I believe the Alembic circuit is different. In the case of the stacked and split configurations, the 60 Hz induced signal is eliminated by physically duplicating the sensing coil inductance with equivalent and opposite turns in the cancelling coil, thus doubling the pickup inductance as stated. The Alembic circuit achieves the same result by signal summation following a signal gain stage, and uses far fewer turns in the cancellation coil.
That's a clever solution! Thank you for explaining it. But I can see why it's not more common.
1. It requires an active preamp with a mixer, and a very low noise amplification circuit for the dummy coil
2. It requires a dummy coil of similar configuration to the pickup(s) used (and the bass has to have room for the dummy coil somewhere)
3. It requires some tweaking to match the gain on the dummy coil amplification circuit
4. As a result, it's not a kit you can just drop into any bass: you have to design the bass around it
(As you say, this should be less of an issue on high-dollar basses, and should probably be more common in that world.)
You can simplify this somewhat by simply adding a complete extra dummy pickup, which eliminates the requirement for a super low noise amplifier. (Since the dummy signal is being mixed actively, not passively, it won't load the circuit and the signal from the "real" pickup won't be affected.) However, this still requires an active bass and an extra pickup...and the instrument still must be designed around hiding the dummy pickup somewhere, in the same physical orientation as the real pickup.
I'm not familiar with the guts of an EMG specifically, but IIRC, "active" pickups generally have extremely low inductance (and therefore extremely low output) and count on the preamp for both amplification and the resonant LPF that simulates the response of a passive pickup. Since their inductance is so low, winding them as humbuckers (split-coil or otherwise) doesn't significantly change frequency response in the audio band.
The "active pickup" solution is most common because it doesn't require the bass builder to design around the system, and it can be retrofitted into any bass, active or passive.
And now we bring this thread back to the subject!
From my view as a product manager and designer (though not in the musical instrument or amplification field), the biggest advance was CNC machining, whose use I believe Peavey pioneered.
Before CNC, playable musical instruments were extremely expensive.
A 1966 SG Standard ($317 then) cost $2600 in today's dollars, because it required the skilled labor of many people to create.
Before CNC, cheap instruments were not just poor quality: they were often literally incapable of creating music in tune, because to cut cost you had to use unskilled overseas labor.
In contrast, CNC allows instruments to be mass-produced efficiently and repeatedly by very few people. Today you can buy a <$300 bass from ESP or Dean or Jackson or Harley Benton, or even Squier, whose workmanship matches or exceeds anything Fender made until at least the 1990s.
The impact of CNC on electric music cannot be overstated. "I want to learn to play guitar/bass" used to require sacrificing a great deal of your life in order to afford a playable instrument. Now you can buy a giggable bass for what it costs to take a family of four out for dinner and a movie.
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(9) And you won't hear me complaining.
My Japanese is not a strong point