The Lace Alumitone™ pickups, like the X-Bar, which we use extensively, is based on a non-conventional technology (which we will not go into here) that provides noise- and hum-free high definition full range sound in a beautiful and lightweight package.
They don’t consist of two separate hum canceling bobbins like a humbucker, so when wiring them, there are less options. The option that they do provide is a “split” which is more similar to a coil tap, but it is again not a conventional coil tap because it does its magic without a dramatic loss in signal. But it changes the voicing of the pickup in a very nice way.
Connecting one of these pickups, using the split option, can be confusing because rather than shorting out one of the bobbins or part of the coil, you actually choose a different ground but leave the hot (signal) wire alone. For a humbucker sound, connect the white/black cable to ground and leave the white cable disconnected and for the single coil sound, connect the white cable to ground and leave the white/black disconnected. (Leaving the white cable completely disconnected is important – resist the temptation to connect it to the other white cable, or shorting it to ground.)
Here is a diagram on how to use a 4-pole 5-way switch (aka “Superswitch”) to obtain split sounds in position 2 and 4. Enjoy! (Note that the white/black cable on the pickup is depicted as black in the diagram. The very nice and free software DIYLC was used to create the diagram.)