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"Standard IF" is not a useful designation.
The "opposite" of staggered tuning is synchronous tuning. Both of these generally can apply to any IF where each stage has a single resonant circuit (coil and capacitor).
Synchronous tuing means every stage is tuned to the same frequency, and the overall response has the single peak frequency with a bandwidth narrower than any one stage. With stagger tuning, the peaks of the individual stages are different, so one stage may have maximum response at center, while others have maximum at higher or lower frequency. Stagger tuning produces less gain at the center freuency, but boosts the gain somewhat at higher and lower frequency, giving a wider bandwidth.
Then there are double-tuned stages, as illustrated above. A double-tuned amplifier has two tuned circuits between stages that are coupled (usually magnetically, but could be with a capacitor). Even though each tuned circuit is (usually) tuned to the same frequency individually, when they are coupled the response bandwidth becomes broader, and if the coupling is strong, will actually develope a double-peaked response, with a dip in the middle.
Fun fact: coupled oscillator theory applies to any sort of coupled resonators including mechanical objects. It is used on those strange dumbell type weights (vibration dampers) you may see on high tension wires, to reduce wind vibrations, and also in "mass dampers" in some tall skyscrapers to reduce wind sway.
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