295.7mm
i.e. from x2 to x3 is 'worth' 13.0mm and from x3 to x4 is 'worth' 15.3mm. If you worked in increments of a tenth of a crossing then near x3 each crossing error of x0.1 (which is about 10.5mm position error around the rim circumference of a 600ERD rim) would be 'worth' ~1.4mm in spoke length.
These errors go pro-rata with hub diameter, so with a small flange hub they are straight away at least half as much. If your estimate is ~5mm out of position (a crossing error of ~x0.05) around the rim with a SF hub, then you are incurring an error of ~0.35mm.
I hope that makes it a bit clearer (rather than the other thing). It is simply a question of estimating how far out of the 'normal' position the spokes will be and translating that into a 'crossing value' that is acceptably precise.
BTW 'acceptably precise' is in relation to the other errors you will encounter in spoke length. It is easy to be blasé about these things but errors in spoke length calculation can just as easily turn cumulative as cancel one another out.
If you are careful about the usual measurements, one of the biggest errors you can encounter is if there is a variation in the J-bend length/head shape and the shape/thickness of the flange. If you always use the same brand of spoke and hub (and they are made consistently) you probably won't even notice this but if you don't, it is very easy to have a head that settles differently into the hub flange and also to have a small variation in the J-bend length. If there is (net) an extra 1mm of J-bend, by the time the wheel has been stress-relieved properly the spoke lengths can be 1mm out. I recently fell foul of this; just using a different make of spoke (even in a rim/hub combination I'd built before) was enough to tip it from 'perfect' to ~1mm too short. Why did I not just go +1 mm in the first place? -well +2 was the closest length I could obtain, it was a single-walled rim and I didn't want to dress the spokes if I could avoid it, and of course if the spokes are ever adjusted they can start out flush with the nipple top and then go through the rim tape. I'd previously built this rim with all the spoke ends finishing mid-slot ( a near-perfect result) and I was hoping to do the same again. Some hope.
Because I was re-using a hub I followed the original spoking pattern which was 'skew' (inside spokes leading on one flange and trailing on the other) which means that the spoke lengths are all a little bit out anyway; the inside spokes should all be ~0.5mm shorter than calculated and the outside spokes are ~0.5mm longer. In a 'symmetric built' wheel (inside leading (or trailing) on both flanges) this isn't seen (because the hub can twist very slightly and this can make the error disappear) but in a skew-built wheel it just adds more errors to those present already. I've (somewhat depressingly) come to the conclusion that whilst the wheel in question would probably work OK, and most folk would be happy if they had built it, I shall never be 100% happy with it and I shall end up rebuilding it with +2mm spokes (the next nearest length available in these spokes, I normally work to 1mm if I can....

), even though some of them will (unavoidably because of the skew spoking) be poking out of the nipples slightly. So several small things (the J-bend/settling variation, the single walled rim, the coarse increment in available spokes, and the skew spoke pattern) can add up to one big thing and you end up with some of the spoke ends being 1mm below the slot bottom.... The net result of this is (for the first time in -literally- decades) that I shall spend another £20 on spokes, and I shall have to waste time dismantling and rebuilding the wheel...

.
Ho hum....
cheers